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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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Selection vs. Averaging of Logistic Credit Risk Models

TL;DR: In this paper, the relative performance of logistic credit risk models that were selected by means of standard stepwise model selection methods and average" models obtained by Bayesian model averaging (BMA) was evaluated.
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Remarks on the monotonicity of default probabilities

TL;DR: It is proved that, in the closely related context of a continuous score function, monotonicity of the conditional default probabilities is equivalent to optimality of the corresponding decision rules in the test-theoretic sense.

Generalized and efficient outlier detection for spatial, temporal, and high-dimensional data mining

TL;DR: Knowledge Discovery in Databases (KDD) ist der Prozess, nicht-triviale Muster aus grosen Datenbanken zu extrahieren, with dem Ziel, dass diese bisher unbekannt, potentiell nutzlich, statistisch fundiert and verstandlich sind.
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Confidence intervals for the area under the receiver operating characteristic curve in the presence of ignorable missing data

TL;DR: In this article, the authors compare different methods of constructing Wald-type confidence interval in the presence of missing data where the missingness mechanism is ignorable and find that constructing confidence intervals using multiple imputation (MI) based on logistic regression (LR) gives the most robust coverage probability and the choice of CI method is less important.
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.