Patricia Grambsch
{{short description|American biostatistician}}
{{use mdy dates|cs1-dates=ly|date=June 2020}}
{{Infobox person
| name = Patricia Louise Meller Grambsch
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| nationality = American
| alma_mater = University of Minnesota
| occupation = Biostatistician
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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.{{r|em}}
Education and career
Grambsch completed her Ph.D. in 1980 at the University of Minnesota, with the dissertation Conditional Likelihood Inference supervised by David Hinkley.{{r|mg}} 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.{{r|mc}}
Research
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 =
In 1994, Grambsch and her colleague Terry M. Therneau published the paper "Proportional hazards tests and diagnostics based on weighted residuals" in Biometrika.{{cite journal |last1=Grambsch |first1=Patricia M. |last2=Therneau |first2=Terry M. |date=1994 |title=Proportional hazards tests and diagnostics based on weighted residuals |journal=Biometrika |volume=81 |issue=3 |pages=515–526 |doi=10.1093/biomet/81.3.515}} 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.{{Cite journal |last=Royston |first=Patrick |last2=Parmar |first2=Mahesh KB |date=2014-08-07 |title=An approach to trial design and analysis in the era of non-proportional hazards of the treatment effect |url=https://trialsjournal.biomedcentral.com/articles/10.1186/1745-6215-15-314 |journal=Trials}} A non-zero correlation suggests that the assumption is violated.{{cite web |title=Methods and formulas for the tests for the proportional hazards assumption for Fit Cox Model |url=https://support.minitab.com/en-us/minitab/help-and-how-to/statistical-modeling/reliability/how-to/cox-regression/with-fixed-predictors-only/methods-and-formulas/tests-for-proportional-hazards/ |access-date=2024-09-17 |publisher=Minitab}} This method is a standard diagnostic tool implemented in many statistical software packages, including R, SAS, and Stata.{{cite web |title=cox.zph: Test the Proportional Hazards Assumption of a Cox Regression |url=https://rdrr.io/cran/survival/man/cox.zph.html |access-date=2024-09-17 |publisher=rdrr.io}}
Recognition
Grambsch was elected as a Fellow of the American Statistical Association in 1996.{{r|fa}}
Selected works
- {{cite book |last1=Therneau |first1=Terry M. |title=Modeling Survival Data: Extending the Cox Model |last2=Grambsch |first2=Patricia M. |date=2000 |publisher=Springer |isbn=978-0-387-98784-2}}{{r|ms}}
- {{cite journal |last1=Grambsch |first1=P. M. |last2=Therneau |first2=T. M. |date=1994 |title=Proportional hazards tests and diagnostics based on weighted residuals |journal=Biometrika |volume=81 |issue=3 |pages=515–526 |doi=10.1093/biomet/81.3.515}}
References
{{reflist|refs=
Reviews of Modeling Survival Data:
- {{citation|last=Broström|first=Göran|journal=zbMATH|title=none|zbl=0958.62094}}
- {{citation|last=Borgan|first=Ørnulf|doi=10.1002/sim.956|issue=13|journal=Statistics in Medicine|pages=2053–2054|title=none|volume=20|year=2001}}
- {{citation|last=Farewell|first=V.|date=June 2001|issue=2|journal=Biometrics|jstor=3068390|pages=652–653|title=none|volume=57}}
- {{citation|last=Prentice|first=Ross|date=September 2001|issue=3|journal=SIAM Review|jstor=3649812|pages=569–570|title=none|volume=43}}
- {{citation|last=Ugarte|first=M. Dolores|date=February 2002|doi=10.1177/096228020201100108|issue=1|journal=Statistical Methods in Medical Research|pages=86–87|title=none|volume=11|s2cid=115686283}}
- {{citation|last1=Lin|first1=Haiqun|last2=Zelterman|first2=Daniel|date=February 2002|doi=10.1198/tech.2002.s656|issue=1|journal=Technometrics|jstor=1270694|pages=85–86|title=none|volume=44|s2cid=207781040}}
- {{citation|last=Gray|first=Robert J.|date=March 2002|doi=10.1198/jasa.2002.s447|issue=457|journal=Journal of the American Statistical Association|jstor=3085789|pages=353–354|title=none|volume=97|s2cid=121861513}}
- {{citation|last=Chihara|first=Laura|date=May 2002|issue=5|journal=The American Mathematical Monthly|jstor=2695667|page=488|title=none|volume=109}}
- {{citation|last=Mau|first=Jochen|date=February 2003|doi=10.1007/s001840200225|issue=1|journal=Metrika|pages=101–103|title=none|volume=57|s2cid=189791867}}
- {{citation|last=Li|first=Jui-Chung Allen|date=August 2003|doi=10.1177/0049124103031004005|issue=1|journal=Sociological Methods & Research|pages=117–120|title=none|volume=32|s2cid=220516963}}
- {{citation|last=Sengupta|first=Debasis|date=November 2003|issue=4|journal=Sankhyā: The Indian Journal of Statistics|pages=843–844|title=none|volume=65}}
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{{Authority control}}
{{DEFAULTSORT:Grambsch, Patricia}}
Category:American women statisticians
Category:American biostatisticians
Category:University of Minnesota alumni
Category:University of Minnesota faculty