Cox proportional hazards
- Exponential
- Weibull
- Gompertz
- Lognormal
- Log-logistic
- Generalized log-gamma
- Martingale-like, score, Cox–Snell, Schoenfeld, and deviance residuals
- Plots of predicted survival, hazard, and cumulative hazard functions
- Individual-level frailty
- Group-level or shared frailty
- Stratified models
- Linear constraints
Parametric survival models
- exponential
- Weibull
- Gompertz
- lognormal
- log-logistic
- generalized log-gamma
- martingale-like, score, Cox–Snell, Schoenfeld, and deviance residuals
- plots of predicted survival, hazard, and cumulative hazard functions
- individual-level frailty
- group-level or shared frailty
- stratified models
- linear constraints
Features of survival models
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- Single- or multiple-failure data
- Left truncation
- Right-censoring
- Time-varying regressors
- Gaps
- Recurring events
- Start–stop format
- Different types of failure events
- Multiple time scales allowed
- Conventional or robust estimates of variance
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Kaplan–Meier and Nelson–Aalen
- Graph estimates and confidence intervals
- List estimates and confidence intervals
- Test (log-rank, Mantel–Haenszel, Wilcoxon–Breslow, Tarone–Ware, Fleming–Harrington, Peto–Peto–Prentice)
- Test for trend
- Calculate level and confidence interval of survivor function
- Report mean survival time and confidence interval
- Cox regression-adjusted estimates
Summary tables
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- Time at risk, incidence rate, number of subjects, 25th, 50th, and 75th percentiles of survival time
- Incidence rate ratio and difference
- Life tables
- Rates and SMRs by one or more categorical variables
- Stratified rate ratios
Utilities
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- Create nested case–control datasets
- Split and join time records
- Convert snapshot data into time-span data
- Calculate person-time (person-years), incidence rates, and standardized mortality/morbidity ratios (SMR)
Predictions
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- Mean or median time to failure
- Mean or median log time
- Hazard
- Hazard ratios
- Survival probabilities
Marginal effects
- Marginal effects and elasticities
- Standard errors and confidence intervals
- At means or specified covariate values
- For any predicted statistic
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