A new diagnostic accuracy measure and cut-point selection criterion.
Most diagnostic accuracy measures and criteria for selecting optimal cut-points are only applicable to diseases with binary or three stages. Currently, there exist two diagnostic measures for diseases with general k stages: the hypervolume under the manifold and the generalized Youden index. While hypervolume under the manifold cannot be used for cut-points selection, generalized Youden index is only defined upon correct classification rates. This paper proposes a new measure named maximum absolute determinant for diseases with k stages ([Formula: see text]). This comprehensive new measure utilizes all the available classification information and serves as a cut-points selection criterion as well. Both the geometric and probabilistic interpretations for the new measure are examined. Power and simulation studies are carried out to investigate its performance as a measure of diagnostic accuracy as well as cut-points selection criterion. A real data set from Alzheimer's Disease Neuroimaging Initiative is analyzed using the proposed maximum absolute determinant.
1 Department of Biostatistics, University at Buffalo, Buffalo, NY, USA.
Tuochuan
T
Dong
2 Department of Biostatistics and Bioinformatics, Roswell Park Cancer Institute, Buffalo, NY, USA.
Kristopher
K
Attwood
1 Department of Biostatistics, University at Buffalo, Buffalo, NY, USA.
Alan
A
Hutson
2 Department of Biostatistics and Bioinformatics, Roswell Park Cancer Institute, Buffalo, NY, USA.
Song
S
Liu
1 Department of Biostatistics, University at Buffalo, Buffalo, NY, USA.
Lili
L
Tian
D000544:Alzheimer Disease / Q000145:classification / Q000175:diagnosis / Q000523:psychology; D015415:Biomarkers / Q000378:metabolism; D056808:Biostatistics / Q000379:methods; D001921:Brain / Q000000981:diagnostic imaging; D003198:Computer Simulation; D003955:Diagnostic Tests, Routine / Q000706:statistics & numerical data*; D006801:Humans; D015233:Models, Statistical; D059906:Neuroimaging / Q000706:statistics & numerical data; D012372:ROC Curve
D015415:Biomarkers
Alzheimer’s Disease; Maximum absolute determinant; optimal cut-points; volume for the parallelotope