Generalised partial linear single-index mixed models for repeated measures data

Jinsong Chen*, Inyoung Kim, George R. Terrell, Lei Liu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

In this paper, we propose generalised partial linear single-index mixed models for analysing repeated measures data.A penalised quasi-likelihood approach using P-spline is used to estimate the nonparametric function, linear parameters, and single-index coefficients. Asymptotic properties of the estimators are developed when the dimension of spline basis grows with increasing sample size. Simulation examples and two applications: the study of health effects of air pollution in North Carolina, and treatment effect of naltrexone on health costs for alcohol-dependent individuals, illustrate the effectiveness of our approach.

Original languageEnglish (US)
Pages (from-to)291-303
Number of pages13
JournalJournal of Nonparametric Statistics
Volume26
Issue number2
DOIs
StatePublished - Mar 10 2014

Keywords

  • Asymptotics
  • Penalised splines
  • Random effects
  • Smoothing parameter selection

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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