Distribution-free models for latent mixed population responses in a longitudinal setting with missing data

Stat Methods Med Res. Oct-Nov 2019;28(10-11):3273-3285. doi: 10.1177/0962280218801123. Epub 2018 Sep 24.


Many biomedical and psychosocial studies involve population mixtures, which consist of multiple latent subpopulations. Because group membership cannot be observed, standard methods do not apply when differential treatment effects need to be studied across subgroups. We consider a two-group mixture in which membership of latent subgroups is determined by structural zeroes of a zero-inflated count variable and propose a new approach to model treatment differences between latent subgroups in a longitudinal setting. It has also been incorporated with the inverse probability weighted method to address data missingness. As the approach builds on the distribution-free functional response models, it requires no parametric distribution model and thereby provides a robust inference. We illustrate the approach with both real and simulated data.

Keywords: Latent population mixture; inverse probability weight; longitudinal response; missing data; non-parametric.

MeSH terms

  • Biometry
  • Female
  • HIV Infections / prevention & control
  • Humans
  • Longitudinal Studies*
  • Male
  • Models, Statistical*
  • Research Subjects / statistics & numerical data*
  • Unsafe Sex