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Evaluating the Correlation Coefficient of Bivariate Failure Times: A Copula-based Approach

HAN, XIAOZHEN
http://orcid.org/0000-0002-5921-3866
http://rave.ohiolink.edu/etdc/view?acc_num=case1427993855

Abstract Details

2015, Master of Sciences, Case Western Reserve University, Epidemiology and Biostatistics.
The association of bivariate failure times, estimated using Spearman’s correlation coefficient (Spearman’s rs) herein, is of great interest in biology and medicine. Our objectives are 1) to estimate the Spearman’s rs of two treatment periods (initial radiation therapy and salvage surgery after failure of initial radiotherapy) for head and neck squamous cell carcinoma (HNSCC) patients; 2) to investigate the association of bivariate failure data through extensive Monte Carlo simulations using a copula approach. Frank-based estimate for HNSCC study is 0.36 with 95% confidence interval of (0.04, 0.64). Four copula-based estimates range from 0.13 to 0.36 suggesting a moderate positive association. Simulation results show that 1) Gumbel-based estimation procedure is more robust when censoring increases; 2) for Frank, Gumbel and Clayton-based estimation procedures under 0%, 30% and 60% of censoring, the accuracy increase with a stronger positive association when the copula assumption we made is the same as the true one.
Pingfu Fu (Advisor)
Pingfu Fu (Committee Chair)
Jiayang Sun (Committee Member)
Mark Schluchter (Committee Member)
111 p.
Biostatistics

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Citations

  • HAN, X. (2015). Evaluating the Correlation Coefficient of Bivariate Failure Times: A Copula-based Approach [Master's thesis, Case Western Reserve University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=case1427993855

    APA Style (7th edition)

  • HAN, XIAOZHEN. Evaluating the Correlation Coefficient of Bivariate Failure Times: A Copula-based Approach. 2015. Case Western Reserve University, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=case1427993855.

    MLA Style (8th edition)

  • HAN, XIAOZHEN. "Evaluating the Correlation Coefficient of Bivariate Failure Times: A Copula-based Approach." Master's thesis, Case Western Reserve University, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=case1427993855

    Chicago Manual of Style (17th edition)

case1427993855
433
© 2015, some rights reserved.Creative Commons License Evaluating the Correlation Coefficient of Bivariate Failure Times: A Copula-based Approach by XIAOZHEN HAN is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License. Based on a work at etd.ohiolink.edu.
This open access ETD is published by Case Western Reserve University School of Graduate Studies and OhioLINK.