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Nonparametric tests for panel count data with unequal observation processes

Author

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  • Li, Yang
  • Zhao, Hui
  • Sun, Jianguo
  • Kim, KyungMann

Abstract

Nonparametric comparison for panel count data is discussed. For the situation, most available approaches require that all subjects have the same observation process. However, such an assumption may not hold in reality. To address this, a new class of test procedures are proposed that allow unequal observation processes for the subjects from different treatment groups. The method applies to both univariate and multivariate panel count data. In addition, the asymptotic normality of the proposed test statistics is established and a simulation study is conducted to evaluate the finite sample properties of the proposed approach. The simulation results show that the proposed procedures work well for practical situations and in particular for sparsely distributed data. They are applied to a set of panel count data arising from a skin cancer study.

Suggested Citation

  • Li, Yang & Zhao, Hui & Sun, Jianguo & Kim, KyungMann, 2014. "Nonparametric tests for panel count data with unequal observation processes," Computational Statistics & Data Analysis, Elsevier, vol. 73(C), pages 103-111.
  • Handle: RePEc:eee:csdana:v:73:y:2014:i:c:p:103-111
    DOI: 10.1016/j.csda.2013.11.014
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    References listed on IDEAS

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    1. Jianguo Sun, 2003. "A nonparametric test for panel count data," Biometrika, Biometrika Trust, vol. 90(1), pages 199-208, March.
    2. Jianguo Sun & Xingwei Tong & Xin He, 2007. "Regression Analysis of Panel Count Data with Dependent Observation Times," Biometrics, The International Biometric Society, vol. 63(4), pages 1053-1059, December.
    3. Wright, F.T. & Nashimoto, Kane, 2011. "One-sided multiple comparisons for treatment means with a control mean," Computational Statistics & Data Analysis, Elsevier, vol. 55(4), pages 1530-1539, April.
    4. Ying Zhang, 2006. "Nonparametric k-sample tests with panel count data," Biometrika, Biometrika Trust, vol. 93(4), pages 777-790, December.
    5. Debashis Ghosh & D. Y. Lin, 2000. "Nonparametric Analysis of Recurrent Events and Death," Biometrics, The International Biometric Society, vol. 56(2), pages 554-562, June.
    6. X. Joan Hu & Jianguo Sun & Lee‐Jen Wei, 2003. "Regression Parameter Estimation from Panel Counts," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 30(1), pages 25-43, March.
    7. Wang, You-Gan & Hin, Lin-Yee, 2010. "Modeling strategies in longitudinal data analysis: Covariate, variance function and correlation structure selection," Computational Statistics & Data Analysis, Elsevier, vol. 54(12), pages 3359-3370, December.
    8. Chen, Jie & Luo, Jianfeng & Liu, Kenneth & Mehrotra, Devan V., 2011. "On power and sample size computation for multiple testing procedures," Computational Statistics & Data Analysis, Elsevier, vol. 55(1), pages 110-122, January.
    9. N. Balakrishnan & Xingqiu Zhao, 2011. "A class of multi-sample nonparametric tests for panel count data," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 63(1), pages 135-156, February.
    10. D. Y. Lin & L. J. Wei & I. Yang & Z. Ying, 2000. "Semiparametric regression for the mean and rate functions of recurrent events," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 62(4), pages 711-730.
    11. Sun, Jianguo & Park, Do-Hwan & Sun, Liuquan & Zhao, Xingqiu, 2005. "Semiparametric Regression Analysis of Longitudinal Data With Informative Observation Times," Journal of the American Statistical Association, American Statistical Association, vol. 100, pages 882-889, September.
    12. J. Sun & L. J. Wei, 2000. "Regression analysis of panel count data with covariate‐dependent observation and censoring times," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 62(2), pages 293-302.
    13. Xingqiu Zhao & N. Balakrishnan & Jianguo Sun, 2011. "Nonparametric inference based on panel count data," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 20(1), pages 1-42, May.
    14. Chiung-Yu Huang & Mei-Cheng Wang & Ying Zhang, 2006. "Analysing panel count data with informative observation times," Biometrika, Biometrika Trust, vol. 93(4), pages 763-775, December.
    15. Buzkova Petra, 2010. "Panel Count Data Regression with Informative Observation Times," The International Journal of Biostatistics, De Gruyter, vol. 6(1), pages 1-24, September.
    16. Xingqiu Zhao & Jianguo Sun, 2011. "Nonparametric Comparison for Panel Count Data with Unequal Observation Processes," Biometrics, The International Biometric Society, vol. 67(3), pages 770-779, September.
    17. Fu, Liya & Wang, You-Gan, 2012. "Quantile regression for longitudinal data with a working correlation model," Computational Statistics & Data Analysis, Elsevier, vol. 56(8), pages 2526-2538.
    18. Zhao, Xingqiu & Tong, Xingwei, 2011. "Semiparametric regression analysis of panel count data with informative observation times," Computational Statistics & Data Analysis, Elsevier, vol. 55(1), pages 291-300, January.
    19. Tang, Nian-Sheng & Duan, Xing-De, 2012. "A semiparametric Bayesian approach to generalized partial linear mixed models for longitudinal data," Computational Statistics & Data Analysis, Elsevier, vol. 56(12), pages 4348-4365.
    20. Lin D Y & Wei L J & Ying Z, 2001. "Semiparametric Transformation Models for Point Processes," Journal of the American Statistical Association, American Statistical Association, vol. 96, pages 620-628, June.
    21. Ye, Fei & Yue, Chen & Yang, Ying, 2013. "Modeling time-dependent overdispersion in longitudinal count data," Computational Statistics & Data Analysis, Elsevier, vol. 58(C), pages 257-264.
    22. Balakrishnan, N. & Zhao, Xingqiu, 2010. "A nonparametric test for the equality of counting processes with panel count data," Computational Statistics & Data Analysis, Elsevier, vol. 54(1), pages 135-142, January.
    23. Mao, Jie & Zhu, Zhongyi & Fung, Wing K., 2011. "Joint estimation of mean-covariance model for longitudinal data with basis function approximations," Computational Statistics & Data Analysis, Elsevier, vol. 55(2), pages 983-992, February.
    24. Zhao, Xingqiu & Tong, Xingwei & Sun, Jianguo, 2013. "Robust estimation for panel count data with informative observation times," Computational Statistics & Data Analysis, Elsevier, vol. 57(1), pages 33-40.
    25. Pinçon, Claire & Pons, Odile, 2009. "Nonparametric linear tests with multiple events," Computational Statistics & Data Analysis, Elsevier, vol. 53(12), pages 4279-4289, October.
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    2. Yao, Bin & Wang, Lianming & He, Xin, 2016. "Semiparametric regression analysis of panel count data allowing for within-subject correlation," Computational Statistics & Data Analysis, Elsevier, vol. 97(C), pages 47-59.

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