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Related papers: Risk ratios for contagious outcomes

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The hazard ratio, typically estimated using Cox's famous proportional hazards model, is the most common effect measure used to describe the association or effect of a covariate on a time-to-event outcome. In recent years the hazard ratio…

Methodology · Statistics 2026-01-15 Jonathan W. Bartlett , Dominic Magirr , Tim P. Morris

Hazard ratios are often used to evaluate time to event outcomes, but they may be hard to interpret. A particular issue arise because hazards are typically estimated conditional on survival, i.e.\ on left truncated samples. Then, hazard…

Methodology · Statistics 2018-03-23 Mats Julius Stensrud

The Risk Ratio (RR) is the ratio of the outcome among the exposed to risk of the outcome among the unexposed. This is a simple concept, which makes one wonder why it has not gained the same popularity as the odds ratio. Using logistic…

Applications · Statistics 2022-10-19 Murthy N Mittinty , John Lynch

In epidemiological cohort studies, the relative risk (also known as risk ratio) is a major measure of association to summarize the results of two treatments or exposures. Generally, it measures the relative change in disease risk as a…

Methodology · Statistics 2022-07-05 Gopal Nath , Krishna K. Saha , Suojin Wang

Randomized trials of infectious disease interventions, such as vaccines, often focus on groups of connected or potentially interacting individuals. When the pathogen of interest is transmissible between study subjects, interference may…

Applications · Statistics 2019-12-10 Daniel J. Eck , Olga Morozova , Forrest W. Crawford

Three statistical studies, all published between 2004 and 2008 but without referring to one another, assert a useful equivalence involving the hazard ratio, a parameter estimated for time to event data by the frequently used proportional…

Methodology · Statistics 2021-09-28 David M. Thompson , Julia E. Reid

It is emphasised that for epidemiological studies where disease incidence is rare, results from conventional proportional hazards models can often correctly estimate causal associations. The well-known "backdoor criteria" from…

Methodology · Statistics 2021-10-06 A. J. Webster

In randomized controlled trials (RCTs) of infectious disease interventions, it is well recognized that unmeasured individual heterogeneity at baseline can induce selection bias over time, thereby complicating the interpretation of the…

Methodology · Statistics 2026-04-24 Hiroyasu Ando , A. James O'Malley , Akihiro Nishi

The hazard ratio is one of the most commonly reported measures of treatment effect in randomised trials, yet the source of much misinterpretation. This point was made clear by (Hernan, 2010) in commentary, which emphasised that the hazard…

Statistics Theory · Mathematics 2018-10-23 Torben Martinussen , Stijn Vansteelandt , Per Kragh Andersen

Causal identification of treatment effects for infectious disease outcomes in interconnected populations is challenging because infection outcomes may be transmissible to others, and treatment given to one individual may affect others'…

Methodology · Statistics 2021-05-11 Xiaoxuan Cai , Eben Kenah , Forrest W. Crawford

Networks of person-person contacts form the substrate along which infectious diseases spread. Most network-based studies of the spread focus on the impact of variations in degree (the number of contacts an individual has). However, other…

Quantitative Methods · Quantitative Biology 2008-12-15 Joel C. Miller

The attributable risk, often called the population attributable risk, is in many epidemiological contexts a more relevant measure of exposure-disease association than the excess risk, relative risk, or odds ratio. When estimating…

Statistics Theory · Mathematics 2008-12-31 Daniel B. Rubin

It is known that the hazard ratio lacks a useful causal interpretation. Even for data from a randomized controlled trial, the hazard ratio suffers from built-in selection bias as, over time, the individuals at risk in the exposed and…

Statistics Theory · Mathematics 2022-11-01 Richard Post , Edwin van den Heuvel , Hein Putter

Identifying causal relationships for a treatment intervention is a fundamental problem in health sciences. Randomized controlled trials (RCTs) are considered the gold standard for identifying causal relationships. However, recent…

Methodology · Statistics 2020-06-24 Riddhiman Adib , Paul Griffin , Sheikh Iqbal Ahamed , Mohammad Adibuzzaman

Background: A wide range of diseases show some degree of clustering in families; family history is therefore an important aspect for clinicians when making risk predictions. Familial aggregation is often quantified in terms of a familial…

Applications · Statistics 2018-01-31 Morten Valberg , Mats Julius Stensrud , Odd O. Aalen

Standard measures of effect, including the risk ratio, the odds ratio, and the risk difference, are associated with a number of well-described shortcomings, and no consensus exists about the conditions under which investigators should…

Methodology · Statistics 2019-10-08 Anders Huitfeldt , Andrew Goldstein , Sonja A. Swanson

In epidemiological research, it is common to investigate the interaction between risk factors for an outcome such as a disease and hence to estimate the risk associated with being exposed for either or both of two risk factors under…

Methodology · Statistics 2020-08-05 Jesse Huang , Ingrid Kockum , Pernilla Stridh

The hazard ratio is routinely used as a summary measure to assess the treatment effect in clinical trials with time-to-event endpoints. It is frequently assumed as constant over time although this assumption often does not hold. When the…

A stochastic epidemic model is defined in which each individual belongs to a household, a secondary grouping (typically school or workplace) and also the community as a whole. Moreover, infectious contacts take place in these three settings…

Applications · Statistics 2009-08-17 Tom Britton , Theodore Kypraios , Philip O'Neill

This paper considers a stochastic SIR (susceptible$\to$infective$\to$removed) epidemic model in which individuals may make infectious contacts in two ways, both within `households' (which for ease of exposition are assumed to have equal…

Probability · Mathematics 2015-03-13 Frank Ball , David Sirl , Pieter Trapman
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