Abstract
The collapsibility theorem describes both the circumstances in which the effects of hierarchical models change when additional variables are introduced, as the circumstances in which the exclusion of certain variables and the analysis of specific marginal tables may lead to different conclusions.
The partial association model is here considered as a specific example of three-dimensional log-linear analysis.
Collapsibility is examined in an empirical study currently being performed in Catalonia with regard to program evaluation in penitentiary centers.
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Sánchez-Algarra, P., Anguera-Argilaga, M.T. The collapsibility theorem in log-linear analysis of categorical data: an application in program evaluation. Quality & Quantity 31, 199–206 (1997). https://doi.org/10.1023/A:1004284528991
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DOI: https://doi.org/10.1023/A:1004284528991