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On the interpretation of the hazard ratio in Cox regression
Biometrical Journal, 2019AbstractWe argue that the term “relative risk” should not be used as a synonym for “hazard ratio” and encourage to use the probabilistic index as an alternative effect measure for Cox regression. The probabilistic index is the probability that the event time of an exposed or treated subject exceeds the event time of an unexposed or untreated subject ...
Jan De Neve, Thomas A. Gerds
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International Encyclopedia of Statistical Science, 2011 The two-sample proportional hazards model is studied and a series of semiparametric estimators for the (constant) hazard ratio are presented. These include both Cox's maximum partial likelihood estimator and explicit rank-type estimators.
P. Andersen
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Estimation of the Average Hazard Ratio
Biometrika, 1981SUMMARY Simple estimators of the average hazard ratio are obtained for the two sample problem with censored failure time data. These estimators are compared with estimators arising out of the partial likelihood within the proportional hazards class. Efficiency results are found to be generally quite favourable provided the hazard ratio is not too large.
John D. Kalbfleisch, Ross L. Prentice
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An explanation of the hazard ratio
Pharmaceutical Statistics, 2004Several months ago someone attended a course for non-statisticians that I was running and said, ‘If I can go away from this course understanding what a hazard ratio is then it will have been worthwhile!’ Well, here goes. The hazard ratio, like the odds ratio, is not only difficult to explain but its use and interpretation continue to confuse both ...
R. Kay
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Nonparametric Estimation of the Hazard Ratio
Journal of the American Statistical Association, 1984Abstract A nonparametric estimate of the hazard ratio function is developed and applied to the time-dependent survival advantage of having achieved an objective response to treatment for a given disease. The method computes the total exposure to risk of failure, or dying, among patients in either of two disease states (nonresponder/responder).
H. Thaler
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Interpreting hazard ratios [PDF]
BMJ, 2015 The impact of isoniazid prophylaxis on mortality and tuberculosis in children with HIV was investigated using a double blind placebo controlled trial. The intervention was isoniazid given with co-trimoxazole either daily or three times a week. Control treatment was placebo isoniazid given with co-trimoxazole.
Katherine Joekes, Philip Sedgwick
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Hazards and hazard ratios [PDF]
BMJ, 2012 Researchers investigated the risk of colorectal cancer after screening with flexible sigmoidoscopy. A randomised controlled study was undertaken in Norway with a population based sample. The intervention consisted of once only flexible sigmoidoscopy screening with or without a single round of faecal occult blood testing.
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Journal of Clinical Oncology, 2016
PURPOSE We aimed to compare empirically the treatment effects measured by the hazard ratio (HR) and by the difference (and ratio) of restricted mean survival times (RMST) in oncology randomized trials. METHODS We selected oncology randomized controlled
L. Trinquart +3 more
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PURPOSE We aimed to compare empirically the treatment effects measured by the hazard ratio (HR) and by the difference (and ratio) of restricted mean survival times (RMST) in oncology randomized trials. METHODS We selected oncology randomized controlled
L. Trinquart +3 more
semanticscholar +1 more source
Bayesian analysis for monotone hazard ratio
Lifetime Data Analysis, 2010We propose a Bayesian approach for estimating the hazard functions under the constraint of a monotone hazard ratio. We construct a model for the monotone hazard ratio utilizing the Cox's proportional hazards model with a monotone time-dependent coefficient.
Gwangsu Kim, Yongdai Kim, Jin Kyung Park
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On Hazard Ratios and Magnitude of Impact on Prognosis
Annals of Surgery, 2009[Sergeant, Gregory; Topal, Baki] Katholieke Univ Leuven Hosp, Dept Abdominal Surg, Louvain, Belgium. [Fieuws, Steffen] Katholieke Univ Leuven, I Biostat, Louvain, Belgium. [Fieuws, Steffen] Univ Hasselt, Louvain, Belgium.
Koert P. de Jong +2 more
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