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  2. Kaplan–Meier estimator - Wikipedia

    en.wikipedia.org/wiki/KaplanMeier_estimator

    The KaplanMeier estimator is one of the most frequently used methods of survival analysis. The estimate may be useful to examine recovery rates, the probability of death, and the effectiveness of treatment. It is limited in its ability to estimate survival adjusted for covariates; parametric survival models and the Cox proportional hazards ...

  3. Survival analysis - Wikipedia

    en.wikipedia.org/wiki/Survival_analysis

    The KaplanMeier estimator can be used to estimate the survival function. The Nelson–Aalen estimator can be used to provide a non-parametric estimate of the cumulative hazard rate function. These estimators require lifetime data.

  4. Relative survival - Wikipedia

    en.wikipedia.org/wiki/Relative_survival

    In epidemiology, relative survival (as opposed to overall survival and associated with excess hazard rates) is defined as the ratio of observed survival in a population to the expected or background survival rate. [3] It can be thought of as the kaplan-meier survivor function for a particular year, divided by the expected survival rate in that ...

  5. Hazard ratio - Wikipedia

    en.wikipedia.org/wiki/Hazard_ratio

    Kaplan-Meier curve illustrating overall survival based on volume of brain metastases.Elaimy et al. (2011) [6] In its simplest form, the hazard ratio can be interpreted as the chance of an event occurring in the treatment arm divided by the chance of the event occurring in the control arm, or vice versa, of a study.

  6. Logrank test - Wikipedia

    en.wikipedia.org/wiki/Logrank_test

    Logrank test. The logrank test, or log-rank test, is a hypothesis test to compare the survival distributions of two samples. It is a nonparametric test and appropriate to use when the data are right skewed and censored (technically, the censoring must be non-informative). It is widely used in clinical trials to establish the efficacy of a new ...

  7. Survival function - Wikipedia

    en.wikipedia.org/wiki/Survival_function

    The survival function is a function that gives the probability that a patient, device, or other object of interest will survive past a certain time. [1] The survival function is also known as the survivor function[2] or reliability function. [3] The term reliability function is common in engineering while the term survival function is used in a ...

  8. Recurrent event analysis - Wikipedia

    en.wikipedia.org/wiki/Recurrent_event_analysis

    Recurrent event analysis. Recurrent event analysis is a branch of survival analysis that analyzes the time until recurrences occur, such as recurrences of traits or diseases. Recurrent events are often analyzed in social sciences and medical studies, for example recurring infections, depressions or cancer recurrences.

  9. Accelerated failure time model - Wikipedia

    en.wikipedia.org/wiki/Accelerated_failure_time_model

    Accelerated failure time model. In the statistical area of survival analysis, an accelerated failure time model (AFT model) is a parametric model that provides an alternative to the commonly used proportional hazards models. Whereas a proportional hazards model assumes that the effect of a covariate is to multiply the hazard by some constant ...