对数几率与Logit模型的解释

Log Odds and the Interpretation of Logit Models

Health Services Research · 2017
被引 274 · 同刊同年前 1%
ABS 3

中文导读

本文讨论如何解释Logit模型的系数,指出优势比依赖于误差项标准差且不能跨研究或模型比较,建议使用平均边际效应替代优势比。

Abstract

OBJECTIVE: We discuss how to interpret coefficients from logit models, focusing on the importance of the standard deviation (σ) of the error term to that interpretation. STUDY DESIGN: We show how odds ratios are computed, how they depend on the standard deviation (σ) of the error term, and their sensitivity to different model specifications. We also discuss alternatives to odds ratios. PRINCIPAL FINDINGS: There is no single odds ratio; instead, any estimated odds ratio is conditional on the data and the model specification. Odds ratios should not be compared across different studies using different samples from different populations. Nor should they be compared across models with different sets of explanatory variables. CONCLUSIONS: To communicate information regarding the effect of explanatory variables on binary {0,1} dependent variables, average marginal effects are generally preferable to odds ratios, unless the data are from a case-control study.

计量经济学统计学Logit模型系数解释