From 807eb0adb6b3991b17f3ec09f89beee6b12c0435 Mon Sep 17 00:00:00 2001
From: strengejacke <mail@danielluedecke.de>
Date: Thu, 9 May 2024 17:11:40 +0000
Subject: [PATCH] =?UTF-8?q?Deploying=20to=20gh-pages=20from=20@=20strengej?=
 =?UTF-8?q?acke/sjstats@45ec2a857e529efd3ca6ceb4d18e45a1345e121e=20?=
 =?UTF-8?q?=F0=9F=9A=80?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 news/index.html                      |  18 +-
 pkgdown.yml                          |   4 +-
 reference/chi_squared_test.html      | 211 ++++++++++++++++++++
 reference/crosstable_statistics.html | 133 ++++++-------
 reference/cv_error.html              |   8 +-
 reference/find_beta.html             |  28 ++-
 reference/index.html                 |  22 +--
 reference/kruskal_wallis_test.html   | 171 ++++++++++++++++
 reference/mann_whitney_test.html     | 192 ++++++++++++++++++
 reference/mean_n.html                | 168 ----------------
 reference/means_by_group.html        | 279 ---------------------------
 reference/mwu.html                   | 268 -------------------------
 reference/r2.html                    |   6 +-
 reference/weighted_sd.html           |  59 +-----
 sitemap.xml                          |  10 +-
 15 files changed, 685 insertions(+), 892 deletions(-)
 create mode 100644 reference/chi_squared_test.html
 create mode 100644 reference/kruskal_wallis_test.html
 create mode 100644 reference/mann_whitney_test.html
 delete mode 100644 reference/mean_n.html
 delete mode 100644 reference/means_by_group.html
 delete mode 100644 reference/mwu.html

diff --git a/news/index.html b/news/index.html
index 73454b1..1209b79 100644
--- a/news/index.html
+++ b/news/index.html
@@ -83,8 +83,8 @@ <h3 id="deprecated-and-defunct-0-18-1">Deprecated and defunct<a class="anchor" a
 <div class="section level3">
 <h3 id="general-0-18-1">General<a class="anchor" aria-label="anchor" href="#general-0-18-1"></a></h3>
 <ul><li><p>Improved printing for <code><a href="../reference/weighted_sd.html">weighted_mannwhitney()</a></code>.</p></li>
-<li><p><code><a href="../reference/weighted_sd.html">weighted_chisqtest()</a></code> can now be computed for given probabilities.</p></li>
-<li><p><code><a href="../reference/means_by_group.html">means_by_group()</a></code> now contains numeric values in the returned data frame. Value formatting is completely done insight the print-method.</p></li>
+<li><p><code>weighted_chisqtest()</code> can now be computed for given probabilities.</p></li>
+<li><p><code><a href="../reference/r2.html">means_by_group()</a></code> now contains numeric values in the returned data frame. Value formatting is completely done insight the print-method.</p></li>
 <li><p>Updated imports.</p></li>
 </ul></div>
 </div>
@@ -127,9 +127,9 @@ <h3 id="general-0-17-8">General<a class="anchor" aria-label="anchor" href="#gene
 <li>
 <code>svy_md()</code> was renamed to <code><a href="../reference/weighted_sd.html">survey_median()</a></code>.</li>
 <li>
-<code><a href="../reference/mwu.html">mannwhitney()</a></code> is an alias for <code><a href="../reference/mwu.html">mwu()</a></code>.</li>
+<code>mannwhitney()</code> is an alias for <code>mwu()</code>.</li>
 <li>
-<code><a href="../reference/means_by_group.html">means_by_group()</a></code> is an alias for <code><a href="../reference/means_by_group.html">grpmean()</a></code>.</li>
+<code><a href="../reference/r2.html">means_by_group()</a></code> is an alias for <code>grpmean()</code>.</li>
 </ul></div>
 </div>
     <div class="section level2">
@@ -308,7 +308,7 @@ <h3 id="changes-to-functions-0-17-5">Changes to functions<a class="anchor" aria-
 <div class="section level3">
 <h3 id="bug-fixes-0-17-5">Bug fixes<a class="anchor" aria-label="anchor" href="#bug-fixes-0-17-5"></a></h3>
 <ul><li>In some situations, <code><a href="../reference/samplesize_mixed.html">smpsize_lmm()</a></code> could result in negative sample-size recommendations. This was fixed, and a warning is now shown indicating that the parameters for the power-calculation should be modified.</li>
-<li>Fixed issue with wrong calculated effect size <code>r</code> in <code><a href="../reference/mwu.html">mwu()</a></code> if group-factor contained more than two groups.</li>
+<li>Fixed issue with wrong calculated effect size <code>r</code> in <code>mwu()</code> if group-factor contained more than two groups.</li>
 </ul></div>
 </div>
     <div class="section level2">
@@ -405,13 +405,13 @@ <h3 id="changes-to-functions-0-17-2">Changes to functions<a class="anchor" aria-
 <li>
 <code>tidy_stan()</code> supports printing simplex parameters of monotonic effects of <strong>brms</strong> models.</li>
 <li>
-<code><a href="../reference/means_by_group.html">grpmean()</a></code> and <code><a href="../reference/mwu.html">mwu()</a></code> get a <code>file</code> and <code>encoding</code> argument, to save the HTML output as file.</li>
+<code>grpmean()</code> and <code>mwu()</code> get a <code>file</code> and <code>encoding</code> argument, to save the HTML output as file.</li>
 </ul></div>
 <div class="section level3">
 <h3 id="bug-fixes-0-17-2">Bug fixes<a class="anchor" aria-label="anchor" href="#bug-fixes-0-17-2"></a></h3>
 <ul><li>
 <code>model_frame()</code> now correctly names the offset-columns for terms provided as <code>offset</code>-argument (i.e. for models where the offset was not specified inside the formula).</li>
-<li>Fixed issue with <code>weights</code>-argument in <code><a href="../reference/means_by_group.html">grpmean()</a></code> when variable name was passed as character vector.</li>
+<li>Fixed issue with <code>weights</code>-argument in <code>grpmean()</code> when variable name was passed as character vector.</li>
 <li>Fixed issue with <code><a href="../reference/r2.html">r2()</a></code> for <strong>glmmTMB</strong> models with <code>ar1</code> random effects structure.</li>
 </ul></div>
 </div>
@@ -438,7 +438,7 @@ <h3 id="changes-to-functions-0-17-1">Changes to functions<a class="anchor" aria-
 <div class="section level3">
 <h3 id="bug-fixes-0-17-1">Bug fixes<a class="anchor" aria-label="anchor" href="#bug-fixes-0-17-1"></a></h3>
 <ul><li>Fixed issue with <code>model_family()</code> and <code><a href="https://easystats.github.io/insight/reference/link_inverse.html" class="external-link">link_inverse()</a></code> for models fitted with <code><a href="https://rdrr.io/pkg/pscl/man/hurdle.html" class="external-link">pscl::hurdle()</a></code> or <code><a href="https://rdrr.io/pkg/pscl/man/zeroinfl.html" class="external-link">pscl::zeroinfl()</a></code>.</li>
-<li>Fixed issue with wrong title in <code><a href="../reference/means_by_group.html">grpmean()</a></code> for grouped data frames, when grouping variable was an unlabelled factor.</li>
+<li>Fixed issue with wrong title in <code>grpmean()</code> for grouped data frames, when grouping variable was an unlabelled factor.</li>
 <li>Fix issue with <code>model_frame()</code> for <strong>coxph</strong>-models with polynomial or spline-terms.</li>
 <li>Fix issue with <code>mediation()</code> for logical variables.</li>
 </ul></div>
@@ -479,7 +479,7 @@ <h3 id="changes-to-functions-0-17-0">Changes to functions<a class="anchor" aria-
 <h3 id="bug-fixes-0-17-0">Bug fixes<a class="anchor" aria-label="anchor" href="#bug-fixes-0-17-0"></a></h3>
 <ul><li>Fix issues with effect size computation for repeated-measure Anova when using bootstrapping to compute confidence intervals.</li>
 <li>
-<code><a href="../reference/means_by_group.html">grpmean()</a></code> now also adjusts the <code>n</code>-columm for weighted data.</li>
+<code>grpmean()</code> now also adjusts the <code>n</code>-columm for weighted data.</li>
 <li>
 <code><a href="../reference/r2.html">icc()</a></code>, <code>re_var()</code> and <code>get_re_var()</code> now correctly compute the random-effect-variances for models with multiple random slopes per random effect term (e.g., <code>(1 + rs1 + rs2 | grp)</code>).</li>
 <li>Fix issues in <code>tidy_stan()</code>, <code>mcse()</code>, <code>hdi()</code> and <code>n_eff()</code> for <code>stan_polr()</code>-models.</li>
diff --git a/pkgdown.yml b/pkgdown.yml
index 53849d7..a177c69 100644
--- a/pkgdown.yml
+++ b/pkgdown.yml
@@ -1,6 +1,6 @@
 pandoc: 3.1.13
 pkgdown: 2.0.9.9000
-pkgdown_sha: 2db8f2e00e546e6a311b72c0219f3d2006c59892
+pkgdown_sha: 3e320c8270c181729b5246dcd1128842a8ac1ebc
 articles: {}
-last_built: 2024-05-08T19:18Z
+last_built: 2024-05-09T17:11Z
 
