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Growth Curve Models and Statistical Diagnostics by Jian-Xin Pan Paperback | Indigo Chapters

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Growth Curve Models and Statistical Diagnostics by Jian-Xin Pan Paperback | Indigo Chapters - nieuw boek

ISBN: 9781441928641

Growth-curve models are generalized multivariate analysis-of-variance models. The basic idea of the models is to use different polynomials to fit different treatment groups involved in th… Meer...

Growth-curve models are generalized multivariate analysis-of-variance models. The basic idea of the models is to use different polynomials to fit different treatment groups involved in the longitudinal study. It is not uncommon, however, to find outliers and influential observations in growth data that heavily affect statistical inference in growth curve models. This book provides a comprehensive introduction to the theory of growth curve models with an emphasis on statistical diagnostics. A variety of issues on model fittings and model diagnostics are addressed, and many criteria for outlier detection and influential observation identification are created within likelihood and Bayesian frameworks. This book is intended for postgraduates and statisticians whose research involves longitudinal study, multivariate analysis and statistical diagnostics, and also for scientists who analyze longitudinal data and repeated measures. The authors provide theoretical details on the model fittings and also emphasize the application of growth curve models to practical data analysis, which are reflected in the analysis of practical examples given in each chapter. The book assumes a basic knowledge of matrix algebra and linear regression. Jian-Xin Pan is a lecturer in Medical Statistics of Keele University in the U. K. He has published more than twenty papers on growth curve models, statistical diagnostics and linear/non-linear mixed models. He has a long-standing research interest in longitudinal data analysis and repeated measures in medicine and agriculture. Kai-Tai Fang is a chair professor in Statistics of Hong Kong Baptist University and a fellow of the Institute of Mathematical Statistics. He has published several books with Springer-Verlag, Chapman & Hall, and Science Press and is an author or co-author of over one hundred papers. His research interest includes generalized multivariate analysis, elliptically contoured distributions and uniform design. | Growth Curve Models and Statistical Diagnostics by Jian-Xin Pan Paperback | Indigo Chapters Books > Science & Nature > Math & Physics > Mathematics > Probability & Statistics P10117, Jian-Xin Pan<

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Growth Curve Models and Statistical Diagnostics (Springer Series in Statistics) - Pan, Jian-Xin

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2010, ISBN: 9781441928641

Mitwirkende: Fang, Kai-Tai, Springer New York, Taschenbuch, Auflage: Softcover reprint of the original 1st ed. 2002, 408 Seiten, Publiziert: 2010-10-20T00:00:01Z, Produktgruppe: Buch, 1.2… Meer...

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Growth Curve Models and Statistical Diagnostics (Springer Series in Statistics) - Pan, Jian-Xin

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Pan, Jian-Xin:
Growth Curve Models and Statistical Diagnostics (Springer Series in Statistics) - pocketboek

2010, ISBN: 9781441928641

Mitwirkende: Fang, Kai-Tai, Springer New York, Taschenbuch, Auflage: Softcover reprint of the original 1st ed. 2002, 408 Seiten, Publiziert: 2010-10-20T00:00:01Z, Produktgruppe: Buch, 1.2… Meer...

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Growth curve models and statistical diagnostics - Jian-Xin Pan

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Jian-Xin Pan:
Growth curve models and statistical diagnostics - nieuw boek

ISBN: 9781441928641

Médias > Livres > Mathématiques Springer series in statistics, [PU: Springer]

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Growth Curve Models and Statistical Diagnostics by Jian-Xin Pan Paperback | Indigo Chapters - nieuw boek

ISBN: 9781441928641

Growth-curve models are generalized multivariate analysis-of-variance models. The basic idea of the models is to use different polynomials to fit different treatment groups involved in th… Meer...

Growth-curve models are generalized multivariate analysis-of-variance models. The basic idea of the models is to use different polynomials to fit different treatment groups involved in the longitudinal study. It is not uncommon, however, to find outliers and influential observations in growth data that heavily affect statistical inference in growth curve models. This book provides a comprehensive introduction to the theory of growth curve models with an emphasis on statistical diagnostics. A variety of issues on model fittings and model diagnostics are addressed, and many criteria for outlier detection and influential observation identification are created within likelihood and Bayesian frameworks. This book is intended for postgraduates and statisticians whose research involves longitudinal study, multivariate analysis and statistical diagnostics, and also for scientists who analyze longitudinal data and repeated measures. The authors provide theoretical details on the model fittings and also emphasize the application of growth curve models to practical data analysis, which are reflected in the analysis of practical examples given in each chapter. The book assumes a basic knowledge of matrix algebra and linear regression. Jian-Xin Pan is a lecturer in Medical Statistics of Keele University in the U. K. He has published more than twenty papers on growth curve models, statistical diagnostics and linear/non-linear mixed models. He has a long-standing research interest in longitudinal data analysis and repeated measures in medicine and agriculture. Kai-Tai Fang is a chair professor in Statistics of Hong Kong Baptist University and a fellow of the Institute of Mathematical Statistics. He has published several books with Springer-Verlag, Chapman & Hall, and Science Press and is an author or co-author of over one hundred papers. His research interest includes generalized multivariate analysis, elliptically contoured distributions and uniform design. | Growth Curve Models and Statistical Diagnostics by Jian-Xin Pan Paperback | Indigo Chapters Books > Science & Nature > Math & Physics > Mathematics > Probability & Statistics P10117, Jian-Xin Pan<

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Growth Curve Models and Statistical Diagnostics (Springer Series in Statistics) - pocketboek

2010, ISBN: 9781441928641

Mitwirkende: Fang, Kai-Tai, Springer New York, Taschenbuch, Auflage: Softcover reprint of the original 1st ed. 2002, 408 Seiten, Publiziert: 2010-10-20T00:00:01Z, Produktgruppe: Buch, 1.2… Meer...

