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

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

Journal of Nonparametric Statistics, 2014, vol. 26, issue 2, 291-303

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.

Date: 2014
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DOI: 10.1080/10485252.2014.891029

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