# Independent Sample Tests - Comparing Two Proportions

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:

- Multiple comparison correction=
**Fisher LSD**: Multiple Comparisons t-Test (Fisher LSD) - Multiple comparison correction=
**Tukey HSD**: Tukey HSD - Multiple comparison correction=
**Dunnett**: Dunnett’s Pairwise Multiple Comparison - Multiple comparison correction=
**Duncan**: Duncan’s New Multiple Range Test - Multiple comparison correction=
**Bonferroni (Pooled t-Test)**: Multiple Comparisons t-Test with Bonferroni Correction - Multiple comparison correction=
**Newman-Keuls (S-N-K)**: Newman-Keuls (S-N-K) - Multiple comparison correction=
**False Discovery Rate (pooled t-test)**: Multiple Comparisons t-Test with False Discovery Rate Correction

Else:

- Proportions =
**Non-parametric**

- 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

- Proportions =
**z-test**:

- Data is not weighted: Independent Samples Z-Test - Comparing Two Proportions
- Data is weighted:Independent Complex Samples Z-Test - Comparing Two Proportions

- Proportions =
**t-test**:

- Data is not weighted: Independent Samples T-Test - Comparing Two Proportions
- Data is weighted: Independent Complex Samples T-Test - Comparing Two Proportions

- Proportions =
**Quantum Proportions**: Independent Samples - Quantum Column Proportions Test - Proportions =
**Survey Reporter Proportions**: Independent Samples - Survey Reporter Column Proportions Test