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A MEASURE OF ASSOCIATION FOR ASSESSING PREDICTION ACCURACY THAT IS A GENERALIZATION OF NON‐PARAMETRIC ROC AREA
Author(s) -
SMITH WARREN D.,
DUTTON ROBERT C.,
SMITH N. TY
Publication year - 1996
Publication title -
statistics in medicine
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.996
H-Index - 183
eISSN - 1097-0258
pISSN - 0277-6715
DOI - 10.1002/(sici)1097-0258(19960615)15:11<1199::aid-sim218>3.0.co;2-y
Subject(s) - polytomous rasch model , measure (data warehouse) , receiver operating characteristic , parametric statistics , generalization , statistics , nonparametric statistics , computer science , association (psychology) , mathematics , data mining , item response theory , psychometrics , psychology , mathematical analysis , psychotherapist
There is a need for a measure of prediction accuracy that generalizes non‐parametric receiver operating characteristic (ROC) area to polytomous ordinal patient state. We describe such a measure, prediction probability P K , derived from Kim's measure of association. We show that the value of P K equals the value of non‐parametric ROC area for dichotomous patient state and is a meaningful generalization of non‐parametric ROC area for polytomous state.

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