×

Generalized estimating equations for analyzing multivariate survival data. (English) Zbl 1497.62263

Summary: Generalized estimating equations (GEE) approach has been used to estimate the parameters in semiparametric accelerated failure time (AFT) models with clustered and censored data. However, the working correlation model has a substantial impact on estimator efficiency when using the GEE method. This article proposes a general correlation model to incorporate the correlations among the clustered and censored data and protect against avoidable loss of efficiency associated with misspecified correlation structure. The proposed estimator is consistent and asymptotically normal. Simulation studies are carried out to demonstrate the effectiveness of the proposed method. Finally, a real dataset from a toxicology study is analyzed for illustration.

MSC:

62N05 Reliability and life testing
62J05 Linear regression; mixed models
62N02 Estimation in survival analysis and censored data
62F12 Asymptotic properties of parametric estimators
62P10 Applications of statistics to biology and medical sciences; meta analysis

Software:

geepack
Full Text: DOI

References:

[1] Buckley, J.; James, I., Linear regression with censored data, Biometrika, 66, 3, 429-36 (1979) · Zbl 0425.62051 · doi:10.2307/2335161
[2] Chiou, S. H.; Kang, S.; Kim, J.; Yan, J., Marginal semiparametric multivariate accelerated failure time model with generalized estimating equations, Lifetime Data Analysis, 20, 4, 599-618 (2014) · Zbl 1357.62296 · doi:10.1007/s10985-014-9292-x
[3] Chiou, S. H.; Kang, S.; Yan, J., Semiparametric accelerated failure time modeling for clustered failure times from stratified sampling, Journal of the American Statistical Association, 110, 510, 621-9 (2015) · Zbl 1373.62492 · doi:10.1080/01621459.2014.917978
[4] Cox, D. R., Regression models and life tables (with discussion), Journal of the Royal Statistical Society. Series B, 34, 187-220 (1972) · Zbl 0243.62041 · doi:10.1111/j.2517-6161.1972.tb00899.x
[5] Halekoh, U.; Højsgaard, S., The R package Geepack for generalized estimating equations, Journal of Statistical Software, 15, 2, 1-11 (2006)
[6] Jin, Z.; Lin, D. Y.; Ying, Z., Rank regression analysis of multivariate failure time data based on marginal linear models, Scandinavian Journal of Statistics, 33, 1, 1-23 (2006) · Zbl 1126.62095 · doi:10.1111/j.1467-9469.2005.00487.x
[7] Jin, Z.; Lin, D. Y.; Ying, Z., On least-squares regression with censored data, Biometrika, 93, 1, 147-61 (2006) · Zbl 1152.62068 · doi:10.1093/biomet/93.1.147
[8] Kalbfleisch, J. D.; Prentice, R. L., The statistical analysis of failure time data (2002), Hoboken, NJ: John Wiley, Hoboken, NJ · Zbl 1012.62104
[9] Lee, E. W.; Wei, L. J.; Ying, Z., Linear regression analysis for highly stratified failure time data, Journal of American Statistical Association, 88, 422, 557-65 (1993) · Zbl 0775.62171 · doi:10.2307/2290336
[10] Liang, K. Y.; Zeger, S. L., Longitudinal data analysis using generalized linear models, Biometrika, 73, 1, 13-22 (1986) · Zbl 0595.62110 · doi:10.2307/2336267
[11] Mentel, N.; Bohidar, N. R.; Ciminera, J. L., Mentel-Haenszel analysis of litter-matched time-to-response data with modifications for recovery of interlitter information, Cancer Research, 37, 3863-8 (1997)
[12] Wang, Y.-G.; Carey, V., Working correlation structure misspecification, estimation and covariate design: Implications for generalized estimating equations performance, Biometrika, 90, 1, 29-41 (2003) · Zbl 1035.62074 · doi:10.1093/biomet/90.1.29
[13] Wang, Y.-G.; Fu, L. Y., Rank regression for accelerated failure time model with clustered and censored data, Computational Statistics and Data Analysis, 55, 7, 2334-43 (2011) · Zbl 1328.62564 · doi:10.1016/j.csda.2011.01.023
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.