title: Jackknife empirical likelihood confidence regions for the evaluation of continuous-scale diagnostic tests with verification bias.
abstract: Recently, Wang and Qin proposed various bias-corrected empirical likelihood confidence regions for any two of the three parameters, sensitivity, specificity, and cut-off value, with the remaining parameter fixed at a given value in the evaluation of a continuous-scale diagnostic test with verification bias. In order to apply those methods, quantiles of the limiting weighted chi-squared distributions of the empirical log-likelihood ratio statistics should be estimated. In order to facilitate application and reduce computation burden, in this paper, jackknife empirical likelihood-based methods are proposed for any pairs of sensitivity, specificity and cut-off value, and asymptotic results can be derived accordingly. The proposed methods can be easily implemented to construct confidence regions for the evaluation of continuous-scale diagnostic tests with verification bias. Simulation studies are conducted to evaluate the finite sample performance and robustness of the proposed jackknife empirical likelihood-based confidence regions in terms of coverage probabilities. Finally, a real case analysis is provided to illustrate the application of new methods.
authors.affiliation: Division of Biostatistics School of Medicine, New York University, New York, USA.
authors.forename: Binhuan
authors.initials: B
authors.lastname: Wang
authors.affiliation: Department of Mathematics and Statistics, Georgia State University, Atlanta, USA gqin@gsu.edu.
authors.forename: Gengsheng
authors.initials: G
authors.lastname: Qin
mesh_terms: D015982:Bias; D016009:Chi-Square Distribution; D003955:Diagnostic Tests, Routine / Q000379:methods* / Q000592:standards; D042241:Early Diagnosis; D034381:Hearing Loss / Q000175:diagnosis; D006801:Humans; D007223:Infant; D016013:Likelihood Functions; D012372:ROC Curve; D015203:Reproducibility of Results; D012680:Sensitivity and Specificity
keywords: empirical likelihood; estimating equations; jackknife; receiver operating characteristic; verification bias