Patricia Grambsch
Patricia Louise Meller Grambsch | |
---|---|
Nationality | American |
Alma mater | University of Minnesota |
Occupation | Biostatistician |
Patricia Louise Meller Grambsch is an American biostatistician known for her work on survival models including proportional hazards models. With Terry M. Therneau, she developed the Grambsch–Therneau test, a statistical method used to check the assumptions of the Cox model. She is an associate professor emerita of biostatistics at the University of Minnesota.[1]
Education and career
[edit]Grambsch completed her Ph.D. in 1980 at the University of Minnesota, with the dissertation Conditional Likelihood Inference supervised by David Hinkley.[2] Before returning to Minnesota as a faculty member, she worked in the survival analysis group at the Mayo Clinic for five years, from 1985 to 1990.[3]
Research
[edit]Grambsch's research has focused on survival analysis and diagnostic methods for statistical models. Her most notable work is on proportional hazards models used in modern survival analysis.
Grambsch–Therneau test
[edit]In 1994, Grambsch and her colleague Terry M. Therneau published the paper "Proportional hazards tests and diagnostics based on weighted residuals" in Biometrika.[4] The paper introduced a formal statistical test, known as the Grambsch–Therneau test, to assess the validity of the proportional hazards assumption in the Cox proportional hazards model. The test is based on the correlation between scaled Schoenfeld residuals and a function of time.[5] A non-zero correlation suggests that the assumption is violated.[6] This method is a standard diagnostic tool implemented in many statistical software packages, including R, SAS, and Stata.[7]
Recognition
[edit]Grambsch was elected as a Fellow of the American Statistical Association in 1996.[8]
Selected works
[edit]- Therneau, Terry M.; Grambsch, Patricia M. (2000). Modeling Survival Data: Extending the Cox Model. Springer. ISBN 978-0-387-98784-2.[9]
- Grambsch, P. M.; Therneau, T. M. (1994). "Proportional hazards tests and diagnostics based on weighted residuals". Biometrika. 81 (3): 515–526. doi:10.1093/biomet/81.3.515.[4]
References
[edit]- ^ "Patricia Grambsch, PhD, Associate Professor Emerita, Division of Biostatistics", School of Public Health Directory, University of Minnesota, retrieved 2020-06-20
- ^ Patricia Grambsch at the Mathematics Genealogy Project
- ^ Research departments and divisions: Survival analysis, Mayo Clinic, retrieved 2020-06-20
- ^ a b Grambsch, Patricia M.; Therneau, Terry M. (1994). "Proportional hazards tests and diagnostics based on weighted residuals". Biometrika. 81 (3): 515–526. doi:10.1093/biomet/81.3.515.
- ^ Royston, Patrick; Parmar, Mahesh KB (August 7, 2014). "An approach to trial design and analysis in the era of non-proportional hazards of the treatment effect". Trials.
- ^ "Methods and formulas for the tests for the proportional hazards assumption for Fit Cox Model". Minitab. Retrieved 2024-09-17.
- ^ "cox.zph: Test the Proportional Hazards Assumption of a Cox Regression". rdrr.io. Retrieved 2024-09-17.
- ^ ASA Fellows list, retrieved 2020-06-20
- ^ Reviews of Modeling Survival Data:
- Broström, Göran, zbMATH, Zbl 0958.62094
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: CS1 maint: untitled periodical (link) - Borgan, Ørnulf (2001), Statistics in Medicine, 20 (13): 2053–2054, doi:10.1002/sim.956
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: CS1 maint: untitled periodical (link) - Farewell, V. (June 2001), Biometrics, 57 (2): 652–653, JSTOR 3068390
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: CS1 maint: untitled periodical (link) - Prentice, Ross (September 2001), SIAM Review, 43 (3): 569–570, JSTOR 3649812
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: CS1 maint: untitled periodical (link) - Ugarte, M. Dolores (February 2002), Statistical Methods in Medical Research, 11 (1): 86–87, doi:10.1177/096228020201100108, S2CID 115686283
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: CS1 maint: untitled periodical (link) - Lin, Haiqun; Zelterman, Daniel (February 2002), Technometrics, 44 (1): 85–86, doi:10.1198/tech.2002.s656, JSTOR 1270694, S2CID 207781040
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: CS1 maint: untitled periodical (link) - Gray, Robert J. (March 2002), Journal of the American Statistical Association, 97 (457): 353–354, doi:10.1198/jasa.2002.s447, JSTOR 3085789, S2CID 121861513
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: CS1 maint: untitled periodical (link) - Chihara, Laura (May 2002), The American Mathematical Monthly, 109 (5): 488, JSTOR 2695667
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: CS1 maint: untitled periodical (link) - Mau, Jochen (February 2003), Metrika, 57 (1): 101–103, doi:10.1007/s001840200225, S2CID 189791867
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: CS1 maint: untitled periodical (link) - Li, Jui-Chung Allen (August 2003), Sociological Methods & Research, 32 (1): 117–120, doi:10.1177/0049124103031004005, S2CID 220516963
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: CS1 maint: untitled periodical (link) - Sengupta, Debasis (November 2003), Sankhyā: The Indian Journal of Statistics, 65 (4): 843–844
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: CS1 maint: untitled periodical (link)
- Broström, Göran, zbMATH, Zbl 0958.62094