An omnibus CUSUM chart for monitoring time to event data

Phinikettos, Ioannis

doi:10.1007/s10985-013-9281-5

Cited by 4 publications

(1 citation statement)

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“…Sun and Kalbfleisch (2013) propose a risk-adjusted Observed−Expected CUSUM chart with monitoring bands to simultaneously monitor for failure time outcomes that are worse or better than expected. Phinikettos and Gandy (2014) studied a nonparametric method for monitoring time-to-event data. Sun, Kalbfleisch and Schaubel (2014) developed a weighted cumulative sum to monitor medical outcomes with dependent censoring and Zhang et al (2016) investigate the effect of estimation error on the performance of risk-adjusted survival time CUSUM.…”

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confidence: 99%

Risk‐adjusted monitoring of time to event in the presence of long‐term survivors

et al. 2016

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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 São Paulo, Brazil.

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