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πŸ“

Statistical Methods for Ranking Data

✍ Scribed by Mayer Alvo, Philip L.H. Yu (auth.)


Publisher
Springer-Verlag New York
Year
2014
Tongue
English
Leaves
276
Series
Frontiers in Probability and the Statistical Sciences
Edition
1
Category
Library

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✦ Synopsis


This book introduces advanced undergraduate, graduate students and practitioners to statistical methods for ranking data. An important aspect of nonparametric statistics is oriented towards the use of ranking data. Rank correlation is defined through the notion of distance functions and the notion of compatibility is introduced to deal with incomplete data. Ranking data are also modeled using a variety of modern tools such as CART, MCMC, EM algorithm and factor analysis.

This book deals with statistical methods used for analyzing such data and provides a novel and unifying approach for hypotheses testing. The techniques described in the book are illustrated with examples and the statistical software is provided on the authors’ website.

✦ Table of Contents


Front Matter....Pages i-xi
Introduction....Pages 1-5
Exploratory Analysis of Ranking Data....Pages 7-21
Correlation Correlation Analysis of Paired Ranking Data....Pages 23-53
Testing for Randomness, Agreement, and Interaction....Pages 55-79
Block Designs....Pages 81-104
General Theory of Hypothesis Testing General theory of hypothesis testing ....Pages 105-125
Testing for Ordered Alternatives....Pages 127-147
Probability Models for Ranking Data....Pages 149-169
Probit Models for Ranking Data....Pages 171-198
Decision Tree Models for Ranking Data....Pages 199-222
Extension of Distance-Based Models for Ranking Data....Pages 223-238
Back Matter....Pages 239-273

✦ Subjects


Statistical Theory and Methods; Statistics, general; Statistics and Computing/Statistics Programs; Data Mining and Knowledge Discovery


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