[R] Proportion test in three-chices experiment

[NOEL Yvonnick]

Rafael,

when testing binomial hypotheses with both repeated measures and 
inter-group factors, you should make explicit your model on the 
intra-subject part of the data. You can't do Chi-square comparisons on 
count data that mix independent and dependent measures.

But you can define a Bernoulli logistic model at the individual single 
response level, and define a proper subject factor, and a stimulus-type 
factor, and possibly an item factor (nested within the stimulus-type 
category). This may be viewed as a Rasch model of measurement.

Within this model, coefficient estimates on the subject factor are 
measures of individual ability that can be a posteriori introduced in an 
ANOVA.

In some cases, you can model the intra-subject part of the data as a 
temporal model, assuming for instance that subjects are getting more 
efficient as time goes on.

HTH,

Yvonnick.