Paired Sample T-test

This repository will explain about paired sample t-test, the test procedure and how to use it using Scipy library of Python.

Definition

Paired Sample T-test is s a hypothesis testing conducted to determine whether the mean of the same sample group has a significant difference. The test is commonly used for the following scenarios:

• Measurements of samples before and after treatment – e.g. the max vertical jump of basketball players is measured before and after enrolling in a training program.
• Measurement of samples against two different conditions - e.g. the response time of a patient is measured on two different drugs.

Procedure

• Determine the hypothesis
  Null Hypothesis     (H₀): μ₁ = μ₂
  Alternate Hypothesis (H₁): μ₁ ≠ μ₂
• Define the significance level α α = 0.05
  
• Define the rejection criteria
  'Reject H₀ if p-value < α'
  
• Perform test statistics
  
• Draw conclusion