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Model fit The Ordered Logit Coefficients From the lecture last week, we already In a summary way, the coefficients tell us know how to evaluate the adequacy or fit that older women have more children of the overall model. The LRy test educated women have fewer children statistic in the full model has a value of urban women have fewer children than 1429.64, which is the difference between rural women and han women have fewer values of (-2L0)and (-2L4) With 7 degrees children than minority women of freedom this statistic has a p of o 0000 Each coefficient refers to the linear for testing the null hypothesis that 1=B2 change in the log odds of being above =B2=0 either of the first two categories seudo R2 is 0.2384, fairly good fit of the Other things equal, with each increase in age, there is an increase of 0.17 in the log model to the data odds of CEB3 being above either of the two All seven logit coefficients have very high fixed levels that is the two fixed levels of z(t) scores, and all are significant at P none or few 0.01, meaning that the seven logit Other things equal, the log odds for urban coefficients are all significantly different women of having a CEB3 value above either from 0, having significant influence or of the two fixed levels are -1.14 lower in value than for rural women fertility Other things equal, the log odds for Han women of having a CEB3 value above either of the two fixed levels are -0.66 lower in alue than for minority women15 29 Model Fit • From the lecture last week, we already know how to evaluate the adequacy or fit of the overall model. The LRχ2 test statistic in the full model has a value of 1429.64, which is the difference between values of (-2L0) and (-2LF). With 7 degrees of freedom, this statistic has a P of 0.0000 for testing the null hypothesis that β1 = β2 = β3 = 0. 30 • Pseudo R2 is 0.2384, fairly good fit of the model to the data. • All seven logit coefficients have very high z(t) scores, and all are significant at P = 0.01, meaning that the seven logit coefficients are all significantly different from 0, having significant influence on fertility. 16 31 The Ordered Logit Coefficients • In a summary way, the coefficients tell us that older women have more children, educated women have fewer children, urban women have fewer children than rural women, and Han women have fewer children than minority women. • Each coefficient refers to the linear change in the log odds of being above either of the first two categories. 32 • Other things equal, with each increase in age, there is an increase of 0.17 in the log odds of CEB3 being above either of the two fixed levels, that is, the two fixed levels of none or few. • Other things equal, the log odds for urban women of having a CEB3 value above either of the two fixed levels are -1.14 lower in value than for rural women. • Other things equal, the log odds for Han women of having a CEB3 value above either of the two fixed levels are -0.66 lower in value than for minority women
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