diff --git a/reference/chi_squared_test.html b/reference/chi_squared_test.html
new file mode 100644
index 0000000..1b3d230
--- /dev/null
+++ b/reference/chi_squared_test.html
@@ -0,0 +1,211 @@
+<!DOCTYPE html>
+<!-- Generated by pkgdown: do not edit by hand --><html lang="en"><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8"><meta charset="utf-8"><meta http-equiv="X-UA-Compatible" content="IE=edge"><meta name="viewport" content="width=device-width, initial-scale=1.0"><title>Chi-Squared test — chi_squared_test • sjstats</title><!-- favicons --><link rel="icon" type="image/png" sizes="16x16" href="../favicon-16x16.png"><link rel="icon" type="image/png" sizes="32x32" href="../favicon-32x32.png"><link rel="apple-touch-icon" type="image/png" sizes="180x180" href="../apple-touch-icon.png"><link rel="apple-touch-icon" type="image/png" sizes="120x120" href="../apple-touch-icon-120x120.png"><link rel="apple-touch-icon" type="image/png" sizes="76x76" href="../apple-touch-icon-76x76.png"><link rel="apple-touch-icon" type="image/png" sizes="60x60" href="../apple-touch-icon-60x60.png"><!-- jquery --><script src="https://cdnjs.cloudflare.com/ajax/libs/jquery/3.7.1/jquery.min.js" integrity="sha512-v2CJ7UaYy4JwqLDIrZUI/4hqeoQieOmAZNXBeQyjo21dadnwR+8ZaIJVT8EE2iyI61OV8e6M8PP2/4hpQINQ/g==" crossorigin="anonymous" referrerpolicy="no-referrer"></script><!-- Bootstrap --><link href="https://cdnjs.cloudflare.com/ajax/libs/bootswatch/3.4.0/flatly/bootstrap.min.css" rel="stylesheet" crossorigin="anonymous"><script src="https://cdnjs.cloudflare.com/ajax/libs/twitter-bootstrap/3.4.1/js/bootstrap.min.js" integrity="sha256-nuL8/2cJ5NDSSwnKD8VqreErSWHtnEP9E7AySL+1ev4=" crossorigin="anonymous"></script><!-- bootstrap-toc --><link rel="stylesheet" href="../bootstrap-toc.css"><script src="../bootstrap-toc.js"></script><!-- Font Awesome icons --><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.12.1/css/all.min.css" integrity="sha256-mmgLkCYLUQbXn0B1SRqzHar6dCnv9oZFPEC1g1cwlkk=" crossorigin="anonymous"><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.12.1/css/v4-shims.min.css" integrity="sha256-wZjR52fzng1pJHwx4aV2AO3yyTOXrcDW7jBpJtTwVxw=" crossorigin="anonymous"><!-- clipboard.js --><script src="https://cdnjs.cloudflare.com/ajax/libs/clipboard.js/2.0.6/clipboard.min.js" integrity="sha256-inc5kl9MA1hkeYUt+EC3BhlIgyp/2jDIyBLS6k3UxPI=" crossorigin="anonymous"></script><!-- headroom.js --><script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.11.0/headroom.min.js" integrity="sha256-AsUX4SJE1+yuDu5+mAVzJbuYNPHj/WroHuZ8Ir/CkE0=" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.11.0/jQuery.headroom.min.js" integrity="sha256-ZX/yNShbjqsohH1k95liqY9Gd8uOiE1S4vZc+9KQ1K4=" crossorigin="anonymous"></script><!-- pkgdown --><link href="../pkgdown.css" rel="stylesheet"><script src="../pkgdown.js"></script><meta property="og:title" content="Chi-Squared test — chi_squared_test"><meta property="og:description" content="This function performs a \(chi\)^2 test for contingency
+tables or tests for given probabilities. The returned effects sizes are
+Cramer's V for tables with more than two rows and columns, Phi (\(\phi\))
+for 2x2 tables, and פ (Fei) for tests against
+given probabilities (see Ben-Shachar et al. 2023)."><meta property="og:image" content="/logo.png"><!-- mathjax --><script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/MathJax.js" integrity="sha256-nvJJv9wWKEm88qvoQl9ekL2J+k/RWIsaSScxxlsrv8k=" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/config/TeX-AMS-MML_HTMLorMML.js" integrity="sha256-84DKXVJXs0/F8OTMzX4UR909+jtl4G7SPypPavF+GfA=" crossorigin="anonymous"></script><!--[if lt IE 9]>
+<script src="https://oss.maxcdn.com/html5shiv/3.7.3/html5shiv.min.js"></script>
+<script src="https://oss.maxcdn.com/respond/1.4.2/respond.min.js"></script>
+<![endif]--></head><body data-spy="scroll" data-target="#toc">
+    
+
+    <div class="container template-reference-topic">
+      <header><div class="navbar navbar-default navbar-fixed-top" role="navigation">
+  <div class="container">
+    <div class="navbar-header">
+      <button type="button" class="navbar-toggle collapsed" data-toggle="collapse" data-target="#navbar" aria-expanded="false">
+        <span class="sr-only">Toggle navigation</span>
+        <span class="icon-bar"></span>
+        <span class="icon-bar"></span>
+        <span class="icon-bar"></span>
+      </button>
+      <span class="navbar-brand">
+        <a class="navbar-link" href="../index.html">sjstats</a>
+        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="">0.18.2</span>
+      </span>
+    </div>
+
+    <div id="navbar" class="navbar-collapse collapse">
+      <ul class="nav navbar-nav"><li>
+  <a href="../index.html">
+    <span class="fa fa-home fa-lg"></span>
+     
+  </a>
+</li>
+<li>
+  <a href="../news/index.html">News</a>
+</li>
+<li>
+  <a href="../reference/index.html">Reference</a>
+</li>
+      </ul><ul class="nav navbar-nav navbar-right"><li>
+  <a href="https://github.com/strengejacke/sjstats/" class="external-link">
+    <span class="fab fa-github fa-lg"></span>
+     
+  </a>
+</li>
+      </ul></div><!--/.nav-collapse -->
+  </div><!--/.container -->
+</div><!--/.navbar -->
+
+      
+
+      </header><div class="row">
+  <div class="col-md-9 contents">
+    <div class="page-header">
+    <h1>Chi-Squared test</h1>
+    <small class="dont-index">Source: <a href="https://github.com/strengejacke/sjstats/blob/HEAD/R/chi_squared_test.R" class="external-link"><code>R/chi_squared_test.R</code></a></small>
+    <div class="hidden name"><code>chi_squared_test.Rd</code></div>
+    </div>
+
+    <div class="ref-description">
+    <p>This function performs a \(chi\)^2 test for contingency
+tables or tests for given probabilities. The returned effects sizes are
+Cramer's V for tables with more than two rows and columns, Phi (\(\phi\))
+for 2x2 tables, and פ (Fei) for tests against
+given probabilities (see <em>Ben-Shachar et al. 2023</em>).</p>
+    </div>
+
+    <div id="ref-usage">
+    <div class="sourceCode"><pre class="sourceCode r"><code><span><span class="fu">chi_squared_test</span><span class="op">(</span></span>
+<span>  <span class="va">data</span>,</span>
+<span>  select <span class="op">=</span> <span class="cn">NULL</span>,</span>
+<span>  by <span class="op">=</span> <span class="cn">NULL</span>,</span>
+<span>  probabilities <span class="op">=</span> <span class="cn">NULL</span>,</span>
+<span>  weights <span class="op">=</span> <span class="cn">NULL</span>,</span>
+<span>  paired <span class="op">=</span> <span class="cn">FALSE</span>,</span>
+<span>  <span class="va">...</span></span>
+<span><span class="op">)</span></span></code></pre></div>
+    </div>
+
+    <div id="arguments">
+    <h2>Arguments</h2>
+    <dl><dt id="arg-data">data<a class="anchor" aria-label="anchor" href="#arg-data"></a></dt>
+<dd><p>A data frame.</p></dd>
+
+
+<dt id="arg-select">select<a class="anchor" aria-label="anchor" href="#arg-select"></a></dt>
+<dd><p>Name of the dependent variable (as string) to be used for the
+test. <code>select</code> can also be a character vector, specifying the names of
+multiple continuous variables. In this case, <code>by</code> is ignored and variables
+specified in <code>select</code> are used to compute the test. This can be useful if
+the data is in wide-format and no grouping variable is available.</p></dd>
+
+
+<dt id="arg-by">by<a class="anchor" aria-label="anchor" href="#arg-by"></a></dt>
+<dd><p>Name of the grouping variable to be used for the test. If <code>by</code> is
+not a factor, it will be coerced to a factor. For <code>chi_squared_test()</code>, if
+<code>probabilities</code> is provided, <code>by</code> must be <code>NULL</code>.</p></dd>
+
+
+<dt id="arg-probabilities">probabilities<a class="anchor" aria-label="anchor" href="#arg-probabilities"></a></dt>
+<dd><p>A numeric vector of probabilities for each cell in the
+contingency table. The length of the vector must match the number of cells
+in the table, i.e. the number of unique levels of the variable specified
+in <code>select</code>. If <code>probabilities</code> is provided, a chi-squared test for given
+probabilities is conducted. Furthermore, if <code>probabilities</code> is given, <code>by</code>
+must be <code>NULL</code>. The probabilities must sum to 1.</p></dd>
+
+
+<dt id="arg-weights">weights<a class="anchor" aria-label="anchor" href="#arg-weights"></a></dt>
+<dd><p>Name of an (optional) weighting variable to be used for the test.</p></dd>
+
+
+<dt id="arg-paired">paired<a class="anchor" aria-label="anchor" href="#arg-paired"></a></dt>
+<dd><p>Logical, if <code>TRUE</code>, a McNemar test is conducted for 2x2 tables.
+Note that <code>paired</code> only works for 2x2 tables.</p></dd>
+
+
+<dt id="arg--">...<a class="anchor" aria-label="anchor" href="#arg--"></a></dt>
+<dd><p>Additional arguments passed down to <code><a href="https://rdrr.io/r/stats/chisq.test.html" class="external-link">chisq.test()</a></code>.</p></dd>
+
+</dl></div>
+    <div id="value">
+    <h2>Value</h2>
+    
+
+<p>A data frame with test results. The returned effects sizes are
+Cramer's V for tables with more than two rows and columns, Phi (\(\phi\))
+for 2x2 tables, and פ (Fei) for tests against
+given probabilities.</p>
+    </div>
+    <div id="details">
+    <h2>Details</h2>
+    <p>The function is a wrapper around <code><a href="https://rdrr.io/r/stats/chisq.test.html" class="external-link">chisq.test()</a></code> and
+<code><a href="https://rdrr.io/r/stats/fisher.test.html" class="external-link">fisher.test()</a></code> (for small expected values) for contingency tables, and
+<code><a href="https://rdrr.io/r/stats/chisq.test.html" class="external-link">chisq.test()</a></code> for given probabilities. When <code>probabilities</code> are provided,
+these are rescaled to sum to 1 (i.e. <code>rescale.p = TRUE</code>). When <code><a href="https://rdrr.io/r/stats/fisher.test.html" class="external-link">fisher.test()</a></code>
+is called, simulated p-values are returned (i.e. <code>simulate.p.value = TRUE</code>,
+see <code><a href="https://rdrr.io/r/stats/fisher.test.html" class="external-link">?fisher.test</a></code>). If <code>paired = TRUE</code> and a 2x2 table is provided,
+a McNemar test (see <code><a href="https://rdrr.io/r/stats/mcnemar.test.html" class="external-link">mcnemar.test()</a></code>) is conducted.</p>
+<p>The weighted version of the chi-squared test is based on the a weighted
+table, using <code><a href="https://rdrr.io/r/stats/xtabs.html" class="external-link">xtabs()</a></code> as input for <code><a href="https://rdrr.io/r/stats/chisq.test.html" class="external-link">chisq.test()</a></code>.</p>
+    </div>
+    <div id="references">
+    <h2>References</h2>
+    <p>Ben-Shachar, M.S., Patil, I., Thériault, R., Wiernik, B.M.,
+Lüdecke, D. (2023). Phi, Fei, Fo, Fum: Effect Sizes for Categorical Data
+That Use the Chi‑Squared Statistic. Mathematics, 11, 1982.
+<a href="https://doi.org/10.3390/math11091982" class="external-link">doi:10.3390/math11091982</a></p>
+    </div>
+
+    <div id="ref-examples">
+    <h2>Examples</h2>
+    <div class="sourceCode"><pre class="sourceCode r"><code><span class="r-in"><span><span class="fu"><a href="https://rdrr.io/r/utils/data.html" class="external-link">data</a></span><span class="op">(</span><span class="va">efc</span><span class="op">)</span></span></span>
+<span class="r-in"><span><span class="va">efc</span><span class="op">$</span><span class="va">weight</span> <span class="op">&lt;-</span> <span class="fu"><a href="https://rdrr.io/r/base/MathFun.html" class="external-link">abs</a></span><span class="op">(</span><span class="fu"><a href="https://rdrr.io/r/stats/Normal.html" class="external-link">rnorm</a></span><span class="op">(</span><span class="fu"><a href="https://rdrr.io/r/base/nrow.html" class="external-link">nrow</a></span><span class="op">(</span><span class="va">efc</span><span class="op">)</span>, <span class="fl">1</span>, <span class="fl">0.3</span><span class="op">)</span><span class="op">)</span></span></span>
+<span class="r-in"><span></span></span>
+<span class="r-in"><span><span class="co"># Chi-squared test</span></span></span>
+<span class="r-in"><span><span class="fu">chi_squared_test</span><span class="op">(</span><span class="va">efc</span>, <span class="st">"c161sex"</span>, by <span class="op">=</span> <span class="st">"e16sex"</span><span class="op">)</span></span></span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> <span style="color: #0000BB;"># Chi-squared test for contingency tables</span></span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> <span style="color: #00BBBB;">  Data: c161sex by e16sex (n = 900)</span></span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
+<span class="r-out co"><span class="r-pr">#&gt;</span>   χ² = 2.2327, ϕ = 0.0526, df = 1, p = 0.135</span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
+<span class="r-in"><span></span></span>
+<span class="r-in"><span><span class="co"># weighted Chi-squared test</span></span></span>
+<span class="r-in"><span><span class="fu">chi_squared_test</span><span class="op">(</span><span class="va">efc</span>, <span class="st">"c161sex"</span>, by <span class="op">=</span> <span class="st">"e16sex"</span>, weights <span class="op">=</span> <span class="st">"weight"</span><span class="op">)</span></span></span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> <span style="color: #0000BB;"># Chi-squared test for contingency tables (weighted)</span></span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> <span style="color: #00BBBB;">  Data: c161sex by e16sex (n = 926)</span></span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
+<span class="r-out co"><span class="r-pr">#&gt;</span>   χ² = 2.7855, ϕ = 0.0576, df = 1, p = 0.095</span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
+<span class="r-in"><span></span></span>
+<span class="r-in"><span><span class="co"># Chi-squared test for given probabilities</span></span></span>
+<span class="r-in"><span><span class="fu">chi_squared_test</span><span class="op">(</span><span class="va">efc</span>, <span class="st">"c161sex"</span>, probabilities <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="fl">0.3</span>, <span class="fl">0.7</span><span class="op">)</span><span class="op">)</span></span></span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> <span style="color: #0000BB;"># Chi-squared test for given probabilities</span></span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> <span style="color: #00BBBB;">  Data: c161sex against probabilities 30% and 70% (n = 901)</span></span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
+<span class="r-out co"><span class="r-pr">#&gt;</span>   χ² = 16.1624, פ‎ = 0.0877, df = 1, p &lt; .001</span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
+</code></pre></div>
+    </div>
+  </div>
+  <div class="col-md-3 hidden-xs hidden-sm" id="pkgdown-sidebar">
+    <nav id="toc" data-toggle="toc" class="sticky-top"><h2 data-toc-skip>Contents</h2>
+    </nav></div>
+</div>
+
+
+      <footer><div class="copyright">
+  <p></p><p>Developed by <a href="https://github.com/strengejacke" class="external-link">Daniel Lüdecke</a>.</p>
+</div>
+
+<div class="pkgdown">
+  <p></p><p>Site built with <a href="https://pkgdown.r-lib.org/" class="external-link">pkgdown</a> 2.0.9.9000.</p>
+</div>
+
+      </footer></div>
+
+  
+
+
+  
+
+  </body></html>
+
diff --git a/reference/crosstable_statistics.html b/reference/crosstable_statistics.html
index aa2cdd9..691eb31 100644
--- a/reference/crosstable_statistics.html
+++ b/reference/crosstable_statistics.html
@@ -1,5 +1,5 @@
 <!DOCTYPE html>
-<!-- Generated by pkgdown: do not edit by hand --><html lang="en"><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8"><meta charset="utf-8"><meta http-equiv="X-UA-Compatible" content="IE=edge"><meta name="viewport" content="width=device-width, initial-scale=1.0"><title>Measures of association for contingency tables — cramer • sjstats</title><!-- favicons --><link rel="icon" type="image/png" sizes="16x16" href="../favicon-16x16.png"><link rel="icon" type="image/png" sizes="32x32" href="../favicon-32x32.png"><link rel="apple-touch-icon" type="image/png" sizes="180x180" href="../apple-touch-icon.png"><link rel="apple-touch-icon" type="image/png" sizes="120x120" href="../apple-touch-icon-120x120.png"><link rel="apple-touch-icon" type="image/png" sizes="76x76" href="../apple-touch-icon-76x76.png"><link rel="apple-touch-icon" type="image/png" sizes="60x60" href="../apple-touch-icon-60x60.png"><!-- jquery --><script src="https://cdnjs.cloudflare.com/ajax/libs/jquery/3.7.1/jquery.min.js" integrity="sha512-v2CJ7UaYy4JwqLDIrZUI/4hqeoQieOmAZNXBeQyjo21dadnwR+8ZaIJVT8EE2iyI61OV8e6M8PP2/4hpQINQ/g==" crossorigin="anonymous" referrerpolicy="no-referrer"></script><!-- Bootstrap --><link href="https://cdnjs.cloudflare.com/ajax/libs/bootswatch/3.4.0/flatly/bootstrap.min.css" rel="stylesheet" crossorigin="anonymous"><script src="https://cdnjs.cloudflare.com/ajax/libs/twitter-bootstrap/3.4.1/js/bootstrap.min.js" integrity="sha256-nuL8/2cJ5NDSSwnKD8VqreErSWHtnEP9E7AySL+1ev4=" crossorigin="anonymous"></script><!-- bootstrap-toc --><link rel="stylesheet" href="../bootstrap-toc.css"><script src="../bootstrap-toc.js"></script><!-- Font Awesome icons --><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.12.1/css/all.min.css" integrity="sha256-mmgLkCYLUQbXn0B1SRqzHar6dCnv9oZFPEC1g1cwlkk=" crossorigin="anonymous"><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.12.1/css/v4-shims.min.css" integrity="sha256-wZjR52fzng1pJHwx4aV2AO3yyTOXrcDW7jBpJtTwVxw=" crossorigin="anonymous"><!-- clipboard.js --><script src="https://cdnjs.cloudflare.com/ajax/libs/clipboard.js/2.0.6/clipboard.min.js" integrity="sha256-inc5kl9MA1hkeYUt+EC3BhlIgyp/2jDIyBLS6k3UxPI=" crossorigin="anonymous"></script><!-- headroom.js --><script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.11.0/headroom.min.js" integrity="sha256-AsUX4SJE1+yuDu5+mAVzJbuYNPHj/WroHuZ8Ir/CkE0=" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.11.0/jQuery.headroom.min.js" integrity="sha256-ZX/yNShbjqsohH1k95liqY9Gd8uOiE1S4vZc+9KQ1K4=" crossorigin="anonymous"></script><!-- pkgdown --><link href="../pkgdown.css" rel="stylesheet"><script src="../pkgdown.js"></script><meta property="og:title" content="Measures of association for contingency tables — cramer"><meta property="og:description" content="This function calculates various measure of association for
+<!-- Generated by pkgdown: do not edit by hand --><html lang="en"><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8"><meta charset="utf-8"><meta http-equiv="X-UA-Compatible" content="IE=edge"><meta name="viewport" content="width=device-width, initial-scale=1.0"><title>Measures of association for contingency tables — cramers_v • sjstats</title><!-- favicons --><link rel="icon" type="image/png" sizes="16x16" href="../favicon-16x16.png"><link rel="icon" type="image/png" sizes="32x32" href="../favicon-32x32.png"><link rel="apple-touch-icon" type="image/png" sizes="180x180" href="../apple-touch-icon.png"><link rel="apple-touch-icon" type="image/png" sizes="120x120" href="../apple-touch-icon-120x120.png"><link rel="apple-touch-icon" type="image/png" sizes="76x76" href="../apple-touch-icon-76x76.png"><link rel="apple-touch-icon" type="image/png" sizes="60x60" href="../apple-touch-icon-60x60.png"><!-- jquery --><script src="https://cdnjs.cloudflare.com/ajax/libs/jquery/3.7.1/jquery.min.js" integrity="sha512-v2CJ7UaYy4JwqLDIrZUI/4hqeoQieOmAZNXBeQyjo21dadnwR+8ZaIJVT8EE2iyI61OV8e6M8PP2/4hpQINQ/g==" crossorigin="anonymous" referrerpolicy="no-referrer"></script><!-- Bootstrap --><link href="https://cdnjs.cloudflare.com/ajax/libs/bootswatch/3.4.0/flatly/bootstrap.min.css" rel="stylesheet" crossorigin="anonymous"><script src="https://cdnjs.cloudflare.com/ajax/libs/twitter-bootstrap/3.4.1/js/bootstrap.min.js" integrity="sha256-nuL8/2cJ5NDSSwnKD8VqreErSWHtnEP9E7AySL+1ev4=" crossorigin="anonymous"></script><!-- bootstrap-toc --><link rel="stylesheet" href="../bootstrap-toc.css"><script src="../bootstrap-toc.js"></script><!-- Font Awesome icons --><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.12.1/css/all.min.css" integrity="sha256-mmgLkCYLUQbXn0B1SRqzHar6dCnv9oZFPEC1g1cwlkk=" crossorigin="anonymous"><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.12.1/css/v4-shims.min.css" integrity="sha256-wZjR52fzng1pJHwx4aV2AO3yyTOXrcDW7jBpJtTwVxw=" crossorigin="anonymous"><!-- clipboard.js --><script src="https://cdnjs.cloudflare.com/ajax/libs/clipboard.js/2.0.6/clipboard.min.js" integrity="sha256-inc5kl9MA1hkeYUt+EC3BhlIgyp/2jDIyBLS6k3UxPI=" crossorigin="anonymous"></script><!-- headroom.js --><script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.11.0/headroom.min.js" integrity="sha256-AsUX4SJE1+yuDu5+mAVzJbuYNPHj/WroHuZ8Ir/CkE0=" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.11.0/jQuery.headroom.min.js" integrity="sha256-ZX/yNShbjqsohH1k95liqY9Gd8uOiE1S4vZc+9KQ1K4=" crossorigin="anonymous"></script><!-- pkgdown --><link href="../pkgdown.css" rel="stylesheet"><script src="../pkgdown.js"></script><meta property="og:title" content="Measures of association for contingency tables — cramers_v"><meta property="og:description" content="This function calculates various measure of association for
 contingency tables and returns the statistic and p-value.
 Supported measures are Cramer's V, Phi, Spearman's rho,
 Kendall's tau and Pearson's r."><meta property="og:image" content="/logo.png"><!-- mathjax --><script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/MathJax.js" integrity="sha256-nvJJv9wWKEm88qvoQl9ekL2J+k/RWIsaSScxxlsrv8k=" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/config/TeX-AMS-MML_HTMLorMML.js" integrity="sha256-84DKXVJXs0/F8OTMzX4UR909+jtl4G7SPypPavF+GfA=" crossorigin="anonymous"></script><!--[if lt IE 9]>
@@ -65,10 +65,12 @@ <h1>Measures of association for contingency tables</h1>
     </div>
 
     <div id="ref-usage">
-    <div class="sourceCode"><pre class="sourceCode r"><code><span><span class="fu">cramer</span><span class="op">(</span><span class="va">tab</span>, <span class="va">...</span><span class="op">)</span></span>
+    <div class="sourceCode"><pre class="sourceCode r"><code><span><span class="fu">cramers_v</span><span class="op">(</span><span class="va">tab</span>, <span class="va">...</span><span class="op">)</span></span>
+<span></span>
+<span><span class="fu">cramer</span><span class="op">(</span><span class="va">tab</span>, <span class="va">...</span><span class="op">)</span></span>
 <span></span>
 <span><span class="co"># S3 method for class 'formula'</span></span>
-<span><span class="fu">cramer</span><span class="op">(</span></span>
+<span><span class="fu">cramers_v</span><span class="op">(</span></span>
 <span>  <span class="va">formula</span>,</span>
 <span>  <span class="va">data</span>,</span>
 <span>  ci.lvl <span class="op">=</span> <span class="cn">NULL</span>,</span>
@@ -101,15 +103,13 @@ <h1>Measures of association for contingency tables</h1>
     <div id="arguments">
     <h2>Arguments</h2>
     <dl><dt id="arg-tab">tab<a class="anchor" aria-label="anchor" href="#arg-tab"></a></dt>
-<dd><p>A <code><a href="https://rdrr.io/r/base/table.html" class="external-link">table</a></code> or <code><a href="https://rdrr.io/r/stats/ftable.html" class="external-link">ftable</a></code>. Tables of class
-<code><a href="https://rdrr.io/r/stats/xtabs.html" class="external-link">xtabs</a></code> and other will be coerced to <code>ftable</code>
-objects.</p></dd>
+<dd><p>A <code><a href="https://rdrr.io/r/base/table.html" class="external-link">table()</a></code> or <code><a href="https://rdrr.io/r/stats/ftable.html" class="external-link">ftable()</a></code>. Tables of class <code><a href="https://rdrr.io/r/stats/xtabs.html" class="external-link">xtabs()</a></code> and
+other will be coerced to <code>ftable</code> objects.</p></dd>
 
 
 <dt id="arg--">...<a class="anchor" aria-label="anchor" href="#arg--"></a></dt>
 <dd><p>Other arguments, passed down to the statistic functions
-<code><a href="https://rdrr.io/r/stats/chisq.test.html" class="external-link">chisq.test</a></code>, <code><a href="https://rdrr.io/r/stats/fisher.test.html" class="external-link">fisher.test</a></code> or
-<code><a href="https://rdrr.io/r/stats/cor.test.html" class="external-link">cor.test</a></code>.</p></dd>
+<code><a href="https://rdrr.io/r/stats/chisq.test.html" class="external-link">chisq.test()</a></code>, <code><a href="https://rdrr.io/r/stats/fisher.test.html" class="external-link">fisher.test()</a></code> or <code><a href="https://rdrr.io/r/stats/cor.test.html" class="external-link">cor.test()</a></code>.</p></dd>
 
 
 <dt id="arg-formula">formula<a class="anchor" aria-label="anchor" href="#arg-formula"></a></dt>
@@ -120,11 +120,10 @@ <h2>Arguments</h2>
 
 <dt id="arg-data">data<a class="anchor" aria-label="anchor" href="#arg-data"></a></dt>
 <dd><p>A data frame or a table object. If a table object, <code>x1</code> and
-<code>x2</code> will be ignored. For Kendall's <em>tau</em>, Spearman's <em>rho</em>
-or Pearson's product moment correlation coefficient, <code>data</code> needs
-to be a data frame. If <code>x1</code> and <code>x2</code> are not specified,
-the first two columns of the data frames are used as variables
-to compute the crosstab.</p></dd>
+<code>x2</code> will be ignored. For Kendall's <em>tau</em>, Spearman's <em>rho</em> or Pearson's
+product moment correlation coefficient, <code>data</code> needs to be a data frame.
+If <code>x1</code> and <code>x2</code> are not specified, the first two columns of the data
+frames are used as variables to compute the crosstab.</p></dd>
 
 
 <dt id="arg-ci-lvl">ci.lvl<a class="anchor" aria-label="anchor" href="#arg-ci-lvl"></a></dt>
@@ -146,87 +145,67 @@ <h2>Arguments</h2>
 
 <dt id="arg-x-">x1<a class="anchor" aria-label="anchor" href="#arg-x-"></a></dt>
 <dd><p>Name of first variable that should be used to compute the
-contingency table. If <code>data</code> is a table object, this argument
-will be irgnored.</p></dd>
+contingency table. If <code>data</code> is a table object, this argument will be
+irgnored.</p></dd>
 
 
 <dt id="arg-x-">x2<a class="anchor" aria-label="anchor" href="#arg-x-"></a></dt>
 <dd><p>Name of second variable that should be used to compute the
-contingency table. If <code>data</code> is a table object, this argument
-will be irgnored.</p></dd>
+contingency table. If <code>data</code> is a table object, this argument will be
+irgnored.</p></dd>
 
