The impact of varying patient populations on the in-control performance of the risk-adjusted CUSUM chart
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Wenmeng Tian1, Hongyue Sun1, Xiang Zhang2
1Grado Department of Industrial and Systems Engineering, Virginia Tech, Blacksburg, VA 24061, USA.
Objective:
This research is designed to examine the impact of varying patient population distributions on the in-control performance of the risk-adjusted Bernoulli CUSUM chart.
Design:
The in-control performance of the chart is compared based on sampling the Parsonnet scores with replacement from five realistic subsets of a given distribution.
Settings:
Five patient mixes with different Parsonnet score distributions are created from a real patient population.
Main Outcome Measures:
The outcome measures for this research are the in-control average run lengths (ARLs) given varying patient populations.
Results:
Our simulation results show that the in-control ARLs of the risk-adjusted Bernoulli CUSUM chart with fixed control limits and a given risk-adjustment equation vary significantly for different patient population distributions, and the in-control ARLs decrease as the mean of the Parsonnet scores increases.
Conclusions:
The simulation results imply that the control limits should vary based on the particular patient population of interest in order to control the in-control performance of the risk-adjusted Bernoulli CUSUM method.
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