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Post Hoc Tests

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Consider the different post hoc tests discussed in the readings and respond to the following:

Describe the general rationale behind using post hoc tests (i.e., when they are used and why).

One of the advantages of using an ANOVA (compared to using t-tests) is also a disadvantage‚ÄĒusing an ANOVA makes it necessary to use post hoc tests if there is a significant main effect. We use a post hoc test because there is one specific advantage in using an ANOVA. Explain why using an ANOVA naturally leads to the need to have post hoc tests (hint: consider what you are examining when you conduct a post hoc analysis).

Conducting a post hoc test is similar to conducting multiple t-tests. As a result, it would seem natural to want to bypass the ANOVA and just use repeated t-tests. Explain why this approach is not necessarily a good idea and why an ANOVA followed by a post hoc analysis is beneficial.

Describe an experimental hypothesis and explain which post hoc test you would use if you find a significant overall effect. Include in your explanation the pros and cons of each test in making your decision.

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Solution Summary

This solution is comprised of a detailed explanation of One-way analysis of variance (ANOVA) and post hoc tests. This solution mainly discussed the below questions:
Describe the general rationale behind using post hoc tests (i.e., when they are used and why).

Describe an experimental hypothesis and explain which post hoc test you would use if you find a significant overall effect. Include in your explanation the pros and cons of each test in making your decision.

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