Suppose we have a binomial response variable and three explanatory variables we

Question

Suppose we have a binomial response variable and three explanatory variables we will call X with I levels, Z with K levels, and W with L levels. Find the degrees of freedom associated with each of The models described below, i.e., the degrees of freedom associated with the test for model adequacy.

a. I = K = 3 and L = 2, all variables treated categorically, model with terms for each explanatory variable but no interactions.

b. I = K = L = 3, all variables treated categorically, model with terms for each explanatory variable and interactions between X and Z and also X and W.

c. Same situation as in part a only this time with ordinal scores used for X ( Z and W still treated categorically ).

d. Same situation as in part b only this time with ordinal scores used for X ( Z and W still treated categorically ).

Explanation / Answer

The correct option is, B

I = K = L = 3, all variables treated categorically, model with terms for each explanatory variable and interactions between X and Z and also X and W.

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