Discussion Question: What is a post-hoc test and why it is necessary when rejecting the null hypothesis with an analysis of variance (ANOVA) statistical test? Describe what a post hoc test detects. Explain an experiment in which you as a researcher would run a post hoc test. Why?

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Delanna said:

"Statistical analysis that were specified after the data were seen is known as a post hoc analysis. Because each conceivable analysis is effectively a statistical test, this usually leads to a many testing problem. The test are used to uncover specific differences between three or more group means when an analysis of variance ANOVA test is significant."

Samuel said:

A Post hoc test is identified as an additional hypothesis test that is done after you used an ANOVA to find out which mean differences are significant and which are not (Gravetter, Wallnau, Forzano, & Witnauer, 2021). The post hoc test is necessary when rejecting the null hypothesis because it provides you with the information as to what the actual differences are between multiple groups means. ANOVA lack the data that shows the significant differences between multiple groups means. By doing the post hoc test, you are able to detect errors that you would not have caught from ANOVA.