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Marginal Odds Ratios: What They Are, How to Compute Them, and Why Sociologists Might Want to Use Them
Sociological Science ( IF 6.222 ) Pub Date : 2023-04-27 , DOI: 10.15195/v10.a10
Kristian Bernt Karlson, Ben Jann

As sociologists are increasingly turning away from using odds ratios, reporting average marginal effects is becoming more popular. We aim to restore the use of odds ratios in sociological research by introducing marginal odds ratios. Unlike conventional odds ratios, marginal odds ratios are not affected by omitted covariates in arbitrary ways. Marginal odds ratios thus behave like average marginal effects but retain the relative effect interpretation of the odds ratio. We argue that marginal odds ratios are well suited for much sociological inquiry and should be reported as a complement to the reporting of average marginal effects. We define marginal odds ratios in terms of potential outcomes, show their close relationship to average marginal effects, and discuss their potential advantages over conventional odds ratios. We also briefly discuss how to estimate marginal odds ratios and present examples comparing marginal odds ratios with conventional odds ratios and average marginal effects.

中文翻译:

边际优势比:它们是什么、如何计算它们以及为什么社会学家可能想要使用它们

随着社会学家越来越多地放弃使用比值比,报告平均边际效应变得越来越流行。我们旨在通过引入边际比值比来恢复比值比在社会学研究中的使用。与传统的比值比不同,边际比值比不受以任意方式遗漏的协变量的影响。因此,边际优势比表现得像平均边际效应,但保留了优势比的相对效应解释。我们认为边际比值比非常适合许多社会学研究,应该作为对平均边际效应报告的补充进行报告。我们根据潜在结果定义边际比值比,显示它们与平均边际效应的密切关系,并讨论它们相对于传统比值比的潜在优势。
更新日期:2023-04-28
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