Chinese Journal of Sociology ›› 2015, Vol. 35 ›› Issue (4): 220-.

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On the Coefficients Comparison between Logistic Regressions and the Solutions： A Brief Review#br#

HONG Yanbi   

  • Online:2015-07-20 Published:2015-07-20
  • Contact: HONG Yanbi，Department of Sociology，School of Humanities，Southeast University. E-mail：hongyb@seu.edu.cn
  • About author:HONG Yanbi，Department of Sociology，School of Humanities，Southeast University.
  • Supported by:
    This paper is supported by The CoInnovation Center of Civil Morality and Social Custom，Research Center of National Moral Survey，and “the Fundamental Research Funds for Central Universities” (2242014S30026).

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Abstract:

This paper introduced the coefficients comparison between Logistic regression，which includes comparison between models within sample and that between samples or subsamples.Due to the unobserved heterogeneity (residual variation) problem in Logistic models，it is inappropriate to follow the OLS coefficients comparison in a naive simple way.With the same dependent variable，the total variance of OLS regression function is always fixed，which is irrelevant to the number of independent variables.However，the total variance of Logistic regression function will change as the independent variables increase or decrease，because the variance of error in Logistic regression is assumed to be constant，equals π2/3.Previous researchers proposed many solutions to this comparison problem.Based on the literature，this paper introduced five solutions：y*standardization，KHB decomposition，heterogeneous choice model，average partial effect (APE)，and linear probability model (LPM).Y*standardization and KHB only work in comparison between models within sample，heterogeneous choice model only works in comparison between samples or subsamples，and APE and LPM work in both situations.Drawing up on CGSS 2006 data，using educational transition model as an example，the author then showed the use and the differences between the five solutions through examining the cohort differences in school transition and whether the effects of parental ISEI differ in two cohorts’ school transition.The final part summarized the characteristics and contexts of the five solutions.

 

Key words: unobserved heterogeneity, Logistic models, residual variation, coefficients comparison