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Proportional hazards model

Proportional hazards models are a class of survival models in statistics. Survival models relate the time that passes, before some event occurs, to one or more covariates that may be associated with that quantity of time. In a proportional hazards model, the unique effect of a unit increase in a covariate is multiplicative with respect to the hazard…

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The Cox model

Sir David CoxProportional relationshipUnidentifiablePartial likelihoodCensoring pattern
11 related topics

Software implementations

MathematicaSASStataPythonSPSS
8 related topics

Time-varying predictors and coefficients

Time-varying covariatesMorbidityR packageAdditive hazards modelsLeast squares
5 related topics

Specifying the baseline hazard function

Weibull hazard functionSemiparametric model
2 related topics

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Overview

Background

The Cox model

Time-varying predictors and coefficients

Specifying the baseline hazard function

Relationship to Poisson models

Under high-dimensional setup

Software implementations

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Proportional hazards model

Nodes46
Edges45
Triples49
Avg. degree1.96
Density0.043478
Components1

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Proportional hazards model

Top relations

related to Likelihood for unique times · 13
Proportional hazards model → Breslow's, Covariates, It, Li, Obviously, The, The Cox, To, Xi, Y1, Y2, Yi, YM
related to Introduction · 10
Proportional hazards model → Cox, However, Let Xi, Note, Sir David Cox, The, This, Xi, Xi1, Xip
related to Relationship to Poisson models · 9
Proportional hazards model → Laird, McCullagh, Nelder's, Olivier, Poisson, The, There, They, This
related to References · 6
Proportional hazards model → Brent, Calibrating, Oeyen, Quantitative Finance, Rallis, Themis
related to Specifying the baseline hazard function · 5
Proportional hazards model → For, In, Incidentally, The Cox, Weibull

Important terminology Word statistics

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Important terminology

hazard displaystyle hazards proportional model beta time baseline lambda exp cox survival covariates models likelihood function cdot ratio event frac

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
accelerated failure time models do not exhibit proportional hazardsinstance ofOther types of survival models0.80text
treatment assignmentinstance ofA typical medical example would include covariates0.80text
as well as patient characteristics such as age at start of studyinstance ofA typical medical example would include covariates0.80text
genderinstance ofA typical medical example would include covariates0.80text
and the presence of other diseases at start of studyinstance ofA typical medical example would include covariates0.80text
in order to reduce variability and/or control for confounding.The proportional hazards condition states that covariates are multiplicatively related to the hazardinstance ofA typical medical example would include covariates0.80text
Proportional hazards modelrelated to IntroductionSir David Cox0.60section
Proportional hazards modelrelated to IntroductionThis0.60section
Proportional hazards modelrelated to IntroductionCox0.60section
Proportional hazards modelrelated to IntroductionHowever0.60section
Proportional hazards modelrelated to IntroductionLet Xi0.60section
Proportional hazards modelrelated to IntroductionXi10.60section

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