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  2. Kaplan–Meier estimator - Wikipedia

    en.wikipedia.org/wiki/KaplanMeier_estimator

    An example of a KaplanMeier plot for two conditions associated with patient survival. The KaplanMeier estimator, [1] [2] also known as the product limit estimator, is a non-parametric statistic used to estimate the survival function from lifetime data. In medical research, it is often used to measure the fraction of patients living for a ...

  3. Survival analysis - Wikipedia

    en.wikipedia.org/wiki/Survival_analysis

    This example of a survival tree analysis uses the R package "rpart". [8] The example is based on 146 stage C prostate cancer patients in the data set stagec in rpart. Rpart and the stagec example are described in Atkinson and Therneau (1997), [9] which is also distributed as a vignette of the rpart package. [8] The variables in stages are:

  4. Nelson–Aalen estimator - Wikipedia

    en.wikipedia.org/wiki/Nelson–Aalen_estimator

    It can be used for example when testing the homogeneity of Poisson processes. [3] It was constructed by Wayne Nelson and Odd Aalen. [4] [5] [6] The Nelson-Aalen estimator is directly related to the Kaplan-Meier estimator and both maximize the empirical likelihood. [7]

  5. Survival function - Wikipedia

    en.wikipedia.org/wiki/Survival_function

    The graphs below show examples of hypothetical survival functions. The x-axis is time. The y-axis is the proportion of subjects surviving. The graphs show the probability that a subject will survive beyond time t. Four survival functions. For example, for survival function 1, the probability of surviving longer than t = 2 months is 0.37. That ...

  6. Accelerated failure time model - Wikipedia

    en.wikipedia.org/wiki/Accelerated_failure_time_model

    In full generality, the accelerated failure time model can be specified as [2] (|) = ()where denotes the joint effect of covariates, typically = ⁡ ([+ +]). (Specifying the regression coefficients with a negative sign implies that high values of the covariates increase the survival time, but this is merely a sign convention; without a negative sign, they increase the hazard.)

  7. Relative survival - Wikipedia

    en.wikipedia.org/wiki/Relative_survival

    It can be thought of as the kaplan-meier survivor function for a particular year, divided by the expected survival rate in that particular year. That is typically known as the relative survival (RS). If five consecutive years are multiplied, the resulting figure would be known as cumulative relative survival (CRS). It is analogous to the five ...

  8. Logrank test - Wikipedia

    en.wikipedia.org/wiki/Logrank_test

    The logrank test is based on the same assumptions as the Kaplan-Meier survival curve—namely, that censoring is unrelated to prognosis, the survival probabilities are the same for subjects recruited early and late in the study, and the events happened at the times specified. Deviations from these assumptions matter most if they are satisfied ...

  9. Paul Meier (statistician) - Wikipedia

    en.wikipedia.org/wiki/Paul_Meier_(statistician)

    Paul Meier (July 24, 1924 – August 7, 2011) [1] was a statistician who promoted the use of randomized trials in medicine. [2] [3]Meier is known for introducing, with Edward L. Kaplan, the KaplanMeier estimator, [4] [5] a method for measuring how many patients survive a medical treatment from one duration to another, taking into account that the sampled population changes over time.