Stratification of the severity of critically ill patients with classification trees

Javier Trujillano,Jaume March,Mariona Badia,Luis Serviá,Angel Rodriguez-Pozo

doi:10.1186/1471-2288-9-83

Abstract

BackgroundDevelopment of three classification trees (CT) based on the CART (Classification and Regression Trees), CHAID (Chi-Square Automatic Interaction Detection) and C4.5 methodologies for the calculation of probability of hospital mortality; the comparison of the results with the APACHE II, SAPS II and MPM II-24 scores, and with a model based on multiple logistic regression (LR).MethodsRetrospective study of 2864 patients. Random partition (70:30) into a Development Set (DS) n = 1808 and Validation Set (VS) n = 808. Their properties of discrimination are compared with the ROC curve (AUC CI 95%), Percent of correct classification (PCC CI 95%); and the calibration with the Calibration Curve and the Standardized Mortality Ratio (SMR CI 95%).ResultsCTs are produced with a different selection of variables and decision rules: CART (5 variables and 8 decision rules), CHAID (7 variables and 15 rules) and C4.5 (6 variables and 10 rules). The common variables were: inotropic therapy, Glasgow, age, (A-a)O2 gradient and antecedent of chronic illness. In VS: all the models achieved acceptable discrimination with AUC above 0.7. CT: CART (0.75(0.71-0.81)), CHAID (0.76(0.72-0.79)) and C4.5 (0.76(0.73-0.80)). PCC: CART (72(69-75)), CHAID (72(69-75)) and C4.5 (76(73-79)). Calibration (SMR) better in the CT: CART (1.04(0.95-1.31)), CHAID (1.06(0.97-1.15) and C4.5 (1.08(0.98-1.16)).ConclusionWith different methodologies of CTs, trees are generated with different selection of variables and decision rules. The CTs are easy to interpret, and they stratify the risk of hospital mortality. The CTs should be taken into account for the classification of the prognosis of critically ill patients.

Highlights

Development of three classification trees (CT) based on the CART (Classification and Regression Trees), CHAID (Chi-Square Automatic Interaction Detection) and C4.5 methodologies for the calculation of probability of hospital mortality; the comparison of the results with the APACHE II, SAPS II and MPM II-24 scores, and with a model based on multiple logistic regression (LR)
The common variables selected by the three CT types were: the necessity of inotropic therapy, the point value on the Glasgow coma scale, the alveolar-arterial gradient in oxygen, age and the presence of antecedents of important chronic diseases
As exposed by one of the reviewers, we found a great difference between the observed and expected mortality in the validation group in the LR model

Summary

Introduction

Development of three classification trees (CT) based on the CART (Classification and Regression Trees), CHAID (Chi-Square Automatic Interaction Detection) and C4.5 methodologies for the calculation of probability of hospital mortality; the comparison of the results with the APACHE II, SAPS II and MPM II-24 scores, and with a model based on multiple logistic regression (LR). Stratifying the patients into risk groups, according to their severity, is essential for the comparison of treatments and the establishment of differences between different units or hospital centres. The most commonly used scores are the APACHE II (Acute Physiology and Chronic Health Evaluation II), the SAPS II (Simplified Acute Physiology Score II) and the MPM II-24 (Mortality Probability Models II-24) scores [2,3,4].

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