 
 <dt id="arg-statistics">statistics<a class="anchor" aria-label="anchor" href="#arg-statistics"></a></dt>
 <dd><p>Name of measure of association that should be computed. May
-be one of <code>"auto"</code>, <code>"cramer"</code>, <code>"phi"</code>, <code>"spearman"</code>,
-<code>"kendall"</code>, <code>"pearson"</code> or <code>"fisher"</code>. See 'Details'.</p></dd>
+be one of <code>"auto"</code>, <code>"cramer"</code>, <code>"phi"</code>, <code>"spearman"</code>, <code>"kendall"</code>,
+<code>"pearson"</code> or <code>"fisher"</code>. See 'Details'.</p></dd>
 
 
 <dt id="arg-weights">weights<a class="anchor" aria-label="anchor" href="#arg-weights"></a></dt>
-<dd><p>Name of variable in <code>x</code> that indicated the vector of
-weights that will be applied to weight all observations. Default is
-<code>NULL</code>, so no weights are used.</p></dd>
+<dd><p>Name of variable in <code>x</code> that indicated the vector of weights
+that will be applied to weight all observations. Default is <code>NULL</code>, so no
+weights are used.</p></dd>
 
 </dl></div>
     <div id="value">
     <h2>Value</h2>
     
 
-<p>For <code>phi()</code>, the table's Phi value. For <code>cramer()</code>, the
-table's Cramer's V.
-<br></p>
-<p></p>
-<p><br></p>
-
-
-<p>For <code>crosstable_statistics()</code>, a list with following components:</p><dl><dt><code>estimate</code></dt>
-<dd><p>the value of the estimated measure of association.</p></dd>
-
-<dt><code>p.value</code></dt>
-<dd><p>the p-value for the test.</p></dd>
-
-<dt><code>statistic</code></dt>
-<dd><p>the value of the test statistic.</p></dd>
-
-<dt><code>stat.name</code></dt>
-<dd><p>the name of the test statistic.</p></dd>
-
-<dt><code>stat.html</code></dt>
-<dd><p>if applicable, the name of the test statistic, in HTML-format.</p></dd>
-
-<dt><code>df</code></dt>
-<dd><p>the degrees of freedom for the contingency table.</p></dd>
-
-<dt><code>method</code></dt>
-<dd><p>character string indicating the name of the measure of association.</p></dd>
-
-<dt><code>method.html</code></dt>
-<dd><p>if applicable, the name of the measure of association, in HTML-format.</p></dd>
-
-<dt><code>method.short</code></dt>
-<dd><p>the short form of association measure, equals the <code>statistics</code>-argument.</p></dd>
-
-<dt><code>fisher</code></dt>
-<dd><p>logical, if Fisher's exact test was used to calculate the p-value.</p></dd>
-
-
-</dl></div>
+<p>For <code>phi()</code>, the table's Phi value. For [<code>cramers_v()]</code>, the
+table's Cramer's V.</p>
+
+
+<p>For <code>crosstable_statistics()</code>, a list with following components:</p><ul><li><p><code>estimate</code>: the value of the estimated measure of association.</p></li>
+<li><p><code>p.value</code>: the p-value for the test.</p></li>
+<li><p><code>statistic</code>: the value of the test statistic.</p></li>
+<li><p><code>stat.name</code>: the name of the test statistic.</p></li>
+<li><p><code>stat.html</code>: if applicable, the name of the test statistic, in HTML-format.</p></li>
+<li><p><code>df</code>: the degrees of freedom for the contingency table.</p></li>
+<li><p><code>method</code>: character string indicating the name of the measure of association.</p></li>
+<li><p><code>method.html</code>: if applicable, the name of the measure of association, in HTML-format.</p></li>
+<li><p><code>method.short</code>: the short form of association measure, equals the <code>statistics</code>-argument.</p></li>
+<li><p><code>fisher</code>: logical, if Fisher's exact test was used to calculate the p-value.</p></li>
+</ul></div>
     <div id="details">
     <h2>Details</h2>
     <p>The p-value for Cramer's V and the Phi coefficient are based
-on <code><a href="https://rdrr.io/r/stats/chisq.test.html" class="external-link">chisq.test()</a></code>. If any expected value of a table cell is
-smaller than 5, or smaller than 10 and the df is 1, then <code><a href="https://rdrr.io/r/stats/fisher.test.html" class="external-link">fisher.test()</a></code>
-is used to compute the p-value, unless <code>statistics = "fisher"</code>; in
-this case, the use of <code><a href="https://rdrr.io/r/stats/fisher.test.html" class="external-link">fisher.test()</a></code> is forced to compute the
-p-value. The test statistic is calculated with <code>cramer()</code> resp.
-<code>phi()</code>.
-<br><br>
-Both test statistic and p-value for Spearman's rho, Kendall's tau
-and Pearson's r are calculated with <code><a href="https://rdrr.io/r/stats/cor.test.html" class="external-link">cor.test()</a></code>.
-<br><br>
-When <code>statistics = "auto"</code>, only Cramer's V or Phi are calculated,
-based on the dimension of the table (i.e. if the table has more than
-two rows or columns, Cramer's V is calculated, else Phi).</p>
+on <code><a href="https://rdrr.io/r/stats/chisq.test.html" class="external-link">chisq.test()</a></code>. If any expected value of a table cell is smaller than 5,
+or smaller than 10 and the df is 1, then <code><a href="https://rdrr.io/r/stats/fisher.test.html" class="external-link">fisher.test()</a></code> is used to compute
+the p-value, unless <code>statistics = "fisher"</code>; in this case, the use of
+<code><a href="https://rdrr.io/r/stats/fisher.test.html" class="external-link">fisher.test()</a></code> is forced to compute the p-value. The test statistic is
+calculated with <code>cramers_v()</code> resp. <code>phi()</code>.</p>
+<p>Both test statistic and p-value for Spearman's rho, Kendall's tau and
+Pearson's r are calculated with <code><a href="https://rdrr.io/r/stats/cor.test.html" class="external-link">cor.test()</a></code>.</p>
+<p>When <code>statistics = "auto"</code>, only Cramer's V or Phi are calculated, based on
+the dimension of the table (i.e. if the table has more than two rows or
+columns, Cramer's V is calculated, else Phi).</p>
+    </div>
+    <div id="references">
+    <h2>References</h2>
+    <p>Ben-Shachar, M.S., Patil, I., Thériault, R., Wiernik, B.M.,
+Lüdecke, D. (2023). Phi, Fei, Fo, Fum: Effect Sizes for Categorical Data
+That Use the Chi‑Squared Statistic. Mathematics, 11, 1982.
+<a href="https://doi.org/10.3390/math11091982" class="external-link">doi:10.3390/math11091982</a></p>
     </div>
 
