Van Houwelingen's Beta Survival Measure

This calibration method fits the predicted linear predictor from a Cox PH model as the only predictor in a new Cox PH model with the test data as the response. $$h(t|x) = h_0(t)exp(l\beta)$$ where \(l\) is the predicted linear predictor.

The model is well calibrated if the estimated \(\beta\) coefficient is equal to 1.

Assumes fitted model is Cox PH.

Dictionary

This Measure can be instantiated via the dictionary mlr_measures or with the associated sugar function msr():

MeasureSurvCalibrationBeta$new()
mlr_measures$get("surv.calib_beta")
msr("surv.calib_beta")

Meta Information

• Type: "surv"

• Range: \((-\infty, \infty)\)

• Minimize: FALSE

• Required prediction: lp

References

Van Houwelingen, C. H (2000). “Validation, calibration, revision and combination of prognostic survival models.” Statistics in Medicine, 19(24), 3401--3415. doi:10.1002/1097-0258(20001230)19:24<3401::AID-SIM554>3.0.CO;2-2 .

See also

Other survival measures: mlr_measures_surv.calib_alpha, mlr_measures_surv.chambless_auc, mlr_measures_surv.cindex, mlr_measures_surv.dcalib, mlr_measures_surv.graf, mlr_measures_surv.hung_auc, mlr_measures_surv.intlogloss, mlr_measures_surv.logloss, mlr_measures_surv.mae, mlr_measures_surv.mse, mlr_measures_surv.nagelk_r2, mlr_measures_surv.oquigley_r2, mlr_measures_surv.rcll, mlr_measures_surv.rmse, mlr_measures_surv.schmid, mlr_measures_surv.song_auc, mlr_measures_surv.song_tnr, mlr_measures_surv.song_tpr, mlr_measures_surv.uno_auc, mlr_measures_surv.uno_tnr, mlr_measures_surv.uno_tpr, mlr_measures_surv.xu_r2

Other calibration survival measures: mlr_measures_surv.calib_alpha, mlr_measures_surv.dcalib

Other lp survival measures: mlr_measures_surv.chambless_auc, mlr_measures_surv.hung_auc, mlr_measures_surv.nagelk_r2, mlr_measures_surv.oquigley_r2, mlr_measures_surv.song_auc, mlr_measures_surv.song_tnr, mlr_measures_surv.song_tpr, mlr_measures_surv.uno_auc, mlr_measures_surv.uno_tnr, mlr_measures_surv.uno_tpr, mlr_measures_surv.xu_r2

Super classes

mlr3::Measure -> mlr3proba::MeasureSurv -> MeasureSurvCalibrationBeta

Methods

Public methods

• MeasureSurvCalibrationBeta$new()

• MeasureSurvCalibrationBeta$clone()

Inherited methods

• mlr3::Measure$aggregate()
• mlr3::Measure$format()
• mlr3::Measure$help()
• mlr3::Measure$score()
• mlr3proba::MeasureSurv$print()

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Method new()

Creates a new instance of this R6 class.

Usage

MeasureSurvCalibrationBeta$new()

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Method clone()

The objects of this class are cloneable with this method.

Usage

MeasureSurvCalibrationBeta$clone(deep = FALSE)

Arguments

deep

Whether to make a deep clone.