Suppose that you estimate a multinomial logit model predicting one of three types of child care used by families (center, family day care, or relative care) based on the mother’s years of schooling, using relative care as the reference outcome category.

Imagine that the coeffi cient for mother’s years of schooling is 0.69 for the outcome category of centers and 0.41 for the outcome category of family day care.

(a) Calculate the coeffi cients that you would obtain if you instead used centers as the reference outcome category.

(b) Re-express all four coeffi cients (the original two coeffi cients and the two coeffi cients you calculated in

(a) as odds ratios.