     <div id="ref-examples">
@@ -234,12 +213,12 @@ <h2>Examples</h2>
     <div class="sourceCode"><pre class="sourceCode r"><code><span class="r-in"><span><span class="co"># Phi coefficient for 2x2 tables</span></span></span>
 <span class="r-in"><span><span class="va">tab</span> <span class="op">&lt;-</span> <span class="fu"><a href="https://rdrr.io/r/base/table.html" class="external-link">table</a></span><span class="op">(</span><span class="fu"><a href="https://rdrr.io/r/base/sample.html" class="external-link">sample</a></span><span class="op">(</span><span class="fl">1</span><span class="op">:</span><span class="fl">2</span>, <span class="fl">30</span>, <span class="cn">TRUE</span><span class="op">)</span>, <span class="fu"><a href="https://rdrr.io/r/base/sample.html" class="external-link">sample</a></span><span class="op">(</span><span class="fl">1</span><span class="op">:</span><span class="fl">2</span>, <span class="fl">30</span>, <span class="cn">TRUE</span><span class="op">)</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu">phi</span><span class="op">(</span><span class="va">tab</span><span class="op">)</span></span></span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> [1] 0.225913</span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> [1] 0.08471737</span>
 <span class="r-in"><span></span></span>
 <span class="r-in"><span><span class="co"># Cramer's V for nominal variables with more than 2 categories</span></span></span>
 <span class="r-in"><span><span class="va">tab</span> <span class="op">&lt;-</span> <span class="fu"><a href="https://rdrr.io/r/base/table.html" class="external-link">table</a></span><span class="op">(</span><span class="fu"><a href="https://rdrr.io/r/base/sample.html" class="external-link">sample</a></span><span class="op">(</span><span class="fl">1</span><span class="op">:</span><span class="fl">2</span>, <span class="fl">30</span>, <span class="cn">TRUE</span><span class="op">)</span>, <span class="fu"><a href="https://rdrr.io/r/base/sample.html" class="external-link">sample</a></span><span class="op">(</span><span class="fl">1</span><span class="op">:</span><span class="fl">3</span>, <span class="fl">30</span>, <span class="cn">TRUE</span><span class="op">)</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu">cramer</span><span class="op">(</span><span class="va">tab</span><span class="op">)</span></span></span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> [1] 0.3586835</span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> [1] 0.647009</span>
 <span class="r-in"><span></span></span>
 <span class="r-in"><span><span class="co"># formula notation</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="https://rdrr.io/r/utils/data.html" class="external-link">data</a></span><span class="op">(</span><span class="va">efc</span><span class="op">)</span></span></span>
@@ -249,7 +228,7 @@ <h2>Examples</h2>
 <span class="r-in"><span><span class="co"># bootstrapped confidence intervals</span></span></span>
 <span class="r-in"><span><span class="fu">cramer</span><span class="op">(</span><span class="va">e16sex</span> <span class="op">~</span> <span class="va">c161sex</span>, data <span class="op">=</span> <span class="va">efc</span>, ci.lvl <span class="op">=</span> <span class="fl">.95</span>, n <span class="op">=</span> <span class="fl">100</span><span class="op">)</span></span></span>
 <span class="r-out co"><span class="r-pr">#&gt;</span>       cramer     conf.low conf.high</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> 1 0.05258249 -0.005355066 0.1151372</span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> 1 0.05258249 -0.007956943  0.113086</span>
 <span class="r-in"><span></span></span>
 <span class="r-in"><span><span class="co"># 2x2 table, compute Phi automatically</span></span></span>
 <span class="r-in"><span><span class="fu">crosstable_statistics</span><span class="op">(</span><span class="va">efc</span>, <span class="va">e16sex</span>, <span class="va">c161sex</span><span class="op">)</span></span></span>
diff --git a/reference/cv_error.html b/reference/cv_error.html
index 52d3ee5..9bd55d9 100644
--- a/reference/cv_error.html
+++ b/reference/cv_error.html
@@ -112,7 +112,7 @@ <h2>Examples</h2>
 <span class="r-wrn co"><span class="r-pr">#&gt;</span> <span class="warning">Warning: </span>`unnest()` has a new interface. See `?unnest` for details.</span>
 <span class="r-wrn co"><span class="r-pr">#&gt;</span> <span style="color: #00BBBB;">ℹ</span> Try `df %&gt;% unnest(c(predicted, residuals))`, with `mutate()` if needed.</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span>                          model train.error test.error</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> 1 neg_c_7 ~ barthtot + c161sex      3.5067      3.518</span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> 1 neg_c_7 ~ barthtot + c161sex      3.5067     3.5238</span>
 <span class="r-in"><span></span></span>
 <span class="r-in"><span><span class="fu">cv_compare</span><span class="op">(</span><span class="va">efc</span>, formulas <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span></span></span>
 <span class="r-in"><span>  <span class="va">neg_c_7</span> <span class="op">~</span> <span class="va">barthtot</span> <span class="op">+</span> <span class="va">c161sex</span>,</span></span>
@@ -126,9 +126,9 @@ <h2>Examples</h2>
 <span class="r-wrn co"><span class="r-pr">#&gt;</span> <span class="warning">Warning: </span>`unnest()` has a new interface. See `?unnest` for details.</span>
 <span class="r-wrn co"><span class="r-pr">#&gt;</span> <span style="color: #00BBBB;">ℹ</span> Try `df %&gt;% unnest(c(predicted, residuals))`, with `mutate()` if needed.</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span>                                   model train.error test.error</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> 1          neg_c_7 ~ barthtot + c161sex      3.5066     3.5245</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> 2 neg_c_7 ~ barthtot + c161sex + e42dep      3.4875     3.4966</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> 3          neg_c_7 ~ barthtot + c12hour      3.5030     3.5227</span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> 1          neg_c_7 ~ barthtot + c161sex      3.5053     3.5266</span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> 2 neg_c_7 ~ barthtot + c161sex + e42dep      3.4873     3.4989</span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> 3          neg_c_7 ~ barthtot + c12hour      3.5041     3.5118</span>
 <span class="r-in"><span></span></span>
 </code></pre></div>
     </div>
diff --git a/reference/find_beta.html b/reference/find_beta.html
index dd6bef9..7a05e9d 100644
--- a/reference/find_beta.html
+++ b/reference/find_beta.html
@@ -130,21 +130,19 @@ <h2>Value</h2>
     <div id="details">
     <h2>Details</h2>
     <p>These functions can be used to find parameter for various distributions,
-to define prior probabilities for Bayesian analyses. <code>x1</code>,
-<code>p1</code>, <code>x2</code> and <code>p2</code> are parameters that describe two
-quantiles. Given this knowledge, the distribution parameters are
-returned. <br><br>
-Use <code>find_beta2()</code>, if the known parameters are, e.g. a prevalence
-rate or similar probability, and its standard deviation or confidence
-interval. In this case. <code>x</code> should be a probability,
-for example a prevalence rate of a certain event. <code>se</code> then
-needs to be the standard error for this probability. Alternatively,
-<code>ci</code> can be specified, which should indicate the upper limit
-of the confidence interval od the probability (prevalence rate) <code>x</code>.
-If the number of events out of a total number of trials is known
-(e.g. 12 heads out of 30 coin tosses), <code>x</code> can also be the number
-of observed events, while <code>n</code> indicates the total amount of trials
-(in the above example, the function call would be: <code>find_beta2(x = 12, n = 30)</code>).</p>
+to define prior probabilities for Bayesian analyses. <code>x1</code>, <code>p1</code>, <code>x2</code> and
+<code>p2</code> are parameters that describe two quantiles. Given this knowledge, the
+distribution parameters are returned.</p>
+<p>Use <code>find_beta2()</code>, if the known parameters are, e.g. a prevalence rate or
+similar probability, and its standard deviation or confidence interval. In
+this case. <code>x</code> should be a probability, for example a prevalence rate of a
+certain event. <code>se</code> then needs to be the standard error for this probability.
+Alternatively, <code>ci</code> can be specified, which should indicate the upper limit
+of the confidence interval od the probability (prevalence rate) <code>x</code>. If the
+number of events out of a total number of trials is known (e.g. 12 heads out
+of 30 coin tosses), <code>x</code> can also be the number of observed events, while <code>n</code>
+indicates the total amount of trials (in the above example, the function
+call would be: <code>find_beta2(x = 12, n = 30)</code>).</p>
     </div>
     <div id="references">
     <h2>References</h2>
diff --git a/reference/index.html b/reference/index.html
index 75aac1e..94bbbc3 100644
--- a/reference/index.html
+++ b/reference/index.html
@@ -81,7 +81,7 @@ <h2 id="statistics-for-crosstables">Statistics for Crosstables <a href="#statist
           <p class="section-desc"></p>
         </th>
       </tr></tbody><tbody><tr><td>
-          <p><code><a href="crosstable_statistics.html">cramer()</a></code> <code><a href="crosstable_statistics.html">phi()</a></code> <code><a href="crosstable_statistics.html">crosstable_statistics()</a></code> <code><a href="crosstable_statistics.html">xtab_statistics()</a></code> </p>
+          <p><code><a href="crosstable_statistics.html">cramers_v()</a></code> <code><a href="crosstable_statistics.html">cramer()</a></code> <code><a href="crosstable_statistics.html">phi()</a></code> <code><a href="crosstable_statistics.html">crosstable_statistics()</a></code> <code><a href="crosstable_statistics.html">xtab_statistics()</a></code> </p>
         </td>
         <td><p>Measures of association for contingency tables</p></td>
       </tr><tr><td>
@@ -89,7 +89,7 @@ <h2 id="statistics-for-crosstables">Statistics for Crosstables <a href="#statist
         </td>
         <td><p>Expected and relative table values</p></td>
       </tr></tbody><tbody><tr><th colspan="2">
-          <h2 id="weighted-statistics">Weighted Statistics <a href="#weighted-statistics" class="anchor" aria-hidden="true"></a></h2>
+          <h2 id="weighted-estimates-and-dispersion">Weighted Estimates and Dispersion <a href="#weighted-estimates-and-dispersion" class="anchor" aria-hidden="true"></a></h2>
           <p class="section-desc"></p>
         </th>
       </tr></tbody><tbody><tr><td>
@@ -97,11 +97,11 @@ <h2 id="weighted-statistics">Weighted Statistics <a href="#weighted-statistics"
         </td>
         <td><p>Weight a variable</p></td>
       </tr><tr><td>
-          <p><code><a href="weighted_sd.html">survey_median()</a></code> <code><a href="weighted_sd.html">weighted_chisqtest()</a></code> <code><a href="weighted_sd.html">weighted_correlation()</a></code> <code><a href="weighted_sd.html">weighted_mean()</a></code> <code><a href="weighted_sd.html">weighted_median()</a></code> <code><a href="weighted_sd.html">weighted_mannwhitney()</a></code> <code><a href="weighted_sd.html">weighted_ranktest()</a></code> <code><a href="weighted_sd.html">weighted_sd()</a></code> <code><a href="weighted_sd.html">wtd_sd()</a></code> <code><a href="weighted_sd.html">weighted_se()</a></code> <code><a href="weighted_sd.html">weighted_ttest()</a></code> </p>
+          <p><code><a href="weighted_sd.html">survey_median()</a></code> <code><a href="weighted_sd.html">weighted_correlation()</a></code> <code><a href="weighted_sd.html">weighted_mean()</a></code> <code><a href="weighted_sd.html">weighted_median()</a></code> <code><a href="weighted_sd.html">weighted_mannwhitney()</a></code> <code><a href="weighted_sd.html">weighted_ranktest()</a></code> <code><a href="weighted_sd.html">weighted_sd()</a></code> <code><a href="weighted_sd.html">wtd_sd()</a></code> <code><a href="weighted_sd.html">weighted_se()</a></code> <code><a href="weighted_sd.html">weighted_ttest()</a></code> </p>
         </td>
         <td><p>Weighted statistics for tests and variables</p></td>
       </tr></tbody><tbody><tr><th colspan="2">
-          <h2 id="other-summary-statistics">Other (Summary) Statistics <a href="#other-summary-statistics" class="anchor" aria-hidden="true"></a></h2>
+          <h2 id="summary-statistics-and-tests">Summary Statistics and Tests <a href="#summary-statistics-and-tests" class="anchor" aria-hidden="true"></a></h2>
           <p class="section-desc"></p>
         </th>
       </tr></tbody><tbody><tr><td>
@@ -109,17 +109,17 @@ <h2 id="other-summary-statistics">Other (Summary) Statistics <a href="#other-sum
         </td>
         <td><p>Gini's Mean Difference</p></td>
       </tr><tr><td>
-          <p><code><a href="mwu.html">mwu()</a></code> <code><a href="mwu.html">mannwhitney()</a></code> </p>
+          <p><code><a href="chi_squared_test.html">chi_squared_test()</a></code> </p>
         </td>
-        <td><p>Mann-Whitney-U-Test</p></td>
+        <td><p>Chi-Squared test</p></td>
       </tr><tr><td>
-          <p><code><a href="mean_n.html">mean_n()</a></code> </p>
+          <p><code><a href="kruskal_wallis_test.html">kruskal_wallis_test()</a></code> </p>
         </td>
-        <td><p>Row means with min amount of valid values</p></td>
+        <td><p>Kruskal-Wallis test</p></td>
       </tr><tr><td>
-          <p><code><a href="means_by_group.html">means_by_group()</a></code> <code><a href="means_by_group.html">grpmean()</a></code> </p>
+          <p><code><a href="mann_whitney_test.html">mann_whitney_test()</a></code> </p>
         </td>
-        <td><p>Summary of mean values by group</p></td>
+        <td><p>Mann-Whitney-Test</p></td>
       </tr><tr><td>
           <p><code><a href="var_pop.html">var_pop()</a></code> <code><a href="var_pop.html">sd_pop()</a></code> </p>
         </td>
@@ -209,7 +209,7 @@ <h2 id="deprecated-and-defunct">Deprecated and Defunct <a href="#deprecated-and-
           <p class="section-desc"></p>
         </th>
       </tr></tbody><tbody><tr><td>
-          <p><code><a href="r2.html">r2()</a></code> <code><a href="r2.html">cohens_f()</a></code> <code><a href="r2.html">eta_sq()</a></code> <code><a href="r2.html">epsilon_sq()</a></code> <code><a href="r2.html">omega_sq()</a></code> <code><a href="r2.html">scale_weights()</a></code> <code><a href="r2.html">robust()</a></code> <code><a href="r2.html">icc()</a></code> <code><a href="r2.html">p_value()</a></code> <code><a href="r2.html">se()</a></code> </p>
+          <p><code><a href="r2.html">r2()</a></code> <code><a href="r2.html">cohens_f()</a></code> <code><a href="r2.html">eta_sq()</a></code> <code><a href="r2.html">epsilon_sq()</a></code> <code><a href="r2.html">omega_sq()</a></code> <code><a href="r2.html">scale_weights()</a></code> <code><a href="r2.html">robust()</a></code> <code><a href="r2.html">icc()</a></code> <code><a href="r2.html">p_value()</a></code> <code><a href="r2.html">se()</a></code> <code><a href="r2.html">means_by_group()</a></code> <code><a href="r2.html">mean_n()</a></code> </p>
         </td>
         <td><p>Deprecated functions</p></td>
       </tr></tbody></table></div>
diff --git a/reference/kruskal_wallis_test.html b/reference/kruskal_wallis_test.html
new file mode 100644
index 0000000..87a93bb
--- /dev/null
+++ b/reference/kruskal_wallis_test.html
@@ -0,0 +1,171 @@
+<!DOCTYPE html>
+<!-- Generated by pkgdown: do not edit by hand --><html lang="en"><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8"><meta charset="utf-8"><meta http-equiv="X-UA-Compatible" content="IE=edge"><meta name="viewport" content="width=device-width, initial-scale=1.0"><title>Kruskal-Wallis test — kruskal_wallis_test • sjstats</title><!-- favicons --><link rel="icon" type="image/png" sizes="16x16" href="../favicon-16x16.png"><link rel="icon" type="image/png" sizes="32x32" href="../favicon-32x32.png"><link rel="apple-touch-icon" type="image/png" sizes="180x180" href="../apple-touch-icon.png"><link rel="apple-touch-icon" type="image/png" sizes="120x120" href="../apple-touch-icon-120x120.png"><link rel="apple-touch-icon" type="image/png" sizes="76x76" href="../apple-touch-icon-76x76.png"><link rel="apple-touch-icon" type="image/png" sizes="60x60" href="../apple-touch-icon-60x60.png"><!-- jquery --><script src="https://cdnjs.cloudflare.com/ajax/libs/jquery/3.7.1/jquery.min.js" integrity="sha512-v2CJ7UaYy4JwqLDIrZUI/4hqeoQieOmAZNXBeQyjo21dadnwR+8ZaIJVT8EE2iyI61OV8e6M8PP2/4hpQINQ/g==" crossorigin="anonymous" referrerpolicy="no-referrer"></script><!-- Bootstrap --><link href="https://cdnjs.cloudflare.com/ajax/libs/bootswatch/3.4.0/flatly/bootstrap.min.css" rel="stylesheet" crossorigin="anonymous"><script src="https://cdnjs.cloudflare.com/ajax/libs/twitter-bootstrap/3.4.1/js/bootstrap.min.js" integrity="sha256-nuL8/2cJ5NDSSwnKD8VqreErSWHtnEP9E7AySL+1ev4=" crossorigin="anonymous"></script><!-- bootstrap-toc --><link rel="stylesheet" href="../bootstrap-toc.css"><script src="../bootstrap-toc.js"></script><!-- Font Awesome icons --><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.12.1/css/all.min.css" integrity="sha256-mmgLkCYLUQbXn0B1SRqzHar6dCnv9oZFPEC1g1cwlkk=" crossorigin="anonymous"><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.12.1/css/v4-shims.min.css" integrity="sha256-wZjR52fzng1pJHwx4aV2AO3yyTOXrcDW7jBpJtTwVxw=" crossorigin="anonymous"><!-- clipboard.js --><script src="https://cdnjs.cloudflare.com/ajax/libs/clipboard.js/2.0.6/clipboard.min.js" integrity="sha256-inc5kl9MA1hkeYUt+EC3BhlIgyp/2jDIyBLS6k3UxPI=" crossorigin="anonymous"></script><!-- headroom.js --><script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.11.0/headroom.min.js" integrity="sha256-AsUX4SJE1+yuDu5+mAVzJbuYNPHj/WroHuZ8Ir/CkE0=" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.11.0/jQuery.headroom.min.js" integrity="sha256-ZX/yNShbjqsohH1k95liqY9Gd8uOiE1S4vZc+9KQ1K4=" crossorigin="anonymous"></script><!-- pkgdown --><link href="../pkgdown.css" rel="stylesheet"><script src="../pkgdown.js"></script><meta property="og:title" content="Kruskal-Wallis test — kruskal_wallis_test"><meta property="og:description" content="This function performs a Kruskal-Wallis rank sum test, to test
+the null hypothesis that the population median of all of the groups are
+equal. The alternative is that they differ in at least one."><meta property="og:image" content="/logo.png"><!-- mathjax --><script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/MathJax.js" integrity="sha256-nvJJv9wWKEm88qvoQl9ekL2J+k/RWIsaSScxxlsrv8k=" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/config/TeX-AMS-MML_HTMLorMML.js" integrity="sha256-84DKXVJXs0/F8OTMzX4UR909+jtl4G7SPypPavF+GfA=" crossorigin="anonymous"></script><!--[if lt IE 9]>
+<script src="https://oss.maxcdn.com/html5shiv/3.7.3/html5shiv.min.js"></script>
+<script src="https://oss.maxcdn.com/respond/1.4.2/respond.min.js"></script>
+<![endif]--></head><body data-spy="scroll" data-target="#toc">
+    
+
+    <div class="container template-reference-topic">
+      <header><div class="navbar navbar-default navbar-fixed-top" role="navigation">
+  <div class="container">
+    <div class="navbar-header">
+      <button type="button" class="navbar-toggle collapsed" data-toggle="collapse" data-target="#navbar" aria-expanded="false">
+        <span class="sr-only">Toggle navigation</span>
+        <span class="icon-bar"></span>
+        <span class="icon-bar"></span>
+        <span class="icon-bar"></span>
+      </button>
+      <span class="navbar-brand">
+        <a class="navbar-link" href="../index.html">sjstats</a>
+        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="">0.18.2</span>
+      </span>
+    </div>
+
+    <div id="navbar" class="navbar-collapse collapse">
+      <ul class="nav navbar-nav"><li>
+  <a href="../index.html">
+    <span class="fa fa-home fa-lg"></span>
+     
+  </a>
+</li>
+<li>
+  <a href="../news/index.html">News</a>
+</li>
+<li>
+  <a href="../reference/index.html">Reference</a>
+</li>
+      </ul><ul class="nav navbar-nav navbar-right"><li>
+  <a href="https://github.com/strengejacke/sjstats/" class="external-link">
+    <span class="fab fa-github fa-lg"></span>
+     
+  </a>
+</li>
+      </ul></div><!--/.nav-collapse -->
+  </div><!--/.container -->
+</div><!--/.navbar -->
+
+      
+
+      </header><div class="row">
+  <div class="col-md-9 contents">
+    <div class="page-header">
+    <h1>Kruskal-Wallis test</h1>
+    <small class="dont-index">Source: <a href="https://github.com/strengejacke/sjstats/blob/HEAD/R/kruskal_wallis_test.R" class="external-link"><code>R/kruskal_wallis_test.R</code></a></small>
+    <div class="hidden name"><code>kruskal_wallis_test.Rd</code></div>
+    </div>
+
+    <div class="ref-description">
+    <p>This function performs a Kruskal-Wallis rank sum test, to test
+the null hypothesis that the population median of all of the groups are
+equal. The alternative is that they differ in at least one.</p>
+    </div>
+
+    <div id="ref-usage">
+    <div class="sourceCode"><pre class="sourceCode r"><code><span><span class="fu">kruskal_wallis_test</span><span class="op">(</span><span class="va">data</span>, select <span class="op">=</span> <span class="cn">NULL</span>, by <span class="op">=</span> <span class="cn">NULL</span>, weights <span class="op">=</span> <span class="cn">NULL</span><span class="op">)</span></span></code></pre></div>
+    </div>
+
+    <div id="arguments">
+    <h2>Arguments</h2>
+    <dl><dt id="arg-data">data<a class="anchor" aria-label="anchor" href="#arg-data"></a></dt>
+<dd><p>A data frame.</p></dd>
+
+
+<dt id="arg-select">select<a class="anchor" aria-label="anchor" href="#arg-select"></a></dt>
+<dd><p>Name of the dependent variable (as string) to be used for the
+test. <code>select</code> can also be a character vector, specifying the names of
+multiple continuous variables. In this case, <code>by</code> is ignored and variables
+specified in <code>select</code> are used to compute the test. This can be useful if
+the data is in wide-format and no grouping variable is available.</p></dd>
+
+
+<dt id="arg-by">by<a class="anchor" aria-label="anchor" href="#arg-by"></a></dt>
+<dd><p>Name of the grouping variable to be used for the test. If <code>by</code> is
+not a factor, it will be coerced to a factor. For <code><a href="chi_squared_test.html">chi_squared_test()</a></code>, if
+<code>probabilities</code> is provided, <code>by</code> must be <code>NULL</code>.</p></dd>
+
+
+<dt id="arg-weights">weights<a class="anchor" aria-label="anchor" href="#arg-weights"></a></dt>
+<dd><p>Name of an (optional) weighting variable to be used for the test.</p></dd>
+
+</dl></div>
+    <div id="value">
+    <h2>Value</h2>
+    
+
+<p>A data frame with test results.</p>
+    </div>
+    <div id="details">
+    <h2>Details</h2>
+    <p>The function simply is a wrapper around <code><a href="https://rdrr.io/r/stats/kruskal.test.html" class="external-link">kruskal.test()</a></code>. The
+weighted version of the Kruskal-Wallis test is based on the <strong>survey</strong> package,
+using <code><a href="https://rdrr.io/pkg/survey/man/svyranktest.html" class="external-link">survey::svyranktest()</a></code>.</p>
+    </div>
+
+    <div id="ref-examples">
+    <h2>Examples</h2>
+    <div class="sourceCode"><pre class="sourceCode r"><code><span class="r-in"><span><span class="fu"><a href="https://rdrr.io/r/utils/data.html" class="external-link">data</a></span><span class="op">(</span><span class="va">efc</span><span class="op">)</span></span></span>
+<span class="r-in"><span><span class="co"># Kruskal-Wallis test for elder's age by education</span></span></span>
+<span class="r-in"><span><span class="fu">kruskal_wallis_test</span><span class="op">(</span><span class="va">efc</span>, <span class="st">"e17age"</span>, by <span class="op">=</span> <span class="st">"c172code"</span><span class="op">)</span></span></span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> <span style="color: #0000BB;"># Kruskal-Wallis test</span></span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> <span style="color: #00BBBB;">  Data: dv by grp (3 groups, n = 506, 180 and 156)</span></span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
+<span class="r-out co"><span class="r-pr">#&gt;</span>   χ² = 4.045, df = 2, p = 0.132</span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
+<span class="r-in"><span></span></span>
+<span class="r-in"><span><span class="co"># when data is in wide-format, specify all relevant continuous</span></span></span>
+<span class="r-in"><span><span class="co"># variables in `select` and omit `by`</span></span></span>
+<span class="r-in"><span><span class="fu"><a href="https://rdrr.io/r/base/Random.html" class="external-link">set.seed</a></span><span class="op">(</span><span class="fl">123</span><span class="op">)</span></span></span>
+<span class="r-in"><span><span class="va">wide_data</span> <span class="op">&lt;-</span> <span class="fu"><a href="https://rdrr.io/r/base/data.frame.html" class="external-link">data.frame</a></span><span class="op">(</span></span></span>
+<span class="r-in"><span>  scale1 <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/stats/Uniform.html" class="external-link">runif</a></span><span class="op">(</span><span class="fl">20</span><span class="op">)</span>,</span></span>
+<span class="r-in"><span>  scale2 <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/stats/Uniform.html" class="external-link">runif</a></span><span class="op">(</span><span class="fl">20</span><span class="op">)</span>,</span></span>
+<span class="r-in"><span>  scale3 <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/stats/Uniform.html" class="external-link">runif</a></span><span class="op">(</span><span class="fl">20</span><span class="op">)</span></span></span>
+<span class="r-in"><span><span class="op">)</span></span></span>
+<span class="r-in"><span><span class="fu">kruskal_wallis_test</span><span class="op">(</span><span class="va">wide_data</span>, select <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"scale1"</span>, <span class="st">"scale2"</span>, <span class="st">"scale3"</span><span class="op">)</span><span class="op">)</span></span></span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> <span style="color: #0000BB;"># Kruskal-Wallis test</span></span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> <span style="color: #00BBBB;">  Data: dv by grp (3 groups, n = 20, 20 and 20)</span></span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
+<span class="r-out co"><span class="r-pr">#&gt;</span>   χ² = 4.863, df = 2, p = 0.088</span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
+<span class="r-in"><span></span></span>
+<span class="r-in"><span><span class="co"># same as if we had data in long format, with grouping variable</span></span></span>
+<span class="r-in"><span><span class="va">long_data</span> <span class="op">&lt;-</span> <span class="fu"><a href="https://rdrr.io/r/base/data.frame.html" class="external-link">data.frame</a></span><span class="op">(</span></span></span>
+<span class="r-in"><span>  scales <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="va">wide_data</span><span class="op">$</span><span class="va">scale1</span>, <span class="va">wide_data</span><span class="op">$</span><span class="va">scale2</span>, <span class="va">wide_data</span><span class="op">$</span><span class="va">scale3</span><span class="op">)</span>,</span></span>
+<span class="r-in"><span>  groups <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/rep.html" class="external-link">rep</a></span><span class="op">(</span><span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"A"</span>, <span class="st">"B"</span>, <span class="st">"C"</span><span class="op">)</span>, each <span class="op">=</span> <span class="fl">20</span><span class="op">)</span></span></span>
+<span class="r-in"><span><span class="op">)</span></span></span>
+<span class="r-in"><span><span class="fu">kruskal_wallis_test</span><span class="op">(</span><span class="va">long_data</span>, select <span class="op">=</span> <span class="st">"scales"</span>, by <span class="op">=</span> <span class="st">"groups"</span><span class="op">)</span></span></span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> <span style="color: #0000BB;"># Kruskal-Wallis test</span></span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> <span style="color: #00BBBB;">  Data: dv by grp (3 groups, n = 20, 20 and 20)</span></span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
+<span class="r-out co"><span class="r-pr">#&gt;</span>   χ² = 4.863, df = 2, p = 0.088</span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
+</code></pre></div>
+    </div>
+  </div>
+  <div class="col-md-3 hidden-xs hidden-sm" id="pkgdown-sidebar">
+    <nav id="toc" data-toggle="toc" class="sticky-top"><h2 data-toc-skip>Contents</h2>
+    </nav></div>
+</div>
+
+
+      <footer><div class="copyright">
+  <p></p><p>Developed by <a href="https://github.com/strengejacke" class="external-link">Daniel Lüdecke</a>.</p>
+</div>
+
+<div class="pkgdown">
+  <p></p><p>Site built with <a href="https://pkgdown.r-lib.org/" class="external-link">pkgdown</a> 2.0.9.9000.</p>
+</div>
+
+      </footer></div>
+
+  
+
+
+  
+
+  </body></html>
+
diff --git a/reference/mann_whitney_test.html b/reference/mann_whitney_test.html
new file mode 100644
index 0000000..2e412ab
--- /dev/null
+++ b/reference/mann_whitney_test.html
@@ -0,0 +1,192 @@
+<!DOCTYPE html>
+<!-- Generated by pkgdown: do not edit by hand --><html lang="en"><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8"><meta charset="utf-8"><meta http-equiv="X-UA-Compatible" content="IE=edge"><meta name="viewport" content="width=device-width, initial-scale=1.0"><title>Mann-Whitney-Test — mann_whitney_test • sjstats</title><!-- favicons --><link rel="icon" type="image/png" sizes="16x16" href="../favicon-16x16.png"><link rel="icon" type="image/png" sizes="32x32" href="../favicon-32x32.png"><link rel="apple-touch-icon" type="image/png" sizes="180x180" href="../apple-touch-icon.png"><link rel="apple-touch-icon" type="image/png" sizes="120x120" href="../apple-touch-icon-120x120.png"><link rel="apple-touch-icon" type="image/png" sizes="76x76" href="../apple-touch-icon-76x76.png"><link rel="apple-touch-icon" type="image/png" sizes="60x60" href="../apple-touch-icon-60x60.png"><!-- jquery --><script src="https://cdnjs.cloudflare.com/ajax/libs/jquery/3.7.1/jquery.min.js" integrity="sha512-v2CJ7UaYy4JwqLDIrZUI/4hqeoQieOmAZNXBeQyjo21dadnwR+8ZaIJVT8EE2iyI61OV8e6M8PP2/4hpQINQ/g==" crossorigin="anonymous" referrerpolicy="no-referrer"></script><!-- Bootstrap --><link href="https://cdnjs.cloudflare.com/ajax/libs/bootswatch/3.4.0/flatly/bootstrap.min.css" rel="stylesheet" crossorigin="anonymous"><script src="https://cdnjs.cloudflare.com/ajax/libs/twitter-bootstrap/3.4.1/js/bootstrap.min.js" integrity="sha256-nuL8/2cJ5NDSSwnKD8VqreErSWHtnEP9E7AySL+1ev4=" crossorigin="anonymous"></script><!-- bootstrap-toc --><link rel="stylesheet" href="../bootstrap-toc.css"><script src="../bootstrap-toc.js"></script><!-- Font Awesome icons --><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.12.1/css/all.min.css" integrity="sha256-mmgLkCYLUQbXn0B1SRqzHar6dCnv9oZFPEC1g1cwlkk=" crossorigin="anonymous"><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.12.1/css/v4-shims.min.css" integrity="sha256-wZjR52fzng1pJHwx4aV2AO3yyTOXrcDW7jBpJtTwVxw=" crossorigin="anonymous"><!-- clipboard.js --><script src="https://cdnjs.cloudflare.com/ajax/libs/clipboard.js/2.0.6/clipboard.min.js" integrity="sha256-inc5kl9MA1hkeYUt+EC3BhlIgyp/2jDIyBLS6k3UxPI=" crossorigin="anonymous"></script><!-- headroom.js --><script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.11.0/headroom.min.js" integrity="sha256-AsUX4SJE1+yuDu5+mAVzJbuYNPHj/WroHuZ8Ir/CkE0=" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.11.0/jQuery.headroom.min.js" integrity="sha256-ZX/yNShbjqsohH1k95liqY9Gd8uOiE1S4vZc+9KQ1K4=" crossorigin="anonymous"></script><!-- pkgdown --><link href="../pkgdown.css" rel="stylesheet"><script src="../pkgdown.js"></script><meta property="og:title" content="Mann-Whitney-Test — mann_whitney_test"><meta property="og:description" content="This function performs a Mann-Whitney-Test (or Wilcoxon rank
+sum test for unpaired samples.
+A Mann-Whitney-Test is a non-parametric test for the null hypothesis that two
+independent samples have identical continuous distributions. It can be used
+when the two continuous variables are not normally distributed."><meta property="og:image" content="/logo.png"><!-- mathjax --><script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/MathJax.js" integrity="sha256-nvJJv9wWKEm88qvoQl9ekL2J+k/RWIsaSScxxlsrv8k=" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/config/TeX-AMS-MML_HTMLorMML.js" integrity="sha256-84DKXVJXs0/F8OTMzX4UR909+jtl4G7SPypPavF+GfA=" crossorigin="anonymous"></script><!--[if lt IE 9]>
+<script src="https://oss.maxcdn.com/html5shiv/3.7.3/html5shiv.min.js"></script>
+<script src="https://oss.maxcdn.com/respond/1.4.2/respond.min.js"></script>
+<![endif]--></head><body data-spy="scroll" data-target="#toc">
+    
+
+    <div class="container template-reference-topic">
+      <header><div class="navbar navbar-default navbar-fixed-top" role="navigation">
+  <div class="container">
+    <div class="navbar-header">
+      <button type="button" class="navbar-toggle collapsed" data-toggle="collapse" data-target="#navbar" aria-expanded="false">
+        <span class="sr-only">Toggle navigation</span>
+        <span class="icon-bar"></span>
+        <span class="icon-bar"></span>
+        <span class="icon-bar"></span>
+      </button>
+      <span class="navbar-brand">
+        <a class="navbar-link" href="../index.html">sjstats</a>
+        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="">0.18.2</span>
+      </span>
+    </div>
+
+    <div id="navbar" class="navbar-collapse collapse">
+      <ul class="nav navbar-nav"><li>
+  <a href="../index.html">
+    <span class="fa fa-home fa-lg"></span>
+     
+  </a>
+</li>
+<li>
+  <a href="../news/index.html">News</a>
+</li>
+<li>
+  <a href="../reference/index.html">Reference</a>
+</li>
+      </ul><ul class="nav navbar-nav navbar-right"><li>
+  <a href="https://github.com/strengejacke/sjstats/" class="external-link">
+    <span class="fab fa-github fa-lg"></span>
+     
+  </a>
+</li>
+      </ul></div><!--/.nav-collapse -->
+  </div><!--/.container -->
+</div><!--/.navbar -->
+
+      
+
+      </header><div class="row">
+  <div class="col-md-9 contents">
+    <div class="page-header">
+    <h1>Mann-Whitney-Test</h1>
+    <small class="dont-index">Source: <a href="https://github.com/strengejacke/sjstats/blob/HEAD/R/mann_whitney_test.R" class="external-link"><code>R/mann_whitney_test.R</code></a></small>
+    <div class="hidden name"><code>mann_whitney_test.Rd</code></div>
+    </div>
+
+    <div class="ref-description">
+    <p>This function performs a Mann-Whitney-Test (or Wilcoxon rank
+sum test for <em>unpaired</em> samples.</p>
+<p>A Mann-Whitney-Test is a non-parametric test for the null hypothesis that two
+independent samples have identical continuous distributions. It can be used
+when the two continuous variables are not normally distributed.</p>
+    </div>
+
+    <div id="ref-usage">
+    <div class="sourceCode"><pre class="sourceCode r"><code><span><span class="fu">mann_whitney_test</span><span class="op">(</span></span>
+<span>  <span class="va">data</span>,</span>
+<span>  select <span class="op">=</span> <span class="cn">NULL</span>,</span>
+<span>  by <span class="op">=</span> <span class="cn">NULL</span>,</span>
+<span>  weights <span class="op">=</span> <span class="cn">NULL</span>,</span>
+<span>  distribution <span class="op">=</span> <span class="st">"asymptotic"</span></span>
+<span><span class="op">)</span></span></code></pre></div>
+    </div>
+
+    <div id="arguments">
+    <h2>Arguments</h2>
+    <dl><dt id="arg-data">data<a class="anchor" aria-label="anchor" href="#arg-data"></a></dt>
+<dd><p>A data frame.</p></dd>
+
+
+<dt id="arg-select">select<a class="anchor" aria-label="anchor" href="#arg-select"></a></dt>
+<dd><p>Name of the dependent variable (as string) to be used for the
+test. <code>select</code> can also be a character vector, specifying the names of
+multiple continuous variables. In this case, <code>by</code> is ignored and variables
+specified in <code>select</code> are used to compute the test. This can be useful if
+the data is in wide-format and no grouping variable is available.</p></dd>
+
+
+<dt id="arg-by">by<a class="anchor" aria-label="anchor" href="#arg-by"></a></dt>
+<dd><p>Name of the grouping variable to be used for the test. If <code>by</code> is
+not a factor, it will be coerced to a factor. For <code><a href="chi_squared_test.html">chi_squared_test()</a></code>, if
+<code>probabilities</code> is provided, <code>by</code> must be <code>NULL</code>.</p></dd>
+
+
+<dt id="arg-weights">weights<a class="anchor" aria-label="anchor" href="#arg-weights"></a></dt>
+<dd><p>Name of an (optional) weighting variable to be used for the test.</p></dd>
+
+
+<dt id="arg-distribution">distribution<a class="anchor" aria-label="anchor" href="#arg-distribution"></a></dt>
+<dd><p>Indicates how the null distribution of the test statistic
+should be computed. May be one of <code>"exact"</code>, <code>"approximate"</code> or <code>"asymptotic"</code>
+(default). See <code><a href="https://rdrr.io/pkg/coin/man/LocationTests.html" class="external-link">coin::wilcox_test()</a></code> for details.</p></dd>
+
+</dl></div>
+    <div id="value">
+    <h2>Value</h2>
+    
+
+<p>A data frame with test results. The function returns p and Z-values
+as well as effect size r and group-rank-means.</p>
+    </div>
+    <div id="details">
+    <h2>Details</h2>
+    <p>This function is based on <code><a href="https://rdrr.io/r/stats/wilcox.test.html" class="external-link">wilcox.test()</a></code> and <code><a href="https://rdrr.io/pkg/coin/man/LocationTests.html" class="external-link">coin::wilcox_test()</a></code>
+(the latter to extract effect sizes). The weighted version of the test is
+based on <code><a href="https://rdrr.io/pkg/survey/man/svyranktest.html" class="external-link">survey::svyranktest()</a></code>.</p>
+<p>Interpretation of the effect size <strong>r</strong>, as a rule-of-thumb:</p><ul><li><p>small effect &gt;= 0.1</p></li>
+<li><p>medium effect &gt;= 0.3</p></li>
+<li><p>large effect &gt;= 0.5</p></li>
+</ul><p><strong>r</strong> is calcuated as:</p>
+<p></p><div class="sourceCode"><pre><code><span id="cb1-1"><a href="#cb1-1" tabindex="-1"></a>r <span class="ot">=</span> <span class="er">|</span>Z<span class="sc">|</span> <span class="er">/</span> <span class="fu">sqrt</span>(n1 <span class="sc">+</span> n2)</span></code></pre><p></p></div>
+    </div>
+
+    <div id="ref-examples">
+    <h2>Examples</h2>
+    <div class="sourceCode"><pre class="sourceCode r"><code><span class="r-in"><span><span class="fu"><a href="https://rdrr.io/r/utils/data.html" class="external-link">data</a></span><span class="op">(</span><span class="va">efc</span><span class="op">)</span></span></span>
+<span class="r-in"><span><span class="co"># Mann-Whitney-U-Tests for elder's age by elder's sex.</span></span></span>
+<span class="r-in"><span><span class="fu">mann_whitney_test</span><span class="op">(</span><span class="va">efc</span>, <span class="st">"e17age"</span>, by <span class="op">=</span> <span class="st">"e16sex"</span><span class="op">)</span></span></span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> <span style="color: #0000BB;"># Mann-Whitney test</span></span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> <span style="color: #00BBBB;">  Group 1: male   (n = 294, rank mean = 147.50)</span></span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> <span style="color: #00BBBB;">  Group 2: female (n = 596, rank mean = 298.50)</span></span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
+<span class="r-out co"><span class="r-pr">#&gt;</span>   r = 0.257, Z = -7.748, p &lt; .001</span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
+<span class="r-in"><span></span></span>
+<span class="r-in"><span><span class="co"># when data is in wide-format, specify all relevant continuous</span></span></span>
+<span class="r-in"><span><span class="co"># variables in `select` and omit `by`</span></span></span>
+<span class="r-in"><span><span class="fu"><a href="https://rdrr.io/r/base/Random.html" class="external-link">set.seed</a></span><span class="op">(</span><span class="fl">123</span><span class="op">)</span></span></span>
+<span class="r-in"><span><span class="va">wide_data</span> <span class="op">&lt;-</span> <span class="fu"><a href="https://rdrr.io/r/base/data.frame.html" class="external-link">data.frame</a></span><span class="op">(</span>scale1 <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/stats/Uniform.html" class="external-link">runif</a></span><span class="op">(</span><span class="fl">20</span><span class="op">)</span>, scale2 <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/stats/Uniform.html" class="external-link">runif</a></span><span class="op">(</span><span class="fl">20</span><span class="op">)</span><span class="op">)</span></span></span>
+<span class="r-in"><span><span class="fu">mann_whitney_test</span><span class="op">(</span><span class="va">wide_data</span>, select <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"scale1"</span>, <span class="st">"scale2"</span><span class="op">)</span><span class="op">)</span></span></span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> <span style="color: #0000BB;"># Mann-Whitney test</span></span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> <span style="color: #00BBBB;">  Group 1: scale1 (n = 20, rank mean = 10.50)</span></span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> <span style="color: #00BBBB;">  Group 2: scale2 (n = 20, rank mean = 10.50)</span></span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
+<span class="r-out co"><span class="r-pr">#&gt;</span>   r = 0.051, Z = -0.325, p = 0.745</span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
+<span class="r-in"><span></span></span>
+<span class="r-in"><span><span class="co"># same as if we had data in long format, with grouping variable</span></span></span>
+<span class="r-in"><span><span class="va">long_data</span> <span class="op">&lt;-</span> <span class="fu"><a href="https://rdrr.io/r/base/data.frame.html" class="external-link">data.frame</a></span><span class="op">(</span></span></span>
+<span class="r-in"><span>  scales <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="va">wide_data</span><span class="op">$</span><span class="va">scale1</span>, <span class="va">wide_data</span><span class="op">$</span><span class="va">scale2</span><span class="op">)</span>,</span></span>
+<span class="r-in"><span>  groups <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/rep.html" class="external-link">rep</a></span><span class="op">(</span><span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"A"</span>, <span class="st">"B"</span><span class="op">)</span>, each <span class="op">=</span> <span class="fl">20</span><span class="op">)</span></span></span>
+<span class="r-in"><span><span class="op">)</span></span></span>
+<span class="r-in"><span><span class="fu">mann_whitney_test</span><span class="op">(</span><span class="va">long_data</span>, select <span class="op">=</span> <span class="st">"scales"</span>, by <span class="op">=</span> <span class="st">"groups"</span><span class="op">)</span></span></span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> <span style="color: #0000BB;"># Mann-Whitney test</span></span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> <span style="color: #00BBBB;">  Group 1: A (n = 20, rank mean = 10.50)</span></span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> <span style="color: #00BBBB;">  Group 2: B (n = 20, rank mean = 10.50)</span></span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
+<span class="r-out co"><span class="r-pr">#&gt;</span>   r = 0.051, Z = -0.325, p = 0.745</span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
+</code></pre></div>
+    </div>
+  </div>
+  <div class="col-md-3 hidden-xs hidden-sm" id="pkgdown-sidebar">
+    <nav id="toc" data-toggle="toc" class="sticky-top"><h2 data-toc-skip>Contents</h2>
+    </nav></div>
+</div>
+
+
+      <footer><div class="copyright">
+  <p></p><p>Developed by <a href="https://github.com/strengejacke" class="external-link">Daniel Lüdecke</a>.</p>
+</div>
+
+<div class="pkgdown">
+  <p></p><p>Site built with <a href="https://pkgdown.r-lib.org/" class="external-link">pkgdown</a> 2.0.9.9000.</p>
+</div>
+
+      </footer></div>
+
+  
+
+
+  
+
+  </body></html>
+
diff --git a/reference/mean_n.html b/reference/mean_n.html
deleted file mode 100644
index bb282b0..0000000
--- a/reference/mean_n.html
+++ /dev/null
@@ -1,168 +0,0 @@
-<!DOCTYPE html>
-<!-- Generated by pkgdown: do not edit by hand --><html lang="en"><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8"><meta charset="utf-8"><meta http-equiv="X-UA-Compatible" content="IE=edge"><meta name="viewport" content="width=device-width, initial-scale=1.0"><title>Row means with min amount of valid values — mean_n • sjstats</title><!-- favicons --><link rel="icon" type="image/png" sizes="16x16" href="../favicon-16x16.png"><link rel="icon" type="image/png" sizes="32x32" href="../favicon-32x32.png"><link rel="apple-touch-icon" type="image/png" sizes="180x180" href="../apple-touch-icon.png"><link rel="apple-touch-icon" type="image/png" sizes="120x120" href="../apple-touch-icon-120x120.png"><link rel="apple-touch-icon" type="image/png" sizes="76x76" href="../apple-touch-icon-76x76.png"><link rel="apple-touch-icon" type="image/png" sizes="60x60" href="../apple-touch-icon-60x60.png"><!-- jquery --><script src="https://cdnjs.cloudflare.com/ajax/libs/jquery/3.7.1/jquery.min.js" integrity="sha512-v2CJ7UaYy4JwqLDIrZUI/4hqeoQieOmAZNXBeQyjo21dadnwR+8ZaIJVT8EE2iyI61OV8e6M8PP2/4hpQINQ/g==" crossorigin="anonymous" referrerpolicy="no-referrer"></script><!-- Bootstrap --><link href="https://cdnjs.cloudflare.com/ajax/libs/bootswatch/3.4.0/flatly/bootstrap.min.css" rel="stylesheet" crossorigin="anonymous"><script src="https://cdnjs.cloudflare.com/ajax/libs/twitter-bootstrap/3.4.1/js/bootstrap.min.js" integrity="sha256-nuL8/2cJ5NDSSwnKD8VqreErSWHtnEP9E7AySL+1ev4=" crossorigin="anonymous"></script><!-- bootstrap-toc --><link rel="stylesheet" href="../bootstrap-toc.css"><script src="../bootstrap-toc.js"></script><!-- Font Awesome icons --><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.12.1/css/all.min.css" integrity="sha256-mmgLkCYLUQbXn0B1SRqzHar6dCnv9oZFPEC1g1cwlkk=" crossorigin="anonymous"><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.12.1/css/v4-shims.min.css" integrity="sha256-wZjR52fzng1pJHwx4aV2AO3yyTOXrcDW7jBpJtTwVxw=" crossorigin="anonymous"><!-- clipboard.js --><script src="https://cdnjs.cloudflare.com/ajax/libs/clipboard.js/2.0.6/clipboard.min.js" integrity="sha256-inc5kl9MA1hkeYUt+EC3BhlIgyp/2jDIyBLS6k3UxPI=" crossorigin="anonymous"></script><!-- headroom.js --><script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.11.0/headroom.min.js" integrity="sha256-AsUX4SJE1+yuDu5+mAVzJbuYNPHj/WroHuZ8Ir/CkE0=" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.11.0/jQuery.headroom.min.js" integrity="sha256-ZX/yNShbjqsohH1k95liqY9Gd8uOiE1S4vZc+9KQ1K4=" crossorigin="anonymous"></script><!-- pkgdown --><link href="../pkgdown.css" rel="stylesheet"><script src="../pkgdown.js"></script><meta property="og:title" content="Row means with min amount of valid values — mean_n"><meta property="og:description" content="This function is similar to the SPSS MEAN.n function and computes
-row means from a data.frame or matrix if at least n
-values of a row are valid (and not NA)."><meta property="og:image" content="/logo.png"><!-- mathjax --><script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/MathJax.js" integrity="sha256-nvJJv9wWKEm88qvoQl9ekL2J+k/RWIsaSScxxlsrv8k=" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/config/TeX-AMS-MML_HTMLorMML.js" integrity="sha256-84DKXVJXs0/F8OTMzX4UR909+jtl4G7SPypPavF+GfA=" crossorigin="anonymous"></script><!--[if lt IE 9]>
-<script src="https://oss.maxcdn.com/html5shiv/3.7.3/html5shiv.min.js"></script>
-<script src="https://oss.maxcdn.com/respond/1.4.2/respond.min.js"></script>
-<![endif]--></head><body data-spy="scroll" data-target="#toc">
-    
-
-    <div class="container template-reference-topic">
-      <header><div class="navbar navbar-default navbar-fixed-top" role="navigation">
-  <div class="container">
-    <div class="navbar-header">
-      <button type="button" class="navbar-toggle collapsed" data-toggle="collapse" data-target="#navbar" aria-expanded="false">
-        <span class="sr-only">Toggle navigation</span>
-        <span class="icon-bar"></span>
-        <span class="icon-bar"></span>
-        <span class="icon-bar"></span>
-      </button>
-      <span class="navbar-brand">
-        <a class="navbar-link" href="../index.html">sjstats</a>
-        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="">0.18.2</span>
-      </span>
-    </div>
-
-    <div id="navbar" class="navbar-collapse collapse">
-      <ul class="nav navbar-nav"><li>
