Comparing coefficients of nested nonlinear probability models

Ulrich Kohler, Kristian Bernt Karlson, Anders Holm

390 Citations (Scopus)
1441 Downloads (Pure)

Abstract

In a series of recent articles, Karlson, Holm, and Breen (Breen, Karlson, and Holm, 2011, http://papers.ssrn.com/sol3/papers.cfm?abstractid=1730065; Karlson and Holm, 2011, Research in Stratification and Social Mobility 29: 221-237; Karlson, Holm, and Breen, 2010, http://www.yale.edu/ciqle/Breen_Scaling %20effects.pdf) have developed a method for comparing the estimated coefficients of two nested nonlinear probability models. In this article, we describe this method and the user-written program khb, which implements the method. The KHB method is a general decomposition method that is unaffected by the rescaling or attenuation bias that arises in cross-model comparisons in nonlinear models. It recovers the degree to which a control variable, Z, mediates or explains the relationship between X and a latent outcome variable, Y * underlying the nonlinear probability model. It also decomposes effects of both discrete and continuous variables, applies to average partial effects, and provides analytically derived statistical tests. The method can be extended to other models in the generalized linear model family.

Original languageEnglish
JournalStata Journal
Volume11
Issue number3
Pages (from-to)420-438
Number of pages19
ISSN1536-867X
Publication statusPublished - Oct 2011
Externally publishedYes

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