A coherent, unified set of statistical methods, based on ranks, for analyzing data resulting from various experimental designs. Uses MINITAB, a statistical computing system for the implementation of the methods. Assesses the statistical and stability properties of the methods through asymptotic efficiency and influence curves and tolerance values. Includes exercises and problems.

Statistical Inference Based on Ranks (Wiley Series in Probability and Statistics)

Science & Math

Hettmansperger, Thomas P.

Mathematics

wiley

Statistical Inference Based on Ranks

Krieger Pub. Co

Presenting an extensive set of tools and methods for data analysis, Robust Nonparametric Statistical Methods, Second Edition covers univariate tests and estimates with extensions to linear models, multivariate models, times series models, experimental designs, and mixed models. It follows the approach of the first edition by developing rank-based methods from the unifying theme of geometry. This edition, however, includes more models and methods and significantly extends the possible analyses based on ranks. New to the Second Edition <ul>
<li>A new section on rank procedures for nonlinear models</li> <li>A new chapter on models with dependent error structure, covering rank methods for mixed models, general estimating equations, and time series </li> <li>New material on the development of computationally efficient affine invariant/equivariant sign methods based on transform-retransform techniques in multivariate models</li> </ul> Taking a comprehensive, unified approach to statistical analysis, the book continues to describe one- and two-sample problems, the basic development of rank methods in the linear model, and fixed effects experimental designs. It also explores models with dependent error structure and multivariate models. The authors illustrate the implementation of the methods using many real-world examples and R. More information about the data sets and R packages can be found at www.crcpress.com

Robust Nonparametric Statistical Methods (Chapman & Hall/CRC Monographs on Statistics and Applied Probability)

McKean, Joseph W.

CRC-Press

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