Risk-adjusted monitoring of time to event in the presence of long-term survivors
Autor: | Magaly Marçula, Pledson Guedes de Medeiros, Dione Maria Valença, Jocelânio W. Oliveira |
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Rok vydání: | 2016 |
Předmět: |
Statistics and Probability
Computer science Context (language use) CUSUM Regression analysis General Medicine Statistical process control 01 natural sciences 010104 statistics & probability 03 medical and health sciences 0302 clinical medicine Chart Covariate Statistics Econometrics Control chart 030212 general & internal medicine 0101 mathematics Statistics Probability and Uncertainty Shewhart individuals control chart |
Zdroj: | Biometrical Journal. 58:1485-1505 |
ISSN: | 0323-3847 |
Popis: | The use of control charts for monitoring schemes in medical context should consider adjustments to incorporate the specific risk for each individual. Some authors propose the use of a risk-adjusted survival time cumulative sum (RAST CUSUM) control chart to monitor a time-to-event outcome, possibly right censored, using conventional survival models, which do not contemplate the possibility of cure of a patient. We propose to extend this approach considering a risk-adjusted CUSUM chart, based on a cure rate model. We consider a regression model in which the covariates affect the cure fraction. The CUSUM scores are obtained for Weibull and log-logistic promotion time model to monitor a scale parameter for nonimmune individuals. A simulation study was conducted to evaluate and compare the performance of the proposed chart (RACUF CUSUM) with RAST CUSUM, based on optimal control limits and average run length in different situations. As a result, we note that the RAST CUSUM chart is inappropriate when applied to data with a cure rate, while the proposed RACUF CUSUM chart seems to have similar performance if applied to data without a cure rate. The proposed chart is illustrated with simulated data and with a real data set of patients with heart failure treated at the Heart Institute (InCor), at the University of Sao Paulo, Brazil. |
Databáze: | OpenAIRE |
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