Proportional hazards models are a class of survival models in statistics. Survival models relate the time that passes, before some event occurs, to one or more covariates that may be associated with that quantity of time. In a proportional hazards model, the unique effect of a unit increase in a covariate is multiplicative with respect to the hazard rate. For example, taking a drug may halve one's hazard rate for a stroke occurring, or, changing the material from which a manufactured component is constructed may double its hazard rate for failure. Other types of survival models such as accelerated failure time models do not exhibit proportional hazards. The accelerated failure time model describes a situation where the biological or mechanical life history of an event is accelerated (or decelerated).
and 23 Related for: Proportional hazards model information
of time. In a proportionalhazardsmodel, the unique effect of a unit increase in a covariate is multiplicative with respect to the hazard rate. For example...
_{k}X_{k}{\big )}.} Such models are generally classed proportionalhazards regression models; the best known being the Cox proportionalhazardsmodel, and the exponential...
they first see the clinician. The Cox model assumes that the hazards are proportional. The proportionalhazard assumption may be tested using the R function...
instantaneous hazards of progression to one state, conditional on occupying another state. Extensions of the Cox proportionalhazardmodels are popular models in...
{w} \cdot \mathbf {x} ))} which gives the proportionalhazardsmodel. The probit version of the above model can be justified by assuming the existence...
_{0}^{t}h(v)dv=-ln(S(t))} The hazard function h(t|x,θ){\displaystyle h(t|\mathbf {x} ,\mathbf {\theta } )} of the Hypertabastic proportionalhazardsmodel has the form...
logrank statistic can be derived as the score test for the Cox proportionalhazardsmodel comparing two groups. It is therefore asymptotically equivalent...
nonparametric models. These models often use smoothing or kernels. A well-known example of a semiparametric model is the Cox proportionalhazardsmodel. If we...
regression creates proportionalhazardsmodels, one class of survival analysis: see proportionalhazardsmodels for descriptions of Cox models. When estimating...
Proportionate allocation uses a sampling fraction in each of the strata that are proportional to that of the total population. For instance, if the population consists...
component of the proportionalhazardsmodel: using a restriction on the hazard function, the likelihood does not contain the shape of the hazard over time....
regression, and for some non-linear regression models. Other non-linear models, such as proportionalhazardsmodels for survival analysis, have been considered...
estimated from data when doing regression analysis (in particular proportionalhazardsmodels in survival analysis and logistic regression) while keeping the...
the Red Wood Ant (Formica polyctena): An Analysis Based on the ProportionalHazardsModel." Journal of Animal Ecology. 54 (3). "Cinnabar | The Wildlife...
making the width of the box proportional to the size of the group. A popular convention is to make the box width proportional to the square root of the...
well a statistical model fits observations by summarizing the discrepancy between observed values and the values expected under the model Multiple correlation...
Propensity score Propensity score matching Proper linear modelProportionalhazardsmodelsProportional reduction in loss Prosecutor's fallacy Proxy (statistics)...
Analysis of variance (ANOVA) is a collection of statistical models and their associated estimation procedures (such as the "variation" among and between...
Different links g lead to ordinal regression models like proportional odds models or ordered probit models. If the response variable is a nominal measurement...
Panel models Cox proportional hazardsmodel Neural networks Classification trees Jarrow–Turnbull model Merton model KMV model Bankopedia:PD Definition FT...
Global Information