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An Evaluation of the Weibull and the Logistic Models for Cox's Proportional Hazards Model

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Authors

Lee, Moo-Song; Lee, Youngjo; Yoo, Keun-Young; Noh, Dong-Young; Choe, Kuk-Jin

Issue Date
1992-06
Publisher
Seoul National University College of Medicine
Citation
Seoul J Med, Vol.33 No.2, pp. 97-103
Keywords
Cox's proportional hazards modelLogistic modelPC-SAS systemSurvival analysisWeibull model
Abstract
Cox's proportional hazards model has been widely used in medical
researches to evaluate the relationship between prognostic factors of a disease and the
occurrence of outcome event. On a theoretical basis, regression coefficient estimated
from Cox's proportional hazards model could be approximated by using the Weibull
and the logistic model. Breast cancer cases (n=86) diagnosed at the Seoul National
University Hospital were selected to evaluate the possibility of some accelerated models
as an approximate model to Cox's proportional hazards model. Age at operation,
tumor size and lymph node metastasis were the variables concerned in this study. Parameter
estimates of two variables from the Weibull model, which seemed not to violate
the proportionality assumption of Cox's model, showed almost identical values to those
from Cox's proportional hazards model. However, there was a substantial degree of
discrepancy in the parameter estimate of another variable, which showed an apparent
unproportionality. This study confirmed that both the Weibull and the logistic models
could be used as approximate methods to the estimates from Cox's proportional
hazards model. Particularly noteworthy was the fact that the PC-SAS system could be
successfully applied to survival analysis when the parameters were going to be
estimated using Cox's model.
ISSN
0582-6802
Language
English
URI
https://hdl.handle.net/10371/6345
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College of Medicine/School of Medicine (의과대학/대학원)Dept. of Medicine (의학과)The Seoul Journal of MedicineThe Seoul Journal of Medicine Vol. 33 No.2 (1992)
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