Causal Effect for Ordinal Outcomes from Observational Data: Bayesian Approach

Jirakom Sirisrisakulchai, Songsak Sriboonchitta


Ordinal outcomes are often observed in the social and economic sciences. Itis frequently that the scale or magnitude of the outcomes is not available. The commonaverage treatment effect is not well-defined for causal inference. We define a usefulcausal estimands for ordinal outcomes in this research. To consistently estimate thecausal estimands, the data has to satisfy the ignorable treatment assignment assumption.This condition ensures that the outcome of interest is independent of the treatmentassignment mechanism. We discuss and propose the models for correcting self-selectionbias from this type of observed data using copula approach. Copula can capture thedependence between treatment assignment and outcomes of interest. Bayesian estimationprocedures play an important role in causal analysis [1]. Thus, Bayesian estimationprocedure is applied to help estimating the complex model structures. Finally, we discussthe framework for estimate causal effect of ordinal potential outcomes and apply thisframework to the healthcare survey data from [2] as a case study.

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The Thai Journal of Mathematics organized and supported by The Mathematical Association of Thailand and Thailand Research Council and the Center for Promotion of Mathematical Research of Thailand (CEPMART).

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|ISSN 1686-0209|