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I have data whose structure is seen in the image below. You see one participant's responses in the second row. M1-4 through F3-6 are trials in which a binary response was made (participant chose one of two stimuli presented on the screen). These were M(ale) and F(emale) stimuli. 1 through...

I have searched and read a lot about this but I'm still unsure which test is suitable for the following situation. Data come from a few hundred participants who saw, in each of several trials, a pair of stimuli and made a binary judgment (indicating which stimulus in the pair has a certain...