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Aalen Plots Under Proportional Hazards
Applied Statistics, 1991Summary: Mau's graphical method for the detection of time-dependent effects of covariates in survival data is based on a linear model for the hazard function suggested by Aalen. The performance of the technique under the more common Cox proportional hazards model is considered and a modification designed to aid interpretation is suggested.
Henderson, R., Milner, A.
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Tree-Structured Proportional Hazards Regression Modeling
Biometrics, 1994A method for fitting piecewise proportional hazards models to censored survival data is described. Stratification is performed recursively, using a combination of statistical tests and residual analysis. The bootstrap is employed to keep the probability of a Type I error (the error of discovering two or more strata when there is only one) of the method
Ahn, Hongshik, Loh, Wei-Yin
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2021
We consider several models that describe survival in the presence of observable covariates, these covariates measuring subject heterogeneity. The most general situation can be described by a model with a parameter of high, possibly unbounded, dimension.
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We consider several models that describe survival in the presence of observable covariates, these covariates measuring subject heterogeneity. The most general situation can be described by a model with a parameter of high, possibly unbounded, dimension.
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2011
This chapter discusses the most widely used regression models in competing risks. Following an introduction in Section 5.1, Section 5.2 discusses proportional cause-specific hazards models, and Section 5.3 discusses the proportional subdistribution hazards model. The cause-specific hazards are as defined in Chapter 3.
Jan Beyersmann +2 more
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This chapter discusses the most widely used regression models in competing risks. Following an introduction in Section 5.1, Section 5.2 discusses proportional cause-specific hazards models, and Section 5.3 discusses the proportional subdistribution hazards model. The cause-specific hazards are as defined in Chapter 3.
Jan Beyersmann +2 more
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Biometrika, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Proportional Hazards Regression
2002AbstractThis chapter relaxed the parametrically restrictive parameterization for time considered in Chapter 8, adopting instead a nonparametric set of models in which the exact form for the effect of time was left as an arbitrary function. This proportional hazards (or Cox) model provides a very rich framework for data analysis, enabling not only the ...
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Mixtures of proportional hazards regression models
Statistics in Medicine, 1999This paper presents a mixture model which combines features of the usual Cox proportional hazards model with those of a class of models, known as mixtures-of-experts. The resulting model is more flexible than the usual Cox model in the sense that the log hazard ratio is allowed to vary non-linearly as a function of the covariates.
O, Rosen, M, Tanner
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The Proportional Hazards Model
1988In this chapter and Chapter 7, we will consider models of the length of time until recidivism that contain individual characteristics as explanatory variables. The models of Chapter 7 will be parametric models in the sense that they will assume a particular distribution for the survival times; for example, we will estimate a model based on the ...
Peter Schmidt, Ann Dryden Witte
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Non-proportional hazards models
2021The most general model, described in Chapter 4 covers a very broad spread of possibilities and, in this chapter, we consider some special cases.
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Cox proportional hazards regression
BMJ, 2013Researchers measured the effect on one year mortality of secondary drug prevention for patients with stroke in routine primary care. They used a cohort study design, which incorporated patient data from the health improvement network primary care database. Participants were 12 830 patients aged 50 years or more from 113 general practices.
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