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—using 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.
Sample Solution