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Journal ArticleDOI

The area above the ordinal dominance graph and the area below the receiver operating characteristic graph

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TLDR
In this article, receiver operating characteristic graphs are shown to be a variant form of ordinal dominance graphs, and several different methods of constructing confidence intervals for the area measure are presented and the strengths and weaknesses of each of these methods are discussed.
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This article is published in Journal of Mathematical Psychology.The article was published on 1975-11-01. It has received 1409 citations till now. The article focuses on the topics: Estimator & U-statistic.

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Citations
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Journal ArticleDOI

Nonparametric sequential evaluation of diagnostic biomarkers.

TL;DR: Nonparametric group sequential testing procedures to evaluate and compare the area of biomarkers under their receiver operating characteristic curves, with either independent or paired test outcomes, are developed.
Journal Article

Application of logistic regression in combination with multiple diagnostic tests for auxiliary diagnosis of nasopharyngeal carcinoma.

TL;DR: Adopting the logistic regression in combination with multiple diagnostic tests and using the probability prediction to decide the cut-off value may help increase the diagnostic sensitivity and specificity for NPC.
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Biostatistical methods for the validation of alternative methods for in vitro toxicity testing.

TL;DR: Biostatistical methods are presented which are of potential use and benefit for the validation of alternative methods for the risk assessment of chemicals, providing at least an equivalent level of protection through in vitro toxicity testing to that obtained through the use of current in vivo methods.
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Tournament leave-pair-out cross-validation for receiver operating characteristic analysis.

TL;DR: It is shown using both synthetic and real-world data that tournament leave- Pair-out is as reliable as leave-pair-out for area under receiver operating characteristic curve estimation and the bias in leave-one-out cross-validation on low-dimensional data is confirmed.
References
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Book

Signal detection theory and psychophysics

TL;DR: This book discusses statistical decision theory and sensory processes in signal detection theory and psychophysics and describes how these processes affect decision-making.
Journal ArticleDOI

On a Test of Whether one of Two Random Variables is Stochastically Larger than the Other

TL;DR: In this paper, the authors show that the limit distribution is normal if n, n$ go to infinity in any arbitrary manner, where n = m = 8 and n = n = 8.
Journal ArticleDOI

Consistency and Unbiasedness of Certain Nonparametric Tests

TL;DR: In this paper, it was shown that there exist strictly unbiased and consistent tests for the univariate and multivariate two-and fc-sample problem, for the hypothesis of independence, and for the hypotheses of symmetry with respect to a given point.

On a Use of the Mann-Whitney Statistic

TL;DR: In this paper, the authors present a survey of the known properties of the U statistic which are of importance for its use in testing hypotheses and discuss another use of this statistic which has attracted less attention.