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Expected Survival in the Cox Model
Author(s) -
Nielsen Bent
Publication year - 1997
Publication title -
scandinavian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.359
H-Index - 65
eISSN - 1467-9469
pISSN - 0303-6898
DOI - 10.1111/1467-9469.00063
Subject(s) - survival analysis , mathematics , kaplan–meier estimator , proportional hazards model , statistics , consistency (knowledge bases) , survival function , hazard ratio , hazard , cancer survival , econometrics , medicine , confidence interval , cancer , chemistry , geometry , organic chemistry
The survival in a group of patients is calculated using a Kaplan–Meier curve and the hypothesis that the survival can be predicted by a specified Cox hazard is studied. This Cox hazard is obtained from a previous study of similar patients. A simple test of the hypothesis is constructed by comparing a suitable average of the individual predicted survival curves with the observed survival. Three averaging procedures are presented; “direct adjusted survival curve”, “Bonsel’s survival curve” and “expected survival curve”. Consistency and asymptotic distribution properties of the comparisons are discussed.