# background for ANOVAs and t-tests

Can you help me answer these questions

What is the theory underlying ANOVA? Why is it important? What are the differences between a two sample t-test and ANOVA hypothesis testing?

Why do we use nonparametric tests?

Describe a psychological research situation or scenario that would use a nonparametric test. Why would the nonparametric test be used?

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#### Solution Preview

ANOVA vs t-test

An ANOVA is closely related to a t-test in that a t-test looks at the difference between the means of two groups (two samples) while an ANOVA looks at the difference of means between three or more groups. This is important because a t-test cannot be used to investigate differences among three or more groups. In order to do this, you need to make A LOT of different t-test calculations and, in doing so, your chance for a Type I error increases. So the theory underlying these two procedures is the same (test ...

#### Solution Summary

ANOVAs and t-tests are studied. Describe a psychological research situation or scenario that would use a nonparametric test. Why would the nonparametric test be used?