-  <a href="../index.html">
-    <span class="fa fa-home fa-lg"></span>
-     
-  </a>
-</li>
-<li>
-  <a href="../news/index.html">News</a>
-</li>
-<li>
-  <a href="../reference/index.html">Reference</a>
-</li>
-      </ul><ul class="nav navbar-nav navbar-right"><li>
-  <a href="https://github.com/strengejacke/sjstats/" class="external-link">
-    <span class="fab fa-github fa-lg"></span>
-     
-  </a>
-</li>
-      </ul></div><!--/.nav-collapse -->
-  </div><!--/.container -->
-</div><!--/.navbar -->
-
-      
-
-      </header><div class="row">
-  <div class="col-md-9 contents">
-    <div class="page-header">
-    <h1>Row means with min amount of valid values</h1>
-    <small class="dont-index">Source: <a href="https://github.com/strengejacke/sjstats/blob/HEAD/R/mean_n.R" class="external-link"><code>R/mean_n.R</code></a></small>
-    <div class="hidden name"><code>mean_n.Rd</code></div>
-    </div>
-
-    <div class="ref-description">
-    <p>This function is similar to the SPSS <code>MEAN.n</code> function and computes
-row means from a <code>data.frame</code> or <code>matrix</code> if at least <code>n</code>
-values of a row are valid (and not <code>NA</code>).</p>
-    </div>
-
-    <div id="ref-usage">
-    <div class="sourceCode"><pre class="sourceCode r"><code><span><span class="fu">mean_n</span><span class="op">(</span><span class="va">dat</span>, <span class="va">n</span>, digits <span class="op">=</span> <span class="fl">2</span><span class="op">)</span></span></code></pre></div>
-    </div>
-
-    <div id="arguments">
-    <h2>Arguments</h2>
-    <dl><dt id="arg-dat">dat<a class="anchor" aria-label="anchor" href="#arg-dat"></a></dt>
-<dd><p>A data frame with at least two columns, where row means are applied.</p></dd>
-
-
-<dt id="arg-n">n<a class="anchor" aria-label="anchor" href="#arg-n"></a></dt>
-<dd><p>May either be</p><ul><li><p>a numeric value that indicates the amount of valid values per row to calculate the row mean;</p></li>
-<li><p>or a value between 0 and 1, indicating a proportion of valid values per row to calculate the row mean (see 'Details').</p></li>
-</ul><p>If a row's sum of valid values is less than <code>n</code>, <code>NA</code> will be returned as row mean value.</p></dd>
-
-
-<dt id="arg-digits">digits<a class="anchor" aria-label="anchor" href="#arg-digits"></a></dt>
-<dd><p>Numeric value indicating the number of decimal places to be used for rounding mean
-value. Negative values are allowed (see 'Details').</p></dd>
-
-</dl></div>
-    <div id="value">
-    <h2>Value</h2>
-    
-
-<p>A vector with row mean values of <code>df</code> for those rows with at least <code>n</code></p>
-
-
-<p>valid values. Else, <code>NA</code> is returned.</p>
-    </div>
-    <div id="details">
-    <h2>Details</h2>
-    <p>Rounding to a negative number of <code>digits</code> means rounding to a power of
-ten, so for example mean_n(df, 3, digits = -2) rounds to the
-nearest hundred. <br><br>
-For <code>n</code>, must be a numeric value from <code>0</code> to <code>ncol(dat)</code>. If
-a <em>row</em> in <code>dat</code> has at least <code>n</code> non-missing values, the
-row mean is returned. If <code>n</code> is a non-integer value from 0 to 1,
-<code>n</code> is considered to indicate the proportion of necessary non-missing
-values per row. E.g., if <code>n = .75</code>, a row must have at least <code>ncol(dat) * n</code>
-non-missing values for the row mean to be calculated. See 'Examples'.</p>
-    </div>
-    <div id="references">
-    <h2>References</h2>
-    <p><a href="https://r4stats.com/2014/09/03/adding-the-spss-mean-n-function-to-r/" class="external-link">r4stats.com</a></p>
-    </div>
-
-    <div id="ref-examples">
-    <h2>Examples</h2>
-    <div class="sourceCode"><pre class="sourceCode r"><code><span class="r-in"><span><span class="va">dat</span> <span class="op">&lt;-</span> <span class="fu"><a href="https://rdrr.io/r/base/data.frame.html" class="external-link">data.frame</a></span><span class="op">(</span>c1 <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="fl">1</span>,<span class="fl">2</span>,<span class="cn">NA</span>,<span class="fl">4</span><span class="op">)</span>,</span></span>
-<span class="r-in"><span>                  c2 <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="cn">NA</span>,<span class="fl">2</span>,<span class="cn">NA</span>,<span class="fl">5</span><span class="op">)</span>,</span></span>
-<span class="r-in"><span>                  c3 <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="cn">NA</span>,<span class="fl">4</span>,<span class="cn">NA</span>,<span class="cn">NA</span><span class="op">)</span>,</span></span>
-<span class="r-in"><span>                  c4 <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="fl">2</span>,<span class="fl">3</span>,<span class="fl">7</span>,<span class="fl">8</span><span class="op">)</span><span class="op">)</span></span></span>
-<span class="r-in"><span></span></span>
-<span class="r-in"><span><span class="co"># needs at least 4 non-missing values per row</span></span></span>
-<span class="r-in"><span><span class="fu">mean_n</span><span class="op">(</span><span class="va">dat</span>, <span class="fl">4</span><span class="op">)</span> <span class="co"># 1 valid return value</span></span></span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> [1]   NA 2.75   NA   NA</span>
-<span class="r-in"><span></span></span>
-<span class="r-in"><span><span class="co"># needs at least 3 non-missing values per row</span></span></span>
-<span class="r-in"><span><span class="fu">mean_n</span><span class="op">(</span><span class="va">dat</span>, <span class="fl">3</span><span class="op">)</span> <span class="co"># 2 valid return values</span></span></span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> [1]   NA 2.75   NA 5.67</span>
-<span class="r-in"><span></span></span>
-<span class="r-in"><span><span class="co"># needs at least 2 non-missing values per row</span></span></span>
-<span class="r-in"><span><span class="fu">mean_n</span><span class="op">(</span><span class="va">dat</span>, <span class="fl">2</span><span class="op">)</span></span></span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> [1] 1.50 2.75   NA 5.67</span>
-<span class="r-in"><span></span></span>
-<span class="r-in"><span><span class="co"># needs at least 1 non-missing value per row</span></span></span>
-<span class="r-in"><span><span class="fu">mean_n</span><span class="op">(</span><span class="va">dat</span>, <span class="fl">1</span><span class="op">)</span> <span class="co"># all means are shown</span></span></span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> [1] 1.50 2.75 7.00 5.67</span>
-<span class="r-in"><span></span></span>
-<span class="r-in"><span><span class="co"># needs at least 50% of non-missing values per row</span></span></span>
-<span class="r-in"><span><span class="fu">mean_n</span><span class="op">(</span><span class="va">dat</span>, <span class="fl">.5</span><span class="op">)</span> <span class="co"># 3 valid return values</span></span></span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> [1] 1.50 2.75   NA 5.67</span>
-<span class="r-in"><span></span></span>
-<span class="r-in"><span><span class="co"># needs at least 75% of non-missing values per row</span></span></span>
-<span class="r-in"><span><span class="fu">mean_n</span><span class="op">(</span><span class="va">dat</span>, <span class="fl">.75</span><span class="op">)</span> <span class="co"># 2 valid return values</span></span></span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> [1]   NA 2.75   NA 5.67</span>
-<span class="r-in"><span></span></span>
-</code></pre></div>
-    </div>
-  </div>
-  <div class="col-md-3 hidden-xs hidden-sm" id="pkgdown-sidebar">
-    <nav id="toc" data-toggle="toc" class="sticky-top"><h2 data-toc-skip>Contents</h2>
-    </nav></div>
-</div>
-
-
-      <footer><div class="copyright">
-  <p></p><p>Developed by <a href="https://github.com/strengejacke" class="external-link">Daniel Lüdecke</a>.</p>
-</div>
-
-<div class="pkgdown">
-  <p></p><p>Site built with <a href="https://pkgdown.r-lib.org/" class="external-link">pkgdown</a> 2.0.9.9000.</p>
-</div>
-
-      </footer></div>
-
-  
-
-
-  
-
-  </body></html>
-
diff --git a/reference/means_by_group.html b/reference/means_by_group.html
deleted file mode 100644
index db58880..0000000
--- a/reference/means_by_group.html
+++ /dev/null
@@ -1,279 +0,0 @@
-<!DOCTYPE html>
-<!-- Generated by pkgdown: do not edit by hand --><html lang="en"><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8"><meta charset="utf-8"><meta http-equiv="X-UA-Compatible" content="IE=edge"><meta name="viewport" content="width=device-width, initial-scale=1.0"><title>Summary of mean values by group — means_by_group • sjstats</title><!-- favicons --><link rel="icon" type="image/png" sizes="16x16" href="../favicon-16x16.png"><link rel="icon" type="image/png" sizes="32x32" href="../favicon-32x32.png"><link rel="apple-touch-icon" type="image/png" sizes="180x180" href="../apple-touch-icon.png"><link rel="apple-touch-icon" type="image/png" sizes="120x120" href="../apple-touch-icon-120x120.png"><link rel="apple-touch-icon" type="image/png" sizes="76x76" href="../apple-touch-icon-76x76.png"><link rel="apple-touch-icon" type="image/png" sizes="60x60" href="../apple-touch-icon-60x60.png"><!-- jquery --><script src="https://cdnjs.cloudflare.com/ajax/libs/jquery/3.7.1/jquery.min.js" integrity="sha512-v2CJ7UaYy4JwqLDIrZUI/4hqeoQieOmAZNXBeQyjo21dadnwR+8ZaIJVT8EE2iyI61OV8e6M8PP2/4hpQINQ/g==" crossorigin="anonymous" referrerpolicy="no-referrer"></script><!-- Bootstrap --><link href="https://cdnjs.cloudflare.com/ajax/libs/bootswatch/3.4.0/flatly/bootstrap.min.css" rel="stylesheet" crossorigin="anonymous"><script src="https://cdnjs.cloudflare.com/ajax/libs/twitter-bootstrap/3.4.1/js/bootstrap.min.js" integrity="sha256-nuL8/2cJ5NDSSwnKD8VqreErSWHtnEP9E7AySL+1ev4=" crossorigin="anonymous"></script><!-- bootstrap-toc --><link rel="stylesheet" href="../bootstrap-toc.css"><script src="../bootstrap-toc.js"></script><!-- Font Awesome icons --><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.12.1/css/all.min.css" integrity="sha256-mmgLkCYLUQbXn0B1SRqzHar6dCnv9oZFPEC1g1cwlkk=" crossorigin="anonymous"><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.12.1/css/v4-shims.min.css" integrity="sha256-wZjR52fzng1pJHwx4aV2AO3yyTOXrcDW7jBpJtTwVxw=" crossorigin="anonymous"><!-- clipboard.js --><script src="https://cdnjs.cloudflare.com/ajax/libs/clipboard.js/2.0.6/clipboard.min.js" integrity="sha256-inc5kl9MA1hkeYUt+EC3BhlIgyp/2jDIyBLS6k3UxPI=" crossorigin="anonymous"></script><!-- headroom.js --><script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.11.0/headroom.min.js" integrity="sha256-AsUX4SJE1+yuDu5+mAVzJbuYNPHj/WroHuZ8Ir/CkE0=" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.11.0/jQuery.headroom.min.js" integrity="sha256-ZX/yNShbjqsohH1k95liqY9Gd8uOiE1S4vZc+9KQ1K4=" crossorigin="anonymous"></script><!-- pkgdown --><link href="../pkgdown.css" rel="stylesheet"><script src="../pkgdown.js"></script><meta property="og:title" content="Summary of mean values by group — means_by_group"><meta property="og:description" content="Computes mean, sd and se for each sub-group (indicated by grp)
-of dv."><meta property="og:image" content="/logo.png"><!-- mathjax --><script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/MathJax.js" integrity="sha256-nvJJv9wWKEm88qvoQl9ekL2J+k/RWIsaSScxxlsrv8k=" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/config/TeX-AMS-MML_HTMLorMML.js" integrity="sha256-84DKXVJXs0/F8OTMzX4UR909+jtl4G7SPypPavF+GfA=" crossorigin="anonymous"></script><!--[if lt IE 9]>
-<script src="https://oss.maxcdn.com/html5shiv/3.7.3/html5shiv.min.js"></script>
-<script src="https://oss.maxcdn.com/respond/1.4.2/respond.min.js"></script>
-<![endif]--></head><body data-spy="scroll" data-target="#toc">
-    
-
-    <div class="container template-reference-topic">
-      <header><div class="navbar navbar-default navbar-fixed-top" role="navigation">
-  <div class="container">
-    <div class="navbar-header">
-      <button type="button" class="navbar-toggle collapsed" data-toggle="collapse" data-target="#navbar" aria-expanded="false">
-        <span class="sr-only">Toggle navigation</span>
-        <span class="icon-bar"></span>
-        <span class="icon-bar"></span>
-        <span class="icon-bar"></span>
-      </button>
-      <span class="navbar-brand">
-        <a class="navbar-link" href="../index.html">sjstats</a>
-        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="">0.18.2</span>
-      </span>
-    </div>
-
-    <div id="navbar" class="navbar-collapse collapse">
-      <ul class="nav navbar-nav"><li>
-  <a href="../index.html">
-    <span class="fa fa-home fa-lg"></span>
-     
-  </a>
-</li>
-<li>
-  <a href="../news/index.html">News</a>
-</li>
-<li>
-  <a href="../reference/index.html">Reference</a>
-</li>
-      </ul><ul class="nav navbar-nav navbar-right"><li>
-  <a href="https://github.com/strengejacke/sjstats/" class="external-link">
-    <span class="fab fa-github fa-lg"></span>
-     
-  </a>
-</li>
-      </ul></div><!--/.nav-collapse -->
-  </div><!--/.container -->
-</div><!--/.navbar -->
-
-      
-
-      </header><div class="row">
-  <div class="col-md-9 contents">
-    <div class="page-header">
-    <h1>Summary of mean values by group</h1>
-    <small class="dont-index">Source: <a href="https://github.com/strengejacke/sjstats/blob/HEAD/R/grpmean.R" class="external-link"><code>R/grpmean.R</code></a></small>
-    <div class="hidden name"><code>means_by_group.Rd</code></div>
-    </div>
-
-    <div class="ref-description">
-    <p>Computes mean, sd and se for each sub-group (indicated by <code>grp</code>)
-of <code>dv</code>.</p>
-    </div>
-
-    <div id="ref-usage">
-    <div class="sourceCode"><pre class="sourceCode r"><code><span><span class="fu">means_by_group</span><span class="op">(</span></span>
-<span>  <span class="va">x</span>,</span>
-<span>  <span class="va">dv</span>,</span>
-<span>  <span class="va">grp</span>,</span>
-<span>  weights <span class="op">=</span> <span class="cn">NULL</span>,</span>
-<span>  digits <span class="op">=</span> <span class="fl">2</span>,</span>
-<span>  out <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"txt"</span>, <span class="st">"viewer"</span>, <span class="st">"browser"</span><span class="op">)</span>,</span>
-<span>  encoding <span class="op">=</span> <span class="st">"UTF-8"</span>,</span>
-<span>  file <span class="op">=</span> <span class="cn">NULL</span></span>
-<span><span class="op">)</span></span>
-<span></span>
-<span><span class="fu">grpmean</span><span class="op">(</span></span>
-<span>  <span class="va">x</span>,</span>
-<span>  <span class="va">dv</span>,</span>
-<span>  <span class="va">grp</span>,</span>
-<span>  weights <span class="op">=</span> <span class="cn">NULL</span>,</span>
-<span>  digits <span class="op">=</span> <span class="fl">2</span>,</span>
-<span>  out <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"txt"</span>, <span class="st">"viewer"</span>, <span class="st">"browser"</span><span class="op">)</span>,</span>
-<span>  encoding <span class="op">=</span> <span class="st">"UTF-8"</span>,</span>
-<span>  file <span class="op">=</span> <span class="cn">NULL</span></span>
-<span><span class="op">)</span></span></code></pre></div>
-    </div>
-
-    <div id="arguments">
-    <h2>Arguments</h2>
-    <dl><dt id="arg-x">x<a class="anchor" aria-label="anchor" href="#arg-x"></a></dt>
-<dd><p>A (grouped) data frame.</p></dd>
-
-
-<dt id="arg-dv">dv<a class="anchor" aria-label="anchor" href="#arg-dv"></a></dt>
-<dd><p>Name of the dependent variable, for which the mean value, grouped
-by <code>grp</code>, is computed.</p></dd>
-
-
-<dt id="arg-grp">grp<a class="anchor" aria-label="anchor" href="#arg-grp"></a></dt>
-<dd><p>Factor with the cross-classifying variable, where <code>dv</code> is
-grouped into the categories represented by <code>grp</code>. Numeric vectors
-are coerced to factors.</p></dd>
-
-
-<dt id="arg-weights">weights<a class="anchor" aria-label="anchor" href="#arg-weights"></a></dt>
-<dd><p>Name of variable in <code>x</code> that indicated the vector of
-weights that will be applied to weight all observations. Default is
-<code>NULL</code>, so no weights are used.</p></dd>
-
-
-<dt id="arg-digits">digits<a class="anchor" aria-label="anchor" href="#arg-digits"></a></dt>
-<dd><p>Numeric, amount of digits after decimal point when rounding
-estimates and values.</p></dd>
-
-
-<dt id="arg-out">out<a class="anchor" aria-label="anchor" href="#arg-out"></a></dt>
-<dd><p>Character vector, indicating whether the results should be printed
-to console (<code>out = "txt"</code>) or as HTML-table in the viewer-pane
-(<code>out = "viewer"</code>) or browser (<code>out = "browser"</code>), of if the
-results should be plotted (<code>out = "plot"</code>, only applies to certain
-functions). May be abbreviated.</p></dd>
-
-
-<dt id="arg-encoding">encoding<a class="anchor" aria-label="anchor" href="#arg-encoding"></a></dt>
-<dd><p>Character vector, indicating the charset encoding used
-for variable and value labels. Default is <code>"UTF-8"</code>. Only used
-when <code>out</code> is not <code>"txt"</code>.</p></dd>
-
-
-<dt id="arg-file">file<a class="anchor" aria-label="anchor" href="#arg-file"></a></dt>
-<dd><p>Destination file, if the output should be saved as file.
-Only used when <code>out</code> is not <code>"txt"</code>.</p></dd>
-
-</dl></div>
-    <div id="value">
-    <h2>Value</h2>
-    
-
-<p>For non-grouped data frames, <code>means_by_group()</code> returns a data frame with
-following columns: <code>term</code>, <code>mean</code>, <code>N</code>, <code>std.dev</code>,
-<code>std.error</code> and <code>p.value</code>. For grouped data frames, returns
-a list of such data frames.</p>
-    </div>
-    <div id="details">
-    <h2>Details</h2>
-    <p>This function performs a One-Way-Anova with <code>dv</code> as dependent
-and <code>grp</code> as independent variable, by calling
-<code>lm(count ~ as.factor(grp))</code>. Then <code><a href="https://rdrr.io/pkg/emmeans/man/contrast.html" class="external-link">contrast</a></code>
-is called to get p-values for each sub-group. P-values indicate whether
-each group-mean is significantly different from the total mean.</p>
-    </div>
-
-    <div id="ref-examples">
-    <h2>Examples</h2>
-    <div class="sourceCode"><pre class="sourceCode r"><code><span class="r-in"><span><span class="fu"><a href="https://rdrr.io/r/utils/data.html" class="external-link">data</a></span><span class="op">(</span><span class="va">efc</span><span class="op">)</span></span></span>
-<span class="r-in"><span><span class="fu">means_by_group</span><span class="op">(</span><span class="va">efc</span>, <span class="va">c12hour</span>, <span class="va">e42dep</span><span class="op">)</span></span></span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> <span style="color: #0000BB;"># Grouped Means for average number of hours of care per week by elder's dependency</span></span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> Category             |  Mean |   N |    SD |   SE |      p</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> ----------------------------------------------------------</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> independent          |  9.91 |  66 |  8.01 | 0.99 | &lt; .001</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> slightly dependent   | 17.54 | 225 | 17.74 | 1.18 | &lt; .001</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> moderately dependent | 34.52 | 306 | 41.54 | 2.37 |  0.983</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> severely dependent   | 75.90 | 304 | 61.72 | 3.54 | &lt; .001</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> Total                | 42.44 | 901 | 50.82 | 1.69 |       </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> Anova: R2=0.245; adj.R2=0.242; F=96.908; p=0.000</span>
-<span class="r-in"><span></span></span>
-<span class="r-in"><span><span class="fu"><a href="https://rdrr.io/r/utils/data.html" class="external-link">data</a></span><span class="op">(</span><span class="va">iris</span><span class="op">)</span></span></span>
-<span class="r-in"><span><span class="fu">means_by_group</span><span class="op">(</span><span class="va">iris</span>, <span class="va">Sepal.Width</span>, <span class="va">Species</span><span class="op">)</span></span></span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> <span style="color: #0000BB;"># Grouped Means for Sepal.Width by Species</span></span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> Category   | Mean |   N |   SD |   SE |      p</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> ----------------------------------------------</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> setosa     | 3.43 |  50 | 0.38 | 0.05 | &lt; .001</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> versicolor | 2.77 |  50 | 0.31 | 0.04 | &lt; .001</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> virginica  | 2.97 |  50 | 0.32 | 0.05 |  0.035</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> Total      | 3.06 | 150 | 0.44 | 0.04 |       </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> Anova: R2=0.401; adj.R2=0.393; F=49.160; p=0.000</span>
-<span class="r-in"><span></span></span>
-<span class="r-in"><span><span class="co"># also works for grouped data frames</span></span></span>
-<span class="r-in"><span><span class="kw">if</span> <span class="op">(</span><span class="kw"><a href="https://rdrr.io/r/base/library.html" class="external-link">require</a></span><span class="op">(</span><span class="st"><a href="https://dplyr.tidyverse.org" class="external-link">"dplyr"</a></span><span class="op">)</span><span class="op">)</span> <span class="op">{</span></span></span>
-<span class="r-in"><span>  <span class="va">efc</span> <span class="op"><a href="https://magrittr.tidyverse.org/reference/pipe.html" class="external-link">%&gt;%</a></span></span></span>
-<span class="r-in"><span>    <span class="fu"><a href="https://dplyr.tidyverse.org/reference/group_by.html" class="external-link">group_by</a></span><span class="op">(</span><span class="va">c172code</span><span class="op">)</span> <span class="op"><a href="https://magrittr.tidyverse.org/reference/pipe.html" class="external-link">%&gt;%</a></span></span></span>
-<span class="r-in"><span>    <span class="fu">means_by_group</span><span class="op">(</span><span class="va">c12hour</span>, <span class="va">e42dep</span><span class="op">)</span></span></span>
-<span class="r-in"><span><span class="op">}</span></span></span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> <span style="color: #00BBBB;">Grouped by:</span></span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> <span style="color: #00BBBB;">carer's level of education: low level of education</span></span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> <span style="color: #0000BB;"># Grouped Means for average number of hours of care per week by elder's dependency</span></span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> Category             |  Mean |   N |    SD |   SE |      p</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> ----------------------------------------------------------</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> independent          | 16.33 |  12 | 10.74 | 3.10 |  0.024</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> slightly dependent   | 15.38 |  42 |  9.55 | 1.47 | &lt; .001</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> moderately dependent | 42.05 |  61 | 46.53 | 5.96 |  0.696</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> severely dependent   | 85.52 |  65 | 56.42 | 7.00 | &lt; .001</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> Total                | 49.81 | 180 | 52.24 | 3.89 |       </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> Anova: R2=0.307; adj.R2=0.295; F=25.955; p=0.000</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> <span style="color: #00BBBB;">Grouped by:</span></span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> <span style="color: #00BBBB;">carer's level of education: intermediate level of education</span></span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> <span style="color: #0000BB;"># Grouped Means for average number of hours of care per week by elder's dependency</span></span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> Category             |  Mean |   N |    SD |   SE |      p</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> ----------------------------------------------------------</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> independent          |  7.96 |  45 |  3.91 | 0.58 | &lt; .001</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> slightly dependent   | 17.12 | 135 | 16.52 | 1.42 | &lt; .001</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> moderately dependent | 33.55 | 163 | 41.05 | 3.22 |  0.753</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> severely dependent   | 79.71 | 163 | 63.13 | 4.94 | &lt; .001</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> Total                | 41.76 | 506 | 51.42 | 2.29 |       </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> Anova: R2=0.284; adj.R2=0.280; F=66.374; p=0.000</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> <span style="color: #00BBBB;">Grouped by:</span></span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> <span style="color: #00BBBB;">carer's level of education: high level of education</span></span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> <span style="color: #0000BB;"># Grouped Means for average number of hours of care per week by elder's dependency</span></span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> Category             |  Mean |   N |    SD |   SE |      p</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> ----------------------------------------------------------</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> independent          | 15.20 |   5 | 18.43 | 8.24 |  0.363</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> slightly dependent   | 18.08 |  39 | 12.98 | 2.08 |  0.146</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> moderately dependent | 28.42 |  62 | 35.64 | 4.53 |  0.670</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> severely dependent   | 63.38 |  50 | 62.69 | 8.87 | &lt; .001</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> Total                | 36.62 | 156 | 46.38 | 3.71 |       </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> Anova: R2=0.167; adj.R2=0.151; F=10.155; p=0.000</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-in"><span></span></span>
-<span class="r-in"><span><span class="co"># weighting</span></span></span>
-<span class="r-in"><span><span class="va">efc</span><span class="op">$</span><span class="va">weight</span> <span class="op">&lt;-</span> <span class="fu"><a href="https://rdrr.io/r/base/MathFun.html" class="external-link">abs</a></span><span class="op">(</span><span class="fu"><a href="https://rdrr.io/r/stats/Normal.html" class="external-link">rnorm</a></span><span class="op">(</span>n <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/nrow.html" class="external-link">nrow</a></span><span class="op">(</span><span class="va">efc</span><span class="op">)</span>, mean <span class="op">=</span> <span class="fl">1</span>, sd <span class="op">=</span> <span class="fl">.5</span><span class="op">)</span><span class="op">)</span></span></span>
-<span class="r-in"><span><span class="fu">means_by_group</span><span class="op">(</span><span class="va">efc</span>, <span class="va">c12hour</span>, <span class="va">e42dep</span>, weights <span class="op">=</span> <span class="va">weight</span><span class="op">)</span></span></span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> <span style="color: #0000BB;"># Grouped Means for average number of hours of care per week by elder's dependency</span></span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> Category             |  Mean |   N |    SD |   SE |      p</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> ----------------------------------------------------------</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> independent          |  9.01 |  75 |  6.46 | 0.80 | &lt; .001</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> slightly dependent   | 18.02 | 241 | 18.22 | 1.21 | &lt; .001</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> moderately dependent | 35.12 | 305 | 42.98 | 2.46 |  0.978</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> severely dependent   | 78.06 | 303 | 62.80 | 3.60 | &lt; .001</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> Total                | 42.60 | 901 | 51.65 | 1.72 |       </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> Anova: R2=0.255; adj.R2=0.253; F=102.407; p=0.000</span>
-</code></pre></div>
-    </div>
-  </div>
-  <div class="col-md-3 hidden-xs hidden-sm" id="pkgdown-sidebar">
-    <nav id="toc" data-toggle="toc" class="sticky-top"><h2 data-toc-skip>Contents</h2>
-    </nav></div>
-</div>
-
-
-      <footer><div class="copyright">
-  <p></p><p>Developed by <a href="https://github.com/strengejacke" class="external-link">Daniel Lüdecke</a>.</p>
-</div>
-
-<div class="pkgdown">
-  <p></p><p>Site built with <a href="https://pkgdown.r-lib.org/" class="external-link">pkgdown</a> 2.0.9.9000.</p>
-</div>
-
-      </footer></div>
-
-  
-
-
-  
-
-  </body></html>
-
diff --git a/reference/mwu.html b/reference/mwu.html
deleted file mode 100644
index 6740631..0000000
--- a/reference/mwu.html
+++ /dev/null
@@ -1,268 +0,0 @@
-<!DOCTYPE html>
-<!-- Generated by pkgdown: do not edit by hand --><html lang="en"><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8"><meta charset="utf-8"><meta http-equiv="X-UA-Compatible" content="IE=edge"><meta name="viewport" content="width=device-width, initial-scale=1.0"><title>Mann-Whitney-U-Test — mwu • sjstats</title><!-- favicons --><link rel="icon" type="image/png" sizes="16x16" href="../favicon-16x16.png"><link rel="icon" type="image/png" sizes="32x32" href="../favicon-32x32.png"><link rel="apple-touch-icon" type="image/png" sizes="180x180" href="../apple-touch-icon.png"><link rel="apple-touch-icon" type="image/png" sizes="120x120" href="../apple-touch-icon-120x120.png"><link rel="apple-touch-icon" type="image/png" sizes="76x76" href="../apple-touch-icon-76x76.png"><link rel="apple-touch-icon" type="image/png" sizes="60x60" href="../apple-touch-icon-60x60.png"><!-- jquery --><script src="https://cdnjs.cloudflare.com/ajax/libs/jquery/3.7.1/jquery.min.js" integrity="sha512-v2CJ7UaYy4JwqLDIrZUI/4hqeoQieOmAZNXBeQyjo21dadnwR+8ZaIJVT8EE2iyI61OV8e6M8PP2/4hpQINQ/g==" crossorigin="anonymous" referrerpolicy="no-referrer"></script><!-- Bootstrap --><link href="https://cdnjs.cloudflare.com/ajax/libs/bootswatch/3.4.0/flatly/bootstrap.min.css" rel="stylesheet" crossorigin="anonymous"><script src="https://cdnjs.cloudflare.com/ajax/libs/twitter-bootstrap/3.4.1/js/bootstrap.min.js" integrity="sha256-nuL8/2cJ5NDSSwnKD8VqreErSWHtnEP9E7AySL+1ev4=" crossorigin="anonymous"></script><!-- bootstrap-toc --><link rel="stylesheet" href="../bootstrap-toc.css"><script src="../bootstrap-toc.js"></script><!-- Font Awesome icons --><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.12.1/css/all.min.css" integrity="sha256-mmgLkCYLUQbXn0B1SRqzHar6dCnv9oZFPEC1g1cwlkk=" crossorigin="anonymous"><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.12.1/css/v4-shims.min.css" integrity="sha256-wZjR52fzng1pJHwx4aV2AO3yyTOXrcDW7jBpJtTwVxw=" crossorigin="anonymous"><!-- clipboard.js --><script src="https://cdnjs.cloudflare.com/ajax/libs/clipboard.js/2.0.6/clipboard.min.js" integrity="sha256-inc5kl9MA1hkeYUt+EC3BhlIgyp/2jDIyBLS6k3UxPI=" crossorigin="anonymous"></script><!-- headroom.js --><script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.11.0/headroom.min.js" integrity="sha256-AsUX4SJE1+yuDu5+mAVzJbuYNPHj/WroHuZ8Ir/CkE0=" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.11.0/jQuery.headroom.min.js" integrity="sha256-ZX/yNShbjqsohH1k95liqY9Gd8uOiE1S4vZc+9KQ1K4=" crossorigin="anonymous"></script><!-- pkgdown --><link href="../pkgdown.css" rel="stylesheet"><script src="../pkgdown.js"></script><meta property="og:title" content="Mann-Whitney-U-Test — mwu"><meta property="og:description" content="This function performs a Mann-Whitney-U-Test (or Wilcoxon rank
-sum test for unpaired samples, see wilcox.test() and coin::wilcox_test())
-comparing x by each group indicated by grp. If grp has more than two
-categories, a comparison between each combination of two groups is performed.
-The function reports U, p and Z-values as well as effect size r and group-rank-means."><meta property="og:image" content="/logo.png"><!-- mathjax --><script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/MathJax.js" integrity="sha256-nvJJv9wWKEm88qvoQl9ekL2J+k/RWIsaSScxxlsrv8k=" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/config/TeX-AMS-MML_HTMLorMML.js" integrity="sha256-84DKXVJXs0/F8OTMzX4UR909+jtl4G7SPypPavF+GfA=" crossorigin="anonymous"></script><!--[if lt IE 9]>
-<script src="https://oss.maxcdn.com/html5shiv/3.7.3/html5shiv.min.js"></script>
-<script src="https://oss.maxcdn.com/respond/1.4.2/respond.min.js"></script>
-<![endif]--></head><body data-spy="scroll" data-target="#toc">
-    
-
-    <div class="container template-reference-topic">
-      <header><div class="navbar navbar-default navbar-fixed-top" role="navigation">
-  <div class="container">
-    <div class="navbar-header">
-      <button type="button" class="navbar-toggle collapsed" data-toggle="collapse" data-target="#navbar" aria-expanded="false">
-        <span class="sr-only">Toggle navigation</span>
-        <span class="icon-bar"></span>
-        <span class="icon-bar"></span>
-        <span class="icon-bar"></span>
-      </button>
-      <span class="navbar-brand">
-        <a class="navbar-link" href="../index.html">sjstats</a>
-        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="">0.18.2</span>
-      </span>
-    </div>
-
-    <div id="navbar" class="navbar-collapse collapse">
-      <ul class="nav navbar-nav"><li>
-  <a href="../index.html">
-    <span class="fa fa-home fa-lg"></span>
-     
-  </a>
-</li>
-<li>
-  <a href="../news/index.html">News</a>
-</li>
-<li>
-  <a href="../reference/index.html">Reference</a>
-</li>
-      </ul><ul class="nav navbar-nav navbar-right"><li>
-  <a href="https://github.com/strengejacke/sjstats/" class="external-link">
-    <span class="fab fa-github fa-lg"></span>
-     
-  </a>
-</li>
-      </ul></div><!--/.nav-collapse -->
-  </div><!--/.container -->
-</div><!--/.navbar -->
-
-      
-
-      </header><div class="row">
-  <div class="col-md-9 contents">
-    <div class="page-header">
-    <h1>Mann-Whitney-U-Test</h1>
-    <small class="dont-index">Source: <a href="https://github.com/strengejacke/sjstats/blob/HEAD/R/mwu.R" class="external-link"><code>R/mwu.R</code></a></small>
-    <div class="hidden name"><code>mwu.Rd</code></div>
-    </div>
-
-    <div class="ref-description">
-    <p>This function performs a Mann-Whitney-U-Test (or Wilcoxon rank
-sum test for <em>unpaired</em> samples, see <code><a href="https://rdrr.io/r/stats/wilcox.test.html" class="external-link">wilcox.test()</a></code> and <code><a href="https://rdrr.io/pkg/coin/man/LocationTests.html" class="external-link">coin::wilcox_test()</a></code>)
-comparing <code>x</code> by each group indicated by <code>grp</code>. If <code>grp</code> has more than two
-categories, a comparison between each combination of two groups is performed.</p>
-<p>The function reports U, p and Z-values as well as effect size r and group-rank-means.</p>
-    </div>
-
-    <div id="ref-usage">
-    <div class="sourceCode"><pre class="sourceCode r"><code><span><span class="fu">mwu</span><span class="op">(</span><span class="va">data</span>, <span class="va">...</span><span class="op">)</span></span>
-<span></span>
-<span><span class="co"># Default S3 method</span></span>
-<span><span class="fu">mwu</span><span class="op">(</span></span>
-<span>  <span class="va">data</span>,</span>
-<span>  <span class="va">x</span>,</span>
-<span>  <span class="va">grp</span>,</span>
-<span>  distribution <span class="op">=</span> <span class="st">"asymptotic"</span>,</span>
-<span>  out <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"txt"</span>, <span class="st">"viewer"</span>, <span class="st">"browser"</span><span class="op">)</span>,</span>
-<span>  encoding <span class="op">=</span> <span class="st">"UTF-8"</span>,</span>
-<span>  file <span class="op">=</span> <span class="cn">NULL</span>,</span>
-<span>  <span class="va">...</span></span>
-<span><span class="op">)</span></span>
-<span></span>
-<span><span class="co"># S3 method for class 'formula'</span></span>
-<span><span class="fu">mwu</span><span class="op">(</span></span>
-<span>  <span class="va">formula</span>,</span>
-<span>  <span class="va">data</span>,</span>
-<span>  distribution <span class="op">=</span> <span class="st">"asymptotic"</span>,</span>
-<span>  out <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"txt"</span>, <span class="st">"viewer"</span>, <span class="st">"browser"</span><span class="op">)</span>,</span>
-<span>  encoding <span class="op">=</span> <span class="st">"UTF-8"</span>,</span>
-<span>  file <span class="op">=</span> <span class="cn">NULL</span>,</span>
-<span>  <span class="va">...</span></span>
-<span><span class="op">)</span></span>
-<span></span>
-<span><span class="fu">mannwhitney</span><span class="op">(</span><span class="va">data</span>, <span class="va">...</span><span class="op">)</span></span></code></pre></div>
-    </div>
-
-    <div id="arguments">
-    <h2>Arguments</h2>
-    <dl><dt id="arg-data">data<a class="anchor" aria-label="anchor" href="#arg-data"></a></dt>
-<dd><p>A data frame.</p></dd>
-
-
-<dt id="arg--">...<a class="anchor" aria-label="anchor" href="#arg--"></a></dt>
-<dd><p>For <code><a href="weighted_sd.html">weighted_ttest()</a></code> and <code><a href="weighted_sd.html">weighted_mannwhitney()</a></code>, currently not used.
-For <code><a href="weighted_sd.html">weighted_chisqtest()</a></code>, further arguments passed down to
-<code><a href="https://rdrr.io/r/stats/chisq.test.html" class="external-link">chisq.test</a></code>.</p></dd>
-
-
-<dt id="arg-x">x<a class="anchor" aria-label="anchor" href="#arg-x"></a></dt>
-<dd><p>Bare (unquoted) variable name, or a character vector with the variable name.</p></dd>
-
-
-<dt id="arg-grp">grp<a class="anchor" aria-label="anchor" href="#arg-grp"></a></dt>
-<dd><p>Bare (unquoted) name of the cross-classifying variable, where
-<code>x</code> is grouped into the categories represented by <code>grp</code>,
-or a character vector with the variable name.</p></dd>
-
-
-<dt id="arg-distribution">distribution<a class="anchor" aria-label="anchor" href="#arg-distribution"></a></dt>
-<dd><p>Indicates how the null distribution of the test statistic
-should be computed. May be one of <code>"exact"</code>, <code>"approximate"</code> or <code>"asymptotic"</code>
-(default). See <code><a href="https://rdrr.io/pkg/coin/man/LocationTests.html" class="external-link">coin::wilcox_test()</a></code> for details.</p></dd>
-
-
-<dt id="arg-out">out<a class="anchor" aria-label="anchor" href="#arg-out"></a></dt>
-<dd><p>Character vector, indicating whether the results should be printed
-to console (<code>out = "txt"</code>) or as HTML-table in the viewer-pane
-(<code>out = "viewer"</code>) or browser (<code>out = "browser"</code>), of if the
-results should be plotted (<code>out = "plot"</code>, only applies to certain
-functions). May be abbreviated.</p></dd>
-
-
-<dt id="arg-encoding">encoding<a class="anchor" aria-label="anchor" href="#arg-encoding"></a></dt>
-<dd><p>Character vector, indicating the charset encoding used
-for variable and value labels. Default is <code>"UTF-8"</code>. Only used
-when <code>out</code> is not <code>"txt"</code>.</p></dd>
-
-
-<dt id="arg-file">file<a class="anchor" aria-label="anchor" href="#arg-file"></a></dt>
-<dd><p>Destination file, if the output should be saved as file.
-Only used when <code>out</code> is not <code>"txt"</code>.</p></dd>
-
-
-<dt id="arg-formula">formula<a class="anchor" aria-label="anchor" href="#arg-formula"></a></dt>
-<dd><p>A formula of the form <code>lhs ~ rhs1 + rhs2</code> where <code>lhs</code> is a
-numeric variable giving the data values and <code>rhs1</code> a factor with two
-levels giving the corresponding groups and <code>rhs2</code> a variable with weights.</p></dd>
-
-</dl></div>
-    <div id="value">
-    <h2>Value</h2>
-    
-
-<p>(Invisibly) returns a data frame with U, p and Z-values for each group-comparison
-as well as effect-size r; additionally, group-labels and groups' n's are
-also included.</p>
-    </div>
-    <div id="note">
-    <h2>Note</h2>
-    <p>This function calls the <code><a href="https://rdrr.io/pkg/coin/man/LocationTests.html" class="external-link">wilcox_test</a></code> with formula. If <code>grp</code>
-has more than two groups, additionally a Kruskal-Wallis-Test (see <code><a href="https://rdrr.io/r/stats/kruskal.test.html" class="external-link">kruskal.test</a></code>)
-is performed. <br><br>
-Interpretation of effect sizes, as a rule-of-thumb:</p><ul><li><p>small effect &gt;= 0.1</p></li>
-<li><p>medium effect &gt;= 0.3</p></li>
-<li><p>large effect &gt;= 0.5</p></li>
-</ul></div>
-
-    <div id="ref-examples">
-    <h2>Examples</h2>
-    <div class="sourceCode"><pre class="sourceCode r"><code><span class="r-in"><span><span class="fu"><a href="https://rdrr.io/r/utils/data.html" class="external-link">data</a></span><span class="op">(</span><span class="va">efc</span><span class="op">)</span></span></span>
-<span class="r-in"><span><span class="co"># Mann-Whitney-U-Tests for elder's age by elder's sex.</span></span></span>
-<span class="r-in"><span><span class="fu">mwu</span><span class="op">(</span><span class="va">efc</span>, <span class="va">e17age</span>, <span class="va">e16sex</span><span class="op">)</span></span></span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> <span style="color: #0000BB;"># Mann-Whitney-U-Test</span></span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> <span style="color: #00BBBB;">Groups 1 = male (n = 294) | 2 = female (n = 596):</span></span>
-<span class="r-out co"><span class="r-pr">#&gt;</span>   U = 103049.000, W = 59684.000, p &lt; .001, Z = -7.748</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span>   effect-size r =   0.260</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span>    rank-mean(1) = 350.51</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span>    rank-mean(2) = 492.36</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-in"><span></span></span>
-<span class="r-in"><span><span class="co"># using formula interface</span></span></span>
-<span class="r-in"><span><span class="fu">mwu</span><span class="op">(</span><span class="va">e17age</span> <span class="op">~</span> <span class="va">e16sex</span>, <span class="va">efc</span><span class="op">)</span></span></span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> <span style="color: #0000BB;"># Mann-Whitney-U-Test</span></span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> <span style="color: #00BBBB;">Groups 1 = male (n = 294) | 2 = female (n = 596):</span></span>
-<span class="r-out co"><span class="r-pr">#&gt;</span>   U = 103049.000, W = 59684.000, p &lt; .001, Z = -7.748</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span>   effect-size r =   0.260</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span>    rank-mean(1) = 350.51</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span>    rank-mean(2) = 492.36</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-in"><span></span></span>
-<span class="r-in"><span><span class="co"># Mann-Whitney-Tests for elder's age by each level elder's dependency.</span></span></span>
-<span class="r-in"><span><span class="fu">mwu</span><span class="op">(</span><span class="va">efc</span>, <span class="va">e17age</span>, <span class="va">e42dep</span><span class="op">)</span></span></span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> <span style="color: #0000BB;"># Mann-Whitney-U-Test</span></span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> <span style="color: #00BBBB;">Groups 1 = independent (n = 65) | 2 = slightly dependent (n = 224):</span></span>
-<span class="r-out co"><span class="r-pr">#&gt;</span>   U = 7635.000, W = 5490.000, p = 0.003, Z = -3.020</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span>   effect-size r =   0.178</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span>    rank-mean(1) = 117.46</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span>    rank-mean(2) = 152.99</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> <span style="color: #00BBBB;">Groups 1 = independent (n = 65) | 3 = moderately dependent (n = 304):</span></span>
-<span class="r-out co"><span class="r-pr">#&gt;</span>   U = 8692.000, W = 6547.000, p &lt; .001, Z = -4.273</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span>   effect-size r =   0.222</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span>    rank-mean(1) = 133.72</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span>    rank-mean(3) = 195.96</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> <span style="color: #00BBBB;">Groups 1 = independent (n = 65) | 4 = severely dependent (n = 297):</span></span>
-<span class="r-out co"><span class="r-pr">#&gt;</span>   U = 7905.500, W = 5760.500, p &lt; .001, Z = -5.096</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span>   effect-size r =   0.268</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span>    rank-mean(1) = 121.62</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span>    rank-mean(4) = 194.60</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> <span style="color: #00BBBB;">Groups 2 = slightly dependent (n = 224) | 3 = moderately dependent (n = 304):</span></span>
-<span class="r-out co"><span class="r-pr">#&gt;</span>   U = 54664.500, W = 29464.500, p = 0.008, Z = -2.647</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span>   effect-size r =   0.115</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span>    rank-mean(2) = 244.04</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span>    rank-mean(3) = 279.58</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> <span style="color: #00BBBB;">Groups 2 = slightly dependent (n = 224) | 4 = severely dependent (n = 297):</span></span>
-<span class="r-out co"><span class="r-pr">#&gt;</span>   U = 51007.500, W = 25807.500, p &lt; .001, Z = -4.386</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span>   effect-size r =   0.192</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span>    rank-mean(2) = 227.71</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span>    rank-mean(4) = 286.11</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> <span style="color: #00BBBB;">Groups 3 = moderately dependent (n = 304) | 4 = severely dependent (n = 297):</span></span>
-<span class="r-out co"><span class="r-pr">#&gt;</span>   U = 87819.500, W = 41459.500, p = 0.083, Z = -1.732</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span>   effect-size r =   0.071</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span>    rank-mean(3) = 288.88</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span>    rank-mean(4) = 313.41</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> <span style="color: #0000BB;"># Kruskal-Wallis-Test</span></span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> chi-squared = 38.476</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> df = 3</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> p &lt; .001*** </span>
-<span class="r-in"><span></span></span>
-</code></pre></div>
-    </div>
-  </div>
-  <div class="col-md-3 hidden-xs hidden-sm" id="pkgdown-sidebar">
-    <nav id="toc" data-toggle="toc" class="sticky-top"><h2 data-toc-skip>Contents</h2>
-    </nav></div>
-</div>
-
-
-      <footer><div class="copyright">
-  <p></p><p>Developed by <a href="https://github.com/strengejacke" class="external-link">Daniel Lüdecke</a>.</p>
-</div>
-
-<div class="pkgdown">
-  <p></p><p>Site built with <a href="https://pkgdown.r-lib.org/" class="external-link">pkgdown</a> 2.0.9.9000.</p>
-</div>
-
-      </footer></div>
-
-  
-
-
-  
-
-  </body></html>
-
diff --git a/reference/r2.html b/reference/r2.html
index c0cb143..03ce079 100644
--- a/reference/r2.html
+++ b/reference/r2.html
@@ -77,7 +77,11 @@ <h1>Deprecated functions</h1>
 <span></span>
 <span><span class="fu">p_value</span><span class="op">(</span><span class="va">x</span>, <span class="va">...</span><span class="op">)</span></span>
 <span></span>
-<span><span class="fu">se</span><span class="op">(</span><span class="va">x</span>, <span class="va">...</span><span class="op">)</span></span></code></pre></div>
+<span><span class="fu">se</span><span class="op">(</span><span class="va">x</span>, <span class="va">...</span><span class="op">)</span></span>
+<span></span>
+<span><span class="fu">means_by_group</span><span class="op">(</span><span class="va">x</span>, <span class="va">...</span><span class="op">)</span></span>
+<span></span>
+<span><span class="fu">mean_n</span><span class="op">(</span><span class="va">x</span>, <span class="va">...</span><span class="op">)</span></span></code></pre></div>
     </div>
 
