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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.
This book demonstrates that nonparametric statistics can be taught
from a parametric point of view. As a result, one can exploit
various parametric tools such as the use of the likelihood
function, penalized likelihood and score functions to not only
derive well-known tests but to also go beyond and make use of
Bayesian methods to analyze ranking data. The book bridges the gap
between parametric and nonparametric statistics and presents the
best practices of the former while enjoying the robustness
properties of the latter. This book can be used in a graduate
course in nonparametrics, with parts being accessible to senior
undergraduates. In addition, the book will be of wide interest to
statisticians and researchers in applied fields.
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.
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