Tests needed for repeated measures within groups 2*2 design? I've recently conducted an experiment with two independent variables: musictype and wordtype, measured by response time. 20 participants. I've done a one-way repeated measures ANOVA along with the usual tests of normality, means etc. Do I need to include a t-test? Am I missing any other important tests?
Many thanks in advance! 
 A: Here is a resource you might want to look at. It is provided by a vendor - NCSS - that I don't use. That said, was looking at their products on the weekend. Even though you likely don't use their software, you can get a good idea of how to analyze a repeated measures 2 x 2 design & how to review the tests. The document is called: Tests for Two Means in a Repeated Measures Design. 
As they note in the summary, to clarify the definition for unfamiliar users: "A repeated measures design is one in which subjects are observed repeatedly over time. Measurements may be taken at pre-determined intervals (e.g. weekly or at specified time points following the administration of a particular treatment), or at random times so there are variable intervals between repeated measurements."
If you are looking for tactical guidance, and happen to use R, you might want to have a look at this excellent R tutorial. In this tutorial, you will see a few relevant tests completed, including:


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*The Friedman Rank Sum Test

*Pairwise t-tests with adjusted p-values
