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Biostatistics
Article
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Biostatistics
Article . 2005 . Peer-reviewed
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Biostatistics
Article . 2005
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Tree-augmented Cox proportional hazards models

Authors: Su, Xiaogang; Tsai, Chih Ling;

Tree-augmented Cox proportional hazards models

Abstract

We study a hybrid model that combines Cox proportional hazards regression with tree-structured modeling. The main idea is to use step functions, provided by a tree structure, to 'augment' Cox (1972) proportional hazards models. The proposed model not only provides a natural assessment of the adequacy of the Cox proportional hazards model but also improves its model fitting without loss of interpretability. Both simulations and an empirical example are provided to illustrate the use of the proposed method.

Country
United States
Related Organizations
Keywords

Male, Biometry, Censored data models, STRUCTURED SURVIVAL ANALYSIS, Statistics & Probability, CORONARY HEART-DISEASE, survival, censored survival times, WESTERN, California, Applications of statistics to biology and medical sciences; meta analysis, FOLLOW-UP EXPERIENCE, REGRESSION, BIC, Humans, Prospective Studies, Censored survival times, Proportional Hazards Models, Models, Statistical, Western Collaborative Group Study, MORTALITY, RESIDUALS, trees, Middle Aged, Cox proportional hazards models, Survival Analysis, Survival trees, Time series, auto-correlation, regression, etc. in statistics (GARCH), Cardiovascular Diseases, COLLABORATIVE GROUP, TESTS, Mathematical & Computational Biology, Monte Carlo Method, GOODNESS, cardiovascular epidemiology

  • BIP!
    Impact byBIP!
    citations
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    16
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Average
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Average
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
16
Top 10%
Average
Average
bronze