Decomposing primary and secondary effects: A new decomposition method☆

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Decreasing the SES math achievement gap: Initial math proficiency and home learning environments (2015, methodology): “This method corrects for the fact that when comparing models with different variables, error distribution and variance of the dependent variables differ across models (Karlson & Holm, 2011).”
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.”