Independent Sample Tests - Comparing Two Proportions

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The tests employed depend upon:

  • Whether a weight is or is not applied (or, equivalently, a design effect has been specified).
  • Settings in Statistical Assumptions (in addition to the settings below, tests are not conducted when a group has a sample size less than the number specified in Minimal sample size for testing).

If viewing Column Comparisons and an ANOVA-Based Column Comparison test has been selected in Multiple comparison correction then the following tests are performed where the proportion is represented as a vector of 1s and 0s:

Else:

Data is not weighted: Pearson's Chi-Square Test of Independence
Data is weighted: Second Order Rao-Scott Test of Independence of a Contingency Table
Data is not weighted: Independent Samples Z-Test - Comparing Two Proportions
Data is weighted:Independent Complex Samples Z-Test - Comparing Two Proportions
Data is not weighted: Independent Samples T-Test - Comparing Two Proportions
Data is weighted: Independent Complex Samples T-Test - Comparing Two Proportions

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