Comparing Regression Coefficients Between Same-sample Nested Models Using Logit and Probit

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Deciding under Doubt: A Theory of Risk Aversion, Time Discounting Preferences, and Educational Decision-making (2014, methodology): “We use the Karlson-Breen-Holm (KHB) method to equalize the scale of the log-odds coefficients in the two models and run formal tests for mediation effects (see Karlson, Holm, and Breen, 2012).”
A Note on a Reformulation of the KHB Method (2018, methodology): “Breen et al. 911 Kristian Bernt Karlson is an associate professor of Sociology at the University of Copenhagen.”
A General Framework for Comparing Predictions and Marginal Effects across Models (2019, methodology): “…(Allison 1999; Breen, Holm, and Karlson 2014; Long and Mustillo forthcoming; Williams 2009) models, for mediation in linear and nonlinear models (Karlson, Holm, and Breen 2012; MacKinnon et al. 2002), and for testing the ordinality assumption in ordinal logit (Brant 1990; Wolfe and Gould 1998).”
Total, Direct, and Indirect Effects in Logit and Probit Models (2013, methodology): “Indeed, all three alternative methods discussed in Karlson et al. (2012) are based on estimating different models, thereby reflecting changes in the fit of the error to the assumed distribution.”