Chapter 18 Estimating the Hazard Ratio What is the hazard?
Since the hazard is a function of time, the hazard ratio, say, for exposed versus unexposed, is also a function of time; it may be different at different times of follow up For example, if the exposure is some surgery (vs no surgery), the hazard ratio of death may take values as follows: Time since baseline Hazard ratio 1 day 9 2 days 3 5
Odds Ratio, Hazard Ratio and Relative Risk
Odds Ratio, Hazard Ratio and Relative Risk 63 Table 5: Examples of RR and OR for different probabilities ˇ 1 ˇ 2 RR OR 4 1 4 6 2 3 67 58 04 01 4 4 125 02 03 67 66 Hazard ratio (HR) Broadly equivalent to relative risk (RR); useful when the risk is not constant with respect to time It uses information collected at different times The
Meta-Analysis of Hazard Ratios
is the (log) hazard rate This statistic is chosen because it can be calculated from time-to-event data with censoring and because it measures the size of the difference between two Kaplan-Meier curves The Cox-Mantel estimate of the hazard ratio is formed by dividing the hazard rate under treatment by the hazard rate under control
Point Estimation: Odds Ratios, Hazard Ratios/Rates, Risk
Survival (S(t)) vs Hazard (h(t)) Not the same thing Hard to ‘envision’ the difference technically, it is the the negative of the slope of the log of the survival curve Yikes don’t worry though the statisticians deal with this stuff just remember: the hazard ratio is not the ratio of the survival curves
Statistiques et essais cliniques
avec différents traitements On utilise le hazard ratio (HR) pour quantifier l’effet du traitement HR est le rapport des risques instantanés dans le groupe traité (h1) divisé par le risque dans le groupe contrôle (h0) En général, HR n’est pas constant mais est une fonction du temps Si le
Restricted mean survival v hazard ratios in oncology
Equipe METHODS, Centre de Recherche Epidémiologie et Statistique Sorbonne Paris Cité INSERM U1153, Université Paris Descartes, AP-HP, France ONCOSTAT Symposium October th20 , 2016 Background • Survival outcomes are most common in cancer trials (OS, PFS, ) • The hazard ratio (HR) is the preferred measure of the treatment
Competing Risks - What, Why, When and How?
Hazard Ratio Age group Cause-speci c HR P-value 95 CI 18-59 1 00 - - 60-84 0 96 0 073 0 92 to 1 01 85+ 2 11
Design and analysis of survival data with non-proportional
Centre de Recherche Épidémiologie et Statistique Sorbonne Paris Cité (CRESS-UMR1153), Inserm ; Université Paris Descartes ; AP-HP, Hôtel-Dieu, Paris, France The hazard ratio (HR) is the preferred measure of treatment effect in oncology clinical trials
Survival Analysis: Logrank Test - Stanford University
Sensitive to the early differences between two hazard functions 16 The Generalized Logrank test In general, the test statistics is in the form of Zw =
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