Nonparametric estimation and hypothesis testing on the partial area under receiver operating characteristic curves

Aiyi Liu, Enrique F. Schisterman, W. U. Chengqing

Research output: Contribution to journalArticlepeer-review

Abstract

The area under a receiver operating characteristic curve is a useful index of the accuracy of a diagnostic test. When the diagnostic ability of a new biomarker is of interest only in a certain range of specificity, the partial area under the curve becomes desirable. In this article, we extend Bomber's (1975) results and show that the partial area under a receiver operating characteristic curve is the probability of a constrained stochastic ordering. We then construct a 'weighted' Mann-Whitney statistic as an estimator of the partial area and investigate its statistical properties. A testing procedure is also developed to compare partial area under two receiver operating characteristic curves. The methods are exemplified with data from biomarkers associated with coronary heart disease.

Original languageEnglish (US)
Pages (from-to)2077-2088
Number of pages12
JournalCommunications in Statistics - Theory and Methods
Volume34
Issue number9-10
DOIs
StatePublished - 2005
Externally publishedYes

Keywords

  • Accuracy of diagnostic tests
  • Biomarkers
  • Mann-Whitney statistics
  • Sensitivity
  • Specificity

ASJC Scopus subject areas

  • Statistics and Probability
  • Safety, Risk, Reliability and Quality

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