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The term of interest is ? rR , from which the odds ratios were calculated. The constraints used in the two models for this effect are described below as design matrices. In the matrix, intermarriages between non-White groups were constrained to be equal (?ten). Models 1 and 2 differ by the specification of the interaction of husbands’ and wives’ race but include the same dimensions selected on the basis of findings in preliminary analyses. The simplified version of the structure of the models (Equation 1), with NrReEvG as the cell frequency, ?o as the intercept, and abbreviated indices and summation signs for categories in each dimension, is as follows:
Model 1 tests the significance of the influences of composition and educational pairing. A BIC value of less than 0 in Model 1 would indicate that the influences are statistically significant. This is because preliminary analyses showed that a simple model that includes only husbands’ race (? r ) and wives’ race (? R ) and their interaction term (? rR ), which excludes other measures from the model, yielded BIC values much greater than zero, which indicate a fit worse than the saturated model (with all multiway interaction effects). Model 2 tests the presence of gender asymmetry in the racial pairing patterns of the resettlement cohort. Intererican wives and White husbands might have become more common than intererican husbands and White wives after WWII. The War Bride Act could have legitimized the former type of intermarriage, and, in addition, had brought in intermarriages of Japanese war-brides and White veteran husbands from overseas. The ? rR terms of the two models, constrained differently with a design matrix to test for evidence of gender asymmetry, are presented in Appendix A (see Journal of ily online source). Each term in the cell represents a dummy variable. The cells with zeros are the omitted categories in the main effects of husbands’ and wives’ race. The off-diagonal cells of ? rR for non-White and non-White pairings are constrained to be equal to capture the effects of these rare intermarriages that are not the focus here. In the design matrix of Model 1, the dummy variable entries are symmetric around the diagonal cells of the table, which indicates gender symmetry. Model 2 includes two additional terms, namely ?eleven for Japanese American wives and White husbands, and ?a dozen for Japanese wives and White husbands, to account for gender asymmetry in the odds of intermarriage.
In the third and final step, we used the better-fit model to estimate the adjusted odds ratios. If Model 2 had a BIC value lower than that of Model 1 for one of the two cohorts, Model 2 was used to estimate both cohorts’ adjusted odds ratios for comparability across cohorts. From the coefficients, we calculated odds ratios by taking the exponent of the coefficients of interest in the design matrix-in the case of Model 2, those terms are ?1, ?step three, ?cuatro, ?eight, ?8, ?11, and ?12 (see Harris & Ono, 2005). For Japanese and Whites, for example, the odds ratios of homogamy versus intermarriage calculated from Model 2 are as follows: [exp(?1)exp(?4)]/(exp(?8+ ?12)exp(?8)].
War-bride-to-be intermarriages are intermarriages by the White seasoned husbands and you will Japanese wives about resettlement cohort (n = 1,268, otherwise 84% of your own White husband and you will Japanese wife people in this cohort). So it exemption is dramatically enhance the odds proportion to the resettlement cohort of Japanese’s pairing designs that have Whites.
Appendix B (discover Journal regarding ily on the web source) provides the regularity tables, of which we computed the new unadjusted chances ratios out of homogamy in the place of intermarriage getting partners comprising Japanese or Japanese People in america and you can Whites regarding several relationship cohorts. Rates 1A and you may 1B tell you the latest unadjusted odds ratios to own Whites and you can Japanese People in the us and you bodybuilder dating apps may Whites and you may Japanese, respectively, into a few cohorts. If the combining is actually Japanese People in the us having Whites or Japanese that have Whites, whenever unadjusted, the newest interest to the homogamy atically towards the resettlement cohort as compared to that of new prewar cohort. Especially, for pairings of Japanese Us americans having Whites on postwar resettlement cohort, the odds ratios y was 410,one hundred thousand times likely to be as compared to odds of intermarriage till the conflict and you may 67,one hundred thousand minutes more likely immediately following they. For pairings regarding Japanese with Whites, the fresh new postwar proportion y is actually 170,100 times probably be than just intermarriage before conflict and dos,900 moments probably be immediately following they.