ABSTRACT
The broad and long-term objective of our research inquiry is to develop receiver operating characteristic (ROC)
analysis towards a broadly applicable, practical, accurate, precise, efficient, and user-friendly method for
evaluation of diagnostic performance in medical imaging and beyond. The objective of this project is to
develop an innovative weighted ROC (WROC) analysis. The central hypothesis is that, by introducing a case
weighting factor, WROC analysis can mitigate and eliminate bias in ROC analysis from non-random case
samples and infer clinical performance without bias. Specific Aims are: (1) develop WROC algorithms and
share analysis software with the research community; (2) develop and validate three WROC analysis
applications; and (3) investigate with WROC analysis pivotal ROC study inference bias from non-random case
samples. Research design, based on contemporary ROC methodologies and preliminary studies, will be to
expand the basic ROC theory by introducing a weight factor to every case, and to develop WROC estimation
algorithms for common ROC models including the non-parametric, conventional binormal, and proper
binormal models, to develop new WROC software, which will supersede existing ROC software, and to make
the new software available to the research community by developing an open, easy-to-use, feature-rich, and
publication-friendly online calculator. New WROC algorithms will be used to develop three new applications:
to compare meaningfully ROC studies of non-random and non-identical case samples, to design ROC studies
with stratified case samples and then apply WROC analysis to model case sample distributions to match
random sampling and infer random-sample ROC performance without bias, and to estimate aggregate ROC
performance of multiple readers by averaging individual-reader ROC curves weighted by clinical case volume.
Finally, WROC analysis will be used to investigate bias in the inference to clinical performance from multi-
reader multi-case (MRMC) studies of non-random case samples and WROC analysis as a means to overcome
this bias. Methods to be used include mathematical derivation of maximum-likelihood estimations, software
development, and validation with Monte Calo simulations. The proposed WROC analysis is premised on
weighing cases unequally. This simple addition of a case weight will add a new dimension to ROC analysis.
Practical benefits include added analysis flexibility, improved clinical performance inference from laboratory
studies, and new ways to design better reader studies. The importance and health relatedness of this research
is that once developed, validated, and made available to and used by the research community, the new
development will be one step that advances ROC analysis towards a broadly applicable, practical, accurate,
precise, efficient, and user-friendly method for diagnostic performance evaluation.