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ISBN: 9780387966823

ID: 1ba60c073edf54f8cdaa5c7bce8f6a6b

The statistical analysis of discrete multivariate data has received a great deal of attention in the statistics literature over the past two decades. The develop ment ofappropriate models is the common theme of books such as Cox (1970), Haberman (1974, 1978, 1979), Bishop et al. (1975), Gokhale and Kullback (1978), Upton (1978), Fienberg (1980), Plackett (1981), Agresti (1984), Goodman (1984), and Freeman (1987). The objective of our book differs from those listed above. Rather than concentrating on model building, our intention is to describe and assess the goodness-of-fit statistics used in the model verification part of the inference process. Those books that emphasize model development tend to assume that the model can be tested with one of the traditional goodness-of-fit tests 2 2 (e.g., Pearson's X or the loglikelihood ratio G ) using a chi-squared critical value. However, it is well known that this can give a poor approximation in many circumstances. This book provides the reader with a unified analysis of the traditional goodness-of-fit tests, describing their behavior and relative merits as well as introducing some new test statistics. The power-divergence family of statistics (Cressie and Read, 1984) is used to link the traditional test statistics through a single real-valued parameter, and provides a way to consolidate and extend the current fragmented literature. As a by-product of our analysis, a new 2 2 statistic emerges "between" Pearson's X and the loglikelihood ratio G that has some valuable properties. Bücher / Naturwissenschaften, Medizin, Informatik & Technik / Mathematik / Sonstiges, [PU: Springer]

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1987, ISBN: 9780387966823

ID: 835187017

Hardback. New. The statistical analysis of discrete multivariate data has received a great deal of attention in the statistics literature over the past two decades. The develop- ment ofappropriate models is the common theme of books such as Cox (1970), Haberman (1974, 1978, 1979), Bishop et al. (1975), Gokhale and Kullback (1978), Upton (1978), Fienberg (1980), Plackett (1981), Agresti (1984), Goodman (1984), and Freeman (1987). The objective of our book differs from those listed above. Rather than concentrating on model building, our intention is to describe and assess the goodness-of-fit statistics used in the model verification part of the inference process. Those books that emphasize model development tend to assume that the model can be tested with one of the traditional goodness-of-fit tests 2 2 (e.g., Pearson's X or the loglikelihood ratio G ) using a chi-squared critical value. However, it is well known that this can give a poor approximation in many circumstances. This book provides the reader with a unified analysis of the traditional goodness-of-fit tests, describing their behavior and relative merits as well as introducing some new test statistics. The power-divergence family of statistics (Cressie and Read, 1984) is used to link the traditional test statistics through a single real-valued parameter, and provides a way to consolidate and extend the current fragmented literature. As a by-product of our analysis, a new 2 2 statistic emerges between Pearson's X and the loglikelihood ratio G that has some valuable properties.

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Goodness-of-Fit Statistics for Discrete Multivariate Data als Buch von Noel A. C. Cressie, Timothy R. C. Read

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ISBN: 9780387966823

ID: 711963892

Goodness-of-Fit Statistics for Discrete Multivariate Data:Springer Series in Statistics. 1988. Auflage Noel A. C. Cressie, Timothy R. C. Read Goodness-of-Fit Statistics for Discrete Multivariate Data:Springer Series in Statistics. 1988. Auflage Noel A. C. Cressie, Timothy R. C. Read Bücher > Wissenschaft > Mathematik, Springer

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ISBN: 9780387966823

ID: 9780387966823

Mathematics; Applications of Mathematics Chi-squared distribution, Estimator, Likelihood, Variance, best fit, information theory, multinomial distribution Books Book, Springer Science+Business Media

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ISBN: 9780387966823

ID: 9780387966823

Mathematics; Applications of Mathematics Chi-squared distribution, Estimator, Likelihood, Variance, best fit, information theory, multinomial distribution Books, Springer Nature

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** Details of the book - Goodness-of-Fit Statistics for Discrete Multivariate Data**

EAN (ISBN-13): 9780387966823

ISBN (ISBN-10): 038796682X

Hardcover

Publishing year: 1988

Publisher: Springer-Verlag GmbH

228 Pages

Weight: 0,502 kg

Language: eng/Englisch

Book in our database since 11.02.2007 12:11:53

Book found last time on 23.11.2017 07:49:34

ISBN/EAN: 038796682X

ISBN - alternate spelling:

0-387-96682-X, 978-0-387-96682-3

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