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With reference to a single mediator context, this brief report presents amodel-based strategy to estimate counterfactual direct and indirect effectswhen the response variable is ordinal and the mediator is binary. Postulating alogistic regression model for the mediator and a cumulative logit model for theoutcome, the exact parametric formulation of the causal effects is presented,thereby extending previous work that only contained approximated results. Theidentification conditions are equivalent to the ones already established in theliterature. The effects can be estimated by making use of standard statisticalsoftware and standard errors can be computed via a bootstrap algorithm. To makethe methodology accessible, routines to implement the proposal in R arepresented in the Appendix. A natural effect model coherent with the postulateddata generating mechanism is also derived.

Exact mediation analysis for ordinal outcome and binary mediator