A note on methods for analysis of time to event data and interpretation of hazard ratio.
Trkulja V, Hrabač P.
europepmc +6 more sources
Causal interpretation of the hazard ratio in randomized clinical trials. [PDF]
Background: Although the hazard ratio has no straightforward causal interpretation, clinical trialists commonly use it as a measure of treatment effect. Methods: We review the definition and examples of causal estimands.
Fay MP, Li F.
europepmc +2 more sources
Cardiovascular disease burden from ambient air pollution in Europe reassessed using novel hazard ratio functions. [PDF]
Aims Ambient air pollution is a major health risk, leading to respiratory and cardiovascular mortality. A recent Global Exposure Mortality Model, based on an unmatched number of cohort studies in many countries, provides new hazard ratio functions ...
Lelieveld J +6 more
europepmc +2 more sources
Instrumental Variable Estimation of the Causal Hazard Ratio [PDF]
AbstractCox's proportional hazards model is one of the most popular statistical models to evaluate associations of exposure with a censored failure time outcome. When confounding factors are not fully observed, the exposure hazard ratio estimated using a Cox model is subject to unmeasured confounding bias.
Linbo Wang +3 more
openaire +4 more sources
How Do the Accrual Pattern and Follow-Up Duration Affect the Hazard Ratio Estimate When the Proportional Hazards Assumption Is Violated? [PDF]
In randomized clinical trials, the magnitude of the treatment effect is often reported using the hazard ratio (HR) even when the proportional hazards (PH) assumption is not met.
Horiguchi M, Hassett MJ, Uno H.
europepmc +2 more sources
Odds ratio, hazard ratio and relative risk
Odds ratio (OR) is a statistic commonly encountered in professional or scientific medical literature. Most readers perceive it as relative risk (RR), although most of them do not know why that would be true. But since such perception is mostly correct, there is nothing (or almost nothing) wrong with that.
Janez Stare, Delphine Maucort-Boulch
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The median hazard ratio: a useful measure of variance and general contextual effects in multilevel survival analysis. [PDF]
Multilevel data occurs frequently in many research areas like health services research and epidemiology. A suitable way to analyze such data is through the use of multilevel regression models (MLRM). MLRM incorporate cluster‐specific random effects which
Austin PC, Wagner P, Merlo J.
europepmc +2 more sources
Hazard Ratio in Clinical Trials [PDF]
Time-to-event curves analyzed by Cox proportional hazards regression are commonly used to describe the outcome of drug studies. This methodology has the advantage of using all available information, including patients who fail to complete the trial, such as in cancer chemotherapy or human immunodeficiency virus antiviral treatment studies.
Spotswood L, Spruance +3 more
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smoothHR: an R package for pointwise nonparametric estimation of hazard ratio curves of continuous predictors. [PDF]
The Cox proportional hazards regression model has become the traditional choice for modeling survival data in medical studies. To introduce flexibility into the Cox model, several smoothing methods may be applied, and approaches based on splines are the ...
Meira-Machado L +3 more
europepmc +2 more sources
Optimal approximate conversions of odds ratios and hazard ratios to risk ratios
AbstractOdds ratios approximate risk ratios when the outcome under consideration is rare but can diverge substantially from risk ratios when the outcome is common. In this paper, we derive optimal analytic conversions of odds ratios and hazard ratios to risk ratios that are minimax for the bias ratio when outcome probabilities are specified to fall in ...
T. VanderWeele
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