Estimation of ROC curve with complex survey data.
The receiver operating characteristic (ROC) curve can be utilized to evaluate the performance of diagnostic tests. The area under the ROC curve (AUC) is a widely used summary index for comparing multiple ROC curves. Both parametric and nonparametric methods have been developed to estimate and compare the AUCs. However, these methods are usually only applicable to data collected from simple random samples and not surveys and epidemiologic studies that use complex sample designs such as stratified and/or multistage cluster sampling with sample weighting. Such complex samples can inflate variances from intra-cluster correlation and alter the expectations of test statistics because of the use of sample weights that account for differential sampling rates. In this paper, we modify the nonparametric method to incorporate sampling weights to estimate the AUC and employ leaving-one-out jackknife methods along with the balanced repeated replication method to account for the effects of the complex sampling in the variance estimation of our proposed estimators of the AUC. The finite sample properties of our methods are evaluated using simulations, and our methods are illustrated by comparing the estimated AUC for predicting overweight/obesity using different measures of body weight and adiposity among sampled children and adults in the US Hispanic Health and Nutrition Examination Survey.
['Yao|Wenliang|W|', 'Li|Zhaohai|Z|', 'Graubard|Barry I|BI|']
D050154:Adiposity D000293:Adolescent D000328:Adult D000368:Aged D000704:Analysis of Variance D019540:Area Under Curve D015982:Bias D015992:Body Mass Index D002648:Child D002675:Child, Preschool D003198:Computer Simulation D005260:Female D006630:Hispanic or Latino D006801:Humans D008297:Male D008875:Middle Aged D015233:Models, Statistical D009010:Monte Carlo Method D009749:Nutrition Surveys D009765:Obesity D011237:Predictive Value of Tests D012372:ROC Curve D012494:Sampling Studies D018709:Statistics, Nonparametric D055815:Young Adult
receiver operating characteristic (ROC) curve area under the ROC curve (AUC) balanced repeated replication jackknife variance survey sampling