     <div id="arguments">
diff --git a/reference/weighted_sd.html b/reference/weighted_sd.html
index 2231343..46f6a8b 100644
--- a/reference/weighted_sd.html
+++ b/reference/weighted_sd.html
@@ -64,7 +64,7 @@
   <div class="col-md-9 contents">
     <div class="page-header">
     <h1>Weighted statistics for tests and variables</h1>
-    <small class="dont-index">Source: <a href="https://github.com/strengejacke/sjstats/blob/HEAD/R/svy_median.R" class="external-link"><code>R/svy_median.R</code></a>, <a href="https://github.com/strengejacke/sjstats/blob/HEAD/R/wtd_chisqtest.R" class="external-link"><code>R/wtd_chisqtest.R</code></a>, <a href="https://github.com/strengejacke/sjstats/blob/HEAD/R/wtd_cor.R" class="external-link"><code>R/wtd_cor.R</code></a>, and 6 more</small>
+    <small class="dont-index">Source: <a href="https://github.com/strengejacke/sjstats/blob/HEAD/R/svy_median.R" class="external-link"><code>R/svy_median.R</code></a>, <a href="https://github.com/strengejacke/sjstats/blob/HEAD/R/wtd_cor.R" class="external-link"><code>R/wtd_cor.R</code></a>, <a href="https://github.com/strengejacke/sjstats/blob/HEAD/R/wtd_mean.R" class="external-link"><code>R/wtd_mean.R</code></a>, and 5 more</small>
     <div class="hidden name"><code>weighted_sd.Rd</code></div>
     </div>
 
