01-12-2003 | Original
Using hierarchical modeling to measure ICU quality
Published in: Intensive Care Medicine | Issue 12/2003
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Objective
To determine whether hierarchical modeling agrees with conventional logistic regression modeling on the identity of ICU quality outliers within a large multi-institutional database.
Design
Retrospective database analysis.
Setting and patients
Subset of the Project IMPACT database consisting of 40,435 adult patients admitted to surgical, medical, and mixed surgical-medical ICUs (n =55) between 1997 and 1999 who met inclusion criteria for SAPS II.
Measurements and results
The SAPS II score was customized to this database using conventional logistic regression and using a hierarchical (random coefficients) model. Both models exhibited excellent discrimination (C statistic) and calibration (Hosmer-Lemeshow statistic). The hierarchical and nonhierarchical models hadC statistics of .870 and .865, and HL statistics of 3.71 (p>.88, df=8) and 8.94 (p>.35, df=8), respectively. Since the random effects component of the hierarchical model accounts for between-hospital variability, only the fixed-effects coefficients were used to calculate the expected mortality rate based on the hierarchical model. The ratio and 95% confidence intervals of the observed to expected mortality rate were calculated using both models for each ICU. ICUs whose observed/expected ratio was either less than 1 or greater than 1, and whose 95% confidence interval did not include 1 were labeled as either high-performance or low-performance outliers, respectively. Analysis using κ statistic revealed almost perfect agreement between the two models (nonhierarchical vs. hierarchical) on the identity of ICU quality outliers.
Conclusions
Models obtained by customizing SAPS II using a nonhierarchical and a hierarchical approach exhibit excellent agreement on the identity of ICU quality outliers.