Second Order Rao-Scott Test of Independence of a Contingency Table

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The Second Order Rao-Scott Test of Independence of a Contingency Tables[1] is a generalization of Pearson's Chi-Square Test of Independence for Contingency Tables for complex samples (e.g., when weights are applied to a table). In Q, it is only performed for 2×2 tables where Design effect is set to Auto or Taylor series linearization with Pearson's Chi-Square Test of Independence using Weight Calibration used in other situations.

This test is used by Q whenever there is a weight and Q is conducting a test of significance on the cells of a table (either Column Comparisons or Cell Comparisons) where the rows and columns are either Pick One, Pick Any, Pick Any - Compact or Date questions.

Where Weights are used, the standard error is computed using a Taylor series linearization, with an additional adjusting for Extra Deff if required

See also

References

  1. Rao, J. N. K. and A. J. Scott (1984). 'On Chi-Squared Tests for Multiway Contingency Tables with Cell Proportions Estimated from Survey Data.' The Annals of Statistics 14.