English

Regression Analysis of Proportion Outcomes with Random Effects

Methodology 2018-05-23 v1 Computation

Abstract

A regression method for proportional, or fractional, data with mixed effects is outlined, designed for analysis of datasets in which the outcomes have substantial weight at the bounds. In such cases a normal approximation is particularly unsuitable as it can result in incorrect inference. To resolve this problem, we employ a logistic regression model and then apply a bootstrap method to correct conservative confidence intervals. This paper outlines the theory of the method, and demonstrates its utility using simulated data. Working code for the R platform is provided through the package glmmboot, available on CRAN.

Keywords

Cite

@article{arxiv.1805.08670,
  title  = {Regression Analysis of Proportion Outcomes with Random Effects},
  author = {Colman Humphrey and Dan Swingley},
  journal= {arXiv preprint arXiv:1805.08670},
  year   = {2018}
}
R2 v1 2026-06-23T02:04:25.120Z