Robust estimation in generalized partial linear models for clustered data

doi:10.1198/016214505000000277

Robust estimation in generalized partial linear models for clustered data

2005-12-01

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DOI：10.1198/016214505000000277

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In this article we consider robust generalized estimating equations for the analysis of semiparametric generalized partial linear models (GPLMs) for longitudinal data or clustered data in general. We approximate the nonparametric function in the GPLM by a regression spline, and use bounded scores and leverage-based weights in the estimating equation to achieve robustness against outliers. We show that the regression spline approach avoids some of the intricacies associated with the profile-kernel method, and that robust estimation and inference can be carried out operationally as if a generalized linear model were used.

Keyword:

B-spline

estimating equation

generalized linear model

longitudinal data

robustness

Robust estimation in generalized partial linear models for clustered data

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