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[Shiny App] Testing Violation of the Constant Variance Condition for ANOVA

[Shiny App] Testing Violation of the Constant Variance Condition for ANOVA

The ANOVA F-test is used to test for difference in means between groups, and requires the conditions of normality (or large sample size), independence, and constant variance. A common rule of thumb for the constant variance condition is that the ratio of largest to smallest standard deviation is less than or equal to two. This application implements a user-guided simulation study to assess the consequences of non-constant variance on the Type I error rate of the ANOVA F-test. The application enables the user to visualize data with different standard deviations, reinforces the concepts of sampling distribution, null distribution, and Type I error, and allows the user to uncover a rule of thumb for the constant variance condition. At left, the user specifies standard deviations for three... Show More

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