@@ -86,14 +86,6 @@ <h1>Weighted statistics for tests and variables</h1>
     <div id="ref-usage">
     <div class="sourceCode"><pre class="sourceCode r"><code><span><span class="fu">survey_median</span><span class="op">(</span><span class="va">x</span>, <span class="va">design</span><span class="op">)</span></span>
 <span></span>
-<span><span class="fu">weighted_chisqtest</span><span class="op">(</span><span class="va">data</span>, <span class="va">...</span><span class="op">)</span></span>
-<span></span>
-<span><span class="co"># Default S3 method</span></span>
-<span><span class="fu">weighted_chisqtest</span><span class="op">(</span><span class="va">data</span>, <span class="va">x</span>, <span class="va">y</span>, <span class="va">weights</span>, <span class="va">...</span><span class="op">)</span></span>
-<span></span>
-<span><span class="co"># S3 method for class 'formula'</span></span>
-<span><span class="fu">weighted_chisqtest</span><span class="op">(</span><span class="va">formula</span>, <span class="va">data</span>, <span class="va">...</span><span class="op">)</span></span>
-<span></span>
 <span><span class="fu">weighted_correlation</span><span class="op">(</span><span class="va">data</span>, <span class="va">...</span><span class="op">)</span></span>
 <span></span>
 <span><span class="co"># Default S3 method</span></span>
@@ -183,16 +175,16 @@ <h2>Arguments</h2>
 unweighted statistic is reported.</p></dd>
 
