The frailty model is increasingly popular for analyzing multivariate time-to-event data. The most common model is the shared frailty model. Although study design consideration is as important as analysis strategies, sample size determination methodology in studies with multivariate time-to-event data is greatly lacking in the literature. In this article, we develop a sample size determination method for the shared frailty model to investigate the treatment effect on multivariate event times. We analyzed the data using both a parametric model and a piecewise model with unknown baseline hazard, and compare the empirical power with the calculated power. Last, we discuss the formula for testing the treatment effect on recurrent events.
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Department of Mathematics & Computing, Indian Institute of Technology Dhanbad, Dhanbad,826004, IndiaDepartment of Mathematics & Computing, Indian Institute of Technology Dhanbad, Dhanbad,826004, India
Thomas, Abin
Vishwakarma, Gajendra K.
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Department of Mathematics & Computing, Indian Institute of Technology Dhanbad, Dhanbad,826004, IndiaDepartment of Mathematics & Computing, Indian Institute of Technology Dhanbad, Dhanbad,826004, India
Vishwakarma, Gajendra K.
Bhattacharjee, Atanu
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Section of Biostatistics, Centre for Cancer Epidemiology, Tata Memorial Centre, Mumbai, India
Homi Bhaba National Institute, Mumbai, IndiaDepartment of Mathematics & Computing, Indian Institute of Technology Dhanbad, Dhanbad,826004, India
机构:
Indian Stat Inst, Appl Stat Div, Kolkata, IndiaIndian Stat Inst, Appl Stat Div, Kolkata, India
Kundu, Damitri
Krishnan, Shekhar
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Tata Med Ctr, Tata Translat Canc Res Ctr, Kolkata, IndiaIndian Stat Inst, Appl Stat Div, Kolkata, India
Krishnan, Shekhar
Gogoi, Manash Pratim
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Tata Med Ctr, Tata Translat Canc Res Ctr, Kolkata, IndiaIndian Stat Inst, Appl Stat Div, Kolkata, India
Gogoi, Manash Pratim
Das, Kiranmoy
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Indian Stat Inst, Appl Stat Div, Kolkata, India
Beijing Inst Math Sci & Applicat, Beijing, Peoples R ChinaIndian Stat Inst, Appl Stat Div, Kolkata, India
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Univ Politecn Cataluna, Dept Stat & Operat Res, Jordi Girona 31, Barcelona 08034, SpainUniv Politecn Cataluna, Dept Stat & Operat Res, Jordi Girona 31, Barcelona 08034, Spain
Martinez, Jordi Cortes
Geskus, Ronald B.
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Univ Oxford, Clin Res Unit, Ho Chi Minh City, Vietnam
Ctr Trop Med & Global Hlth, Nuffield Dept Med, Oxford, EnglandUniv Politecn Cataluna, Dept Stat & Operat Res, Jordi Girona 31, Barcelona 08034, Spain
Geskus, Ronald B.
Kim, Kyung Mann
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Univ Wisconsin, Dept Biostat & Med Informat, 600 Highland Ave, Madison, WI 53792 USAUniv Politecn Cataluna, Dept Stat & Operat Res, Jordi Girona 31, Barcelona 08034, Spain
Kim, Kyung Mann
Melis, Guadalupe Gomez
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Univ Politecn Cataluna, Dept Stat & Operat Res, Jordi Girona 31, Barcelona 08034, SpainUniv Politecn Cataluna, Dept Stat & Operat Res, Jordi Girona 31, Barcelona 08034, Spain
机构:
Mem Sloan Kettering Canc Ctr, Dept Epidemiol & Biostat, New York, NY 10021 USAMem Sloan Kettering Canc Ctr, Dept Epidemiol & Biostat, New York, NY 10021 USA
Jia, Xiaoyu
Sima, Camelia S.
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Mem Sloan Kettering Canc Ctr, Dept Epidemiol & Biostat, New York, NY 10021 USAMem Sloan Kettering Canc Ctr, Dept Epidemiol & Biostat, New York, NY 10021 USA
Sima, Camelia S.
Brennan, Murray F.
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Mem Sloan Kettering Canc Ctr, Dept Surg, New York, NY 10021 USAMem Sloan Kettering Canc Ctr, Dept Epidemiol & Biostat, New York, NY 10021 USA
Brennan, Murray F.
Panageas, Katherine S.
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Mem Sloan Kettering Canc Ctr, Dept Epidemiol & Biostat, New York, NY 10021 USAMem Sloan Kettering Canc Ctr, Dept Epidemiol & Biostat, New York, NY 10021 USA
机构:
Mayo Clin, Div Clin Trials & Biostat, 200 First St SW, Rochester, MN 55905 USAMayo Clin, Div Clin Trials & Biostat, 200 First St SW, Rochester, MN 55905 USA
Le-Rademacher, Jennifer G.
Therneau, Terry M.
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Mayo Clin, Div Clin Trials & Biostat, 200 First St SW, Rochester, MN 55905 USAMayo Clin, Div Clin Trials & Biostat, 200 First St SW, Rochester, MN 55905 USA
Therneau, Terry M.
Ou, Fang-Shu
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Mayo Clin, Div Clin Trials & Biostat, 200 First St SW, Rochester, MN 55905 USAMayo Clin, Div Clin Trials & Biostat, 200 First St SW, Rochester, MN 55905 USA
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Univ Minho, Dept Mat Sci & Technol, P-4810 Azurem, Guimaraes, PortugalUniv Minho, Dept Mat Sci & Technol, P-4810 Azurem, Guimaraes, Portugal
Meira-Machado, Luis
de Una-Alvarez, Jacobo
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Univ Vigo, Dept Stat & Operat Res, Vigo, SpainUniv Minho, Dept Mat Sci & Technol, P-4810 Azurem, Guimaraes, Portugal
de Una-Alvarez, Jacobo
Cadarso-Suarez, Carmen
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机构:
Univ Santiago de Compostela, Dept Stat & Operat Res, Santiago De Compostela, SpainUniv Minho, Dept Mat Sci & Technol, P-4810 Azurem, Guimaraes, Portugal
Cadarso-Suarez, Carmen
Andersen, Per K.
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Univ Copenhagen, Dept Biostat, DK-1168 Copenhagen, DenmarkUniv Minho, Dept Mat Sci & Technol, P-4810 Azurem, Guimaraes, Portugal