A corrected formulation for marginal inference derived from two-part mixed models for longitudinal semi-continuous data

Stat Methods Med Res. 2016 Oct;25(5):2014-2020. doi: 10.1177/0962280213509798. Epub 2013 Nov 6.

Abstract

For semi-continuous data which are a mixture of true zeros and continuously distributed positive values, the use of two-part mixed models provides a convenient modelling framework. However, deriving population-averaged (marginal) effects from such models is not always straightforward. Su et al. presented a model that provided convenient estimation of marginal effects for the logistic component of the two-part model but the specification of marginal effects for the continuous part of the model presented in that paper was based on an incorrect formulation. We present a corrected formulation and additionally explore the use of the two-part model for inferences on the overall marginal mean, which may be of more practical relevance in our application and more generally.

Keywords: bridge distribution; excess zeros; longitudinal data; random effects.

MeSH terms

  • Arthritis, Psoriatic / genetics
  • Arthritis, Psoriatic / pathology
  • Arthritis, Psoriatic / physiopathology
  • Data Interpretation, Statistical
  • Female
  • HLA-B27 Antigen / genetics
  • Humans
  • Logistic Models
  • Longitudinal Studies
  • Models, Statistical*

Substances

  • HLA-B27 Antigen