 
+<dt id="arg-ci-lvl">ci.lvl<a class="anchor" aria-label="anchor" href="#arg-ci-lvl"></a></dt>
+<dd><p>Confidence level of the interval.</p></dd>
+
+
 <dt id="arg-formula">formula<a class="anchor" aria-label="anchor" href="#arg-formula"></a></dt>
 <dd><p>A formula of the form <code>lhs ~ rhs1 + rhs2</code> where <code>lhs</code> is a
 numeric variable giving the data values and <code>rhs1</code> a factor with two
 levels giving the corresponding groups and <code>rhs2</code> a variable with weights.</p></dd>
 
 
-<dt id="arg-ci-lvl">ci.lvl<a class="anchor" aria-label="anchor" href="#arg-ci-lvl"></a></dt>
-<dd><p>Confidence level of the interval.</p></dd>
-
-
 <dt id="arg-grp">grp<a class="anchor" aria-label="anchor" href="#arg-grp"></a></dt>
 <dd><p>Bare (unquoted) name of the cross-classifying variable, where
 <code>x</code> is grouped into the categories represented by <code>grp</code>,
@@ -223,7 +215,7 @@ <h2>Value</h2>
     <div id="note">
     <h2>Note</h2>
     <p><code>weighted_chisq()</code> is a convenient wrapper for <code><a href="crosstable_statistics.html">crosstable_statistics</a></code>.
-For a weighted one-way Anova, use <code><a href="means_by_group.html">means_by_group()</a></code> with
+For a weighted one-way Anova, use <code><a href="r2.html">means_by_group()</a></code> with
 <code>weights</code>-argument.
 <br><br><code>weighted_ttest()</code> assumes unequal variance between the two groups.</p>
     </div>
@@ -298,45 +290,6 @@ <h2>Examples</h2>
 <span class="r-out co"><span class="r-pr">#&gt;</span>   mean in group [2] female: 80.518</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span>   difference of mean      : -4.117 [-5.201  -3.034]</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-in"><span></span></span>
-<span class="r-in"><span><span class="co"># weighted Mann-Whitney-U-test ----</span></span></span>
-<span class="r-in"><span><span class="fu">weighted_mannwhitney</span><span class="op">(</span><span class="va">c12hour</span> <span class="op">~</span> <span class="va">c161sex</span> <span class="op">+</span> <span class="va">weight</span>, <span class="va">efc</span><span class="op">)</span></span></span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> <span style="color: #0000BB;"># Weighted Mann-Whitney-U test</span></span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> <span style="color: #00BBBB;">  comparison of c12hour by c161sex</span></span>
-<span class="r-out co"><span class="r-pr">#&gt;</span>   Chisq=3.26  df=899  p-value=0.001</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-in"><span></span></span>
-<span class="r-in"><span><span class="co"># weighted Chi-squared-test ----</span></span></span>
-<span class="r-in"><span><span class="fu">weighted_chisqtest</span><span class="op">(</span><span class="va">efc</span>, <span class="va">c161sex</span>, <span class="va">e16sex</span>, weights <span class="op">=</span> <span class="va">weight</span>, correct <span class="op">=</span> <span class="cn">FALSE</span><span class="op">)</span></span></span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> <span style="color: #0000BB;"># Measure of Association for Contingency Tables</span></span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span>    Chi-squared: 2.0566</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span>            Phi: 0.0479</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span>             df: 1</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span>        p-value: 0.152</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span>   Observations: 895</span>
-<span class="r-in"><span><span class="fu">weighted_chisqtest</span><span class="op">(</span><span class="va">c172code</span> <span class="op">~</span> <span class="va">c161sex</span> <span class="op">+</span> <span class="va">weight</span>, <span class="va">efc</span><span class="op">)</span></span></span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> <span style="color: #0000BB;"># Measure of Association for Contingency Tables</span></span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span>    Chi-squared: 4.8005</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span>     Cramer's V: 0.0758</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span>             df: 2</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span>        p-value: 0.091</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span>   Observations: 835</span>
-<span class="r-in"><span></span></span>
-<span class="r-in"><span><span class="co"># weighted Chi-squared-test for given probabilities ----</span></span></span>
-<span class="r-in"><span><span class="fu">weighted_chisqtest</span><span class="op">(</span><span class="va">c172code</span> <span class="op">~</span> <span class="va">weight</span>, <span class="va">efc</span>, p <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="fl">.33</span>, <span class="fl">.33</span>, <span class="fl">.34</span><span class="op">)</span><span class="op">)</span></span></span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> <span style="color: #0000BB;"># Weighted chi-squared test for given probabilities</span></span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span>    Chi-squared: 280.2808</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span>             df: 2</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span>        p-value: &lt; .001***</span>
-<span class="r-out co"><span class="r-pr">#&gt;</span>   Observations: 908</span>
 </code></pre></div>
     </div>
   </div>
diff --git a/sitemap.xml b/sitemap.xml
index 0bfee0c..c3af12a 100644
--- a/sitemap.xml
+++ b/sitemap.xml
@@ -30,6 +30,9 @@
   <url>
     <loc>/reference/bootstrap.html</loc>
   </url>
+  <url>
+    <loc>/reference/chi_squared_test.html</loc>
+  </url>
   <url>
     <loc>/reference/chisq_gof.html</loc>
   </url>
@@ -64,13 +67,10 @@
     <loc>/reference/is_prime.html</loc>
   </url>
   <url>
-    <loc>/reference/mean_n.html</loc>
-  </url>
-  <url>
-    <loc>/reference/means_by_group.html</loc>
+    <loc>/reference/kruskal_wallis_test.html</loc>
   </url>
   <url>
-    <loc>/reference/mwu.html</loc>
+    <loc>/reference/mann_whitney_test.html</loc>
   </url>
   <url>
     <loc>/reference/nhanes_sample.html</loc>