Inferences from logistic regression models in the presence of small samples, rare events, nonlinearity, and multicollinearity with observational data

作     者：Bergtold, Jason S. Yeager, Elizabeth A. Featherstone, Allen M. 

作者机构：Kansas State Univ Dept Agr Econ 307 Waters Hall Manhattan KS 66506 USA 

出 版 物：《JOURNAL OF APPLIED STATISTICS》 (应用统计学杂志)

年 卷 期：2018年第45卷第3期

页      面：528-546页

核心收录：

学科分类：0202[经济学-应用经济学] 02[经济学] 020208[经济学-统计学] 07[理学] 0714[理学-统计学（可授理学、经济学学位）] 

主　　题：Logistic regression model multicollinearity nonlinearity rare events inference small sample bias C18 C35 C83 

摘      要：The logistic regression model has been widely used in the social and natural sciences and results from studies using this model can have significant policy impacts. Thus, confidence in the reliability of inferences drawn from these models is essential. The robustness of such inferences is dependent on sample size. The purpose of this article is to examine the impact of alternative data sets on the mean estimated bias and efficiency of parameter estimation and inference for the logistic regression model with observational data. A number of simulations are conducted examining the impact of sample size, nonlinear predictors, and multicollinearity on substantive inferences (e.g. odds ratios, marginal effects) when using logistic regression models. Findings suggest that small sample size can negatively affect the quality of parameter estimates and inferences in the presence of rare events, multicollinearity, and nonlinear predictor functions, but marginal effects estimates are relatively more robust to sample size.