# Multiple planned comparisons of frequencies (based on a binary DV and multiple IV's)

I'm looking for the most appropriate way to to conduct multiple planned comparisons of frequencies.

I conducted an experiment in which participants could come from one of two groups, 'Group A' and 'Group B'. I can further divide participants in each group by Sex (Male,Female) and one of three age groups (18 to 34, 34 to 54, 55 and over).

I randomly assign participants so that they receive one of four possible questions. Each question consists of a binary result, correct or incorrect.

So I have:

• DV = test result = Binary
• IV = test question = Categorical
• IV = Group (A or B) = Categorical
• IV = Sex (Male or Female) = Categorical
• IV = Age Group (<=18, 19 to 54, =>54) = Ordinal, coded as 1,2,3

There is variance between the cells, but N's are > 50 in all cells.

I want to conduct multiple planned comparisons. E.g. Compare the mean correct answers in test A versus test B for 18 to 34yo Males in Group A. i.e. Did they do significantly better/worse between the tests?

What is the best approach to tackling this? Could I simply conduct multiple Z-tests with a Bonferroni correction?

Many thanks, Suggy