Analysing Binary data in a mixed design?

I ran a study with two IVs, a between-subjects manipulation Hands vs NoHands, and a within-subjects manipulation High and Low. The outcome of what participants did was recorded and then show to one Rater. This resulted in a binary outcome of 1=correct, 2=incorrect for each statement made by the participants.

But I have two issues with this: 1. each participant has 4 responses (2 High, 2 Low), so there is dependency in the responses, which I don't know how to address. 2. Since it is a mixed design, neither Chi-square or McNemar work.

• Can you clarify your research question and what you believe will happen? The study design is not the only consideration in choosing an analysis approach. May 21, 2015 at 16:46
• Thank you all for the useful information. Summing up the responses per subject would account for the dependency issue, but would change the information it provides, as I care more about the overall accuracy of the rater for each response. May 27, 2015 at 14:17
• Just a small clarification, the study data in this case was an N-of-1 design, as there is a single rater making all the accuracy decisions. I just need a way to account for the dependency of the observations. otherwise I just run a chi-square and im done, but it violates the assumption of independence. So I need something like a covariate but for a chi-square (or in my case a Fisher's exact test). May 27, 2015 at 14:19