Bayesian partial linear model for skewed longitudinal data

Biostatistics
Yuanyuan TangSteven Lipshultz

Abstract

Unlike majority of current statistical models and methods focusing on mean response for highly skewed longitudinal data, we present a novel model for such data accommodating a partially linear median regression function, a skewed error distribution and within subject association structures. We provide theoretical justifications for our methods including asymptotic properties of the posterior and associated semiparametric Bayesian estimators. We also provide simulation studies to investigate the finite sample properties of our methods. Several advantages of our method compared with existing methods are demonstrated via analysis of a cardiotoxicity study of children of HIV-infected mothers.

References

Dec 2, 2009·Biostatistics·Brian J ReichHuixia J Wang
Dec 24, 2009·Biometrical Journal. Biometrische Zeitschrift·M Tariqul HasanRenjun Ma
Feb 18, 2010·The American Statistician·Jan SerroyenMarie Davidian
Jan 1, 2009·Journal of the Royal Statistical Society. Series A, (Statistics in Society)·Stuart R LipsitzSteven Lipshultz
Aug 4, 2010·Biometrical Journal. Biometrische Zeitschrift·Hsiu J Ho, Tsung-I Lin
May 3, 2011·The Annals of Applied Statistics·Michael ParzenJoseph G Ibrahim
Sep 28, 2012·Biometrics·Jianchang LinAdriano Polpo
Feb 1, 2013·Biostatistics·Keunbaik LeeYongsung Joo
Apr 1, 2013·Journal of Multivariate Analysis·Debdeep PatiSurya T Tokdar

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Citations

Jun 10, 2016·Biometrika·Shu-Ching Chang, Dale L Zimmerman
Apr 14, 2017·Statistical Methods in Medical Research·Yuanyuan TangJohn A Spertus
Nov 8, 2017·Biometrical Journal. Biometrische Zeitschrift·Yuanyuan TangPhilip G Jones

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