What analyses can be used to find an interaction effect in a 2-factor design, with one ordinal and one categorical factor, with binary-valued data?
Specifically, are there any types of analyses that are capable of dealing with a 2 factor design 5(ordinal) x 2(categorical), where the outcomes are either true or false?
One could do a 5x2 chi square analysis, but it loses the power of the ordinality of the one factor.
Alternatively, one could run independent logistic/probit regressions, but then there is the question of testing for the interaction effect.
Any thoughts or suggestions that would put me in the right direction would be helpful.