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Update tech_details.Rmd
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haziqj committed Apr 14, 2023
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Expand Up @@ -294,10 +294,10 @@ We summarise the various weight matrices that we use in this R package:
| | Name | Weight ($\bXi$) | D.f. | R function | Remarks |
|---|-------------|---------------------|-------|---------------------|-----------------------------------|
| 1 | Wald | $\bOmega_2^+$ | $S-m$ | `Wald_test()` | $\bOmega_2$ may be rank deficient |
| 2 | Wald V2 | $\diag(\bOmega_2^+)$ | est. | `Wald_test_v2()` | $\bOmega_2$ need not be inverted |
| 2 | Wald V2 | $\diag(\bOmega_2^+)^{-1}$ | est. | `Wald_test_v2()` | $\bOmega_2$ need not be inverted |
| 3 | Wald V3 | $\bXi\bOmega_2\bXi$ | $S-m$ | `Wald_test_v3()` | $\bOmega_2$ need not be estimated |
| 4 | Pearson | $\bD^{-1}$ | est. | `Pearson_test_v1()` | Rao-Scott adjustment |
| 5 | Pearson V2 | $\bD^{-1}$ | est. | `Pearson_test_v2()` | Moment matching |
| 4 | Pearson | $\diag(\bpi_2)^{-1}$ | est. | `Pearson_test_v1()` | Rao-Scott adjustment |
| 5 | Pearson V2 | $\diag(\bpi_2)^{-1}$ | est. | `Pearson_test_v2()` | Moment matching |
| 6 | RSS | $\bI$ | est. | `RSS_test()` | |
| 7 | Multinomial | $\bSigma_2^{-1}$ | est. | `Multn_test()` | |

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