Qian's (1997) Models, Table 3 and Appendix

A simplified Hierarchical description

C1

Mrace*Med, Frace*Fed, Year

C2

Mrace*Med, Frace*Fed, Year, Intermarct, BW, HW

C3

Mrace*Med, Frace*Fed, Year, RaceEndogCT, BW, HW, EdendogCT, Eddiff2, Eddiff3

C4

Mrace*Med*Year, Frace*Fed*Year, RaceEndogCT, BW, HW, EdendogCT, Eddiff2, Eddiff3

C5

Mrace*Med*Year, Frace*Fed*Year, RaceEndogCT*Year, BW, HW, EdendogCT, Eddiff2, Eddiff3

C6

Mrace*Med*Year, Frace*Fed*Year, RaceEndogCT*Year, BW*Year, HW*Year, EdendogCT, Eddiff2, Eddiff3

C7

Mrace*Med*Year, Frace*Fed*Year, RaceEndogCT*Year, BW*Year, HW*Year, EdendogCT*Year, Eddiff2, Eddiff3

C8

Mrace*Med*Year, Frace*Fed*Year, RaceEndogCT*Year, BW*Year, HW*Year, EdendogCT*Year, Eddiff2*Year, Eddiff3*Year

 

 

 

Where Mrace and Frace are the categorical variables for Husband's race and Wife's race, respectively.  Med and Fed are the categorical variables for Husband's and Wife's education.  RaceEndogCT is a categorical variable with a different value for each of the 4 kinds of racial endogamy.  EdEndogCT is similarly a categorical variable for educational endogamy.  BW and HW are off-diagonal gender symmetric racial interactions for Black- White and Hispanic-White intermarriage. Eddiff2 and Eddiff3 are gender symmetric off diagonal interactions for marriages with education gaps of 2 and 3 levels, respectively.