کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1154846 958416 2006 5 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On a connection between the Bradley–Terry model and the Cox proportional hazards model
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آمار و احتمال
پیش نمایش صفحه اول مقاله
On a connection between the Bradley–Terry model and the Cox proportional hazards model
چکیده انگلیسی

This article addresses a connection between the Bradley and Terry [1952a. The rank analysis of incomplete block designs. I. The method of paired comparisons. Biometrika 39, 324–345] model and Cox [1972. Regression models and life-tables. J. Roy. Statist. Soc. B 24, 187–220 (with discussion)] proportional hazards model. We show that the partial likelihood of random variables that satisfy the stratified proportional hazards assumption of Cox [1972. Regression models and life-tables. J. Roy. Statist. Soc. B 24, 187–220 (with discussion)] coincides with the likelihood given by the Bradley–Terry (BT) model for rank order events. Such a connection not only allows many available software for the Cox model to be used for regression analysis based on the BT model, but also enables the new developments to fit certain rank order data by using ideas that stem from the Cox model and its extensions available in many recent literatures from survival analysis.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Statistics & Probability Letters - Volume 76, Issue 7, 1 April 2006, Pages 698–702
نویسندگان
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