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I have to analyze a within-subject experiment with a continuous dependent variable and a categorical dependent variable (brain stimulation: Anode, Cathode, Sham, performed in different sessions separated by 48 hours). Although the order of stimulation (e.g., Sham first, Anode second, Cathode...

Consider 2 models A and B. A (5 free parameters) is nested within B (6 free parameters). Imagine that we do an experiment and acquire data from N = 21 participants. We fit models A and B to each individual dataset by minimizing Pearson's chi-square statistic. Chi-square values are generally...