I want to run a multinomial logit regression using the multinom() function from the nnet R package. I need some help with the interpretation of different formulas. My dataset have 3 IV (age (3 levels) , presonality(4 levels)and Test(2 levels))an 1 DV (response (4 levels)) and all variables are categorical.Here an example of the dataset.
>head(df)
Personality Age Test Response
1 1 50+ pre A
2 1 50+ post A
3 2 30-39 pre B
4 2 50+ post C
5 3 20-29 pre D
6 3 20-29 post A
First,I want to understand the effect of personality on users' response in different test. I wrote two formulas (find them below) but I do not know what are the different between them and how their results will be interpreted differently. Eq1= multinom(formula= response~ test + personality, data=df) Eq2= multinom(formula= response~ test * personality, data=df)
Second, I want to understand how the result can be reported in paper? Thanks for your help.