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When Testing Several Categorical Variables, Which Is the Appropriate Test

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When testing several categorical variables, which is the appropriate test of relationship?


Definitions:

Analysis of Variance

A statistical method used to compare means and variances between two or more groups to determine if there are significant differences.

Factorial ANOVA

A statistical test used to examine the effects of two or more independent variables on a dependent variable, including interaction effects between them.

Interaction

In statistics, the way in which two or more variables are related to each other and the effect they have on the outcome of interest.

Simple ANOVA

A statistical method used to compare the means of three or more samples to determine if they come from the same population.

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