Analysis of Lifetime Data

Nonparametric and semiparametric methods for analyzing reliability and survival data

Survival analysis is time-to-event analysis, that is, when the outcome of interest is the time until an event occurs. Examples of time-to-events are the time until infection, reoccurrence of a disease, or recovery in health sciences; the duration of unemployment in economics; the time until the failure of a machine part or the lifetime of light bulbs in engineering, and so on.

To perform survival analysis:

Fit a model to your data. Use one or more of the functions listed on this page under Lifetime Data Analysis or Cox Proportional Hazards Models.
Plot or otherwise analyze the fitted model using the methods in the examples listed on this page under Topics, or using Cox Proportional Hazards Models functions.

The fitcox function provides an object-oriented way to fit a Cox proportional hazards model. The resulting CoxModel object contains many statistics and methods for analysis. coxphfit is an older function for fitting Cox models that also enables code generation.

Functions

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Lifetime Data Analysis

`ksdensity`	Kernel smoothing function estimate for univariate and bivariate data
`mle`	Maximum likelihood estimates
`mlecov`	Asymptotic covariance of maximum likelihood estimators
`evfit`	Extreme value parameter estimates
`expfit`	Exponential parameter estimates
`gamfit`	Gamma parameter estimates
`lognfit`	Lognormal parameter estimates
`normfit`	Normal parameter estimates
`wblfit`	Weibull parameter estimates
`fitdist`	Fit probability distribution object to data
`dfittool`	Open Distribution Fitter app

Visualize Lifetime Data

`ecdf`	Empirical cumulative distribution function
`ecdfhist`	Histogram based on empirical cumulative distribution function
`plotSurvival`	Plot survival function of Cox proportional hazards model
`probplot`	Probability plots
`wblplot`	Weibull probability plot

Cox Proportional Hazards Models

Fit Cox Proportional Hazards Model

coxphfit Cox proportional hazards regression

Fit `CoxModel` Object

fitcox Create Cox proportional hazards model

`CoxModel` Methods

`coefci`	Confidence interval for Cox proportional hazards model coefficients
`hazardratio`	Estimate Cox model hazard relative to baseline
`linhyptest`	Linear hypothesis tests on Cox model coefficients
`plotSurvival`	Plot survival function of Cox proportional hazards model
`survival`	Calculate survival of Cox proportional hazards model