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Pan, Jian-Xin:
Growth Curve Models and Statistical Diagnostics (Springer Series in Statistics) - pocketboek

2010

ISBN: 9781441928641

Mitwirkende: Fang, Kai-Tai, Springer New York, Taschenbuch, Auflage: Softcover reprint of the original 1st ed. 2002, 408 Seiten, Publiziert: 2010-10-20T00:00:01Z, Produktgruppe: Buch, 1.2… Meer...

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Bibliografische gegevens van het best passende boek

Bijzonderheden over het boek

Growth Curve Models and Statistical Diagnostics (Springer Series in Statistics)

auteur:	Pan, Jian-Xin
Titel:	Growth Curve Models and Statistical Diagnostics (Springer Series in Statistics)
ISBN:	9781441928641

This book systematically introduces the theory of the GCM with particular emphasis on their multivariate statistical diagnostics, which are based mainly on recent developments made by the authors and their collaborators. Provided are complete proofs of theorems as well as practical data sets and MATLAB code.

Gedetalleerde informatie over het boek. - Growth Curve Models and Statistical Diagnostics (Springer Series in Statistics)

EAN (ISBN-13): 9781441928641
ISBN (ISBN-10): 1441928642
Gebonden uitgave
pocket book
Verschijningsjaar: 2011
Uitgever: Springer New York

Boek bevindt zich in het datenbestand sinds 2013-05-23T19:54:40+02:00 (Amsterdam)
Detailpagina laatst gewijzigd op 2024-02-27T09:38:18+01:00 (Amsterdam)
ISBN/EAN: 9781441928641

ISBN - alternatieve schrijfwijzen:
1-4419-2864-2, 978-1-4419-2864-1
alternatieve schrijfwijzen en verwante zoekwoorden:
Auteur van het boek: fang, tai, xin, jian, hall
Titel van het boek: curve, tai pan

Gegevens van de uitgever

Auteur: Jian-Xin Pan
Titel: Springer Series in Statistics; Growth Curve Models and Statistical Diagnostics
Uitgeverij: Springer; Springer US
388 Bladzijden
Verschijningsjaar: 2011-10-09
New York; NY; US
Gedrukt / Gemaakt in
Taal: Engels
109,99 € (DE)

BC; Hardcover, Softcover / Mathematik/Wahrscheinlichkeitstheorie, Stochastik, Mathematische Statistik; Wahrscheinlichkeitsrechnung und Statistik; Verstehen; Fitting; Growth Curve Models; Likelihood; MATLAB; Multivariate Analysis; Statistical Diagnostics; Variance; calculus; data analysis; linear regression; mathematical statistics; sets; statistics; Probability Theory; Statistical Theory and Methods; Biostatistics; Stochastik; BB; EA

1 Introduction.- 1.1 General Remarks.- 1.2 Statistical Diagnostics in Multivariate Analysis.- 1.3 Growth Curve Model (GCM).- 1.4 Summary.- 1.5 Preliminary Results.- 1.6 Further Readings.- 2 Generalized Least Square Estimation.- 2.1 General Remarks.- 2.2 Generalized Least Square Estimation.- 2.3 Admissible Estimate of Regression Coefficient.- 2.4 Bibliographical Notes.- 3 Maximum Likelihood Estimation.- 3.1 Maximum Likelihood Estimation.- 3.2 Rao’s Simple Covariance Structure (SCS).- 3.3 Restricted Maximum Likelihood Estimation.- 3.4 Bibliographical Notes.- 4 Discordant Outlier and Influential Observation.- 4.1 General Remarks.- 4.2 Discordant Outlier Detection in the GCM with SCS.- 4.3 Influential Observation in the GCM with SCS.- 4.4 Discordant Outlier Detection in the GCM with UC.- 4.5 Influential Observation in the GCM with UC.- 4.6 Bibliographical Notes.- 5 Likelihood-Based Local Influence.- 5.1 General Remarks.- 5.2 Local Influence Assessment in the GCM with SCS.- 5.3 Local Influence Assessment in the GCM with UC.- 5.4 Bibliographical Notes.- 6 Bayesian Influence Assessment.- 6.1 General Remarks.- 6.2 Bayesian Influence Analysis in the GCM with SCS.- 6.3 Bayesian Influence Analysis in the GCM with UC.- 6.4 Bibliographical Notes.- 7 Bayesian Local Influence.- 7.1 General Remarks.- 7.2 Bayesian Local Influence in the GCM with SCS.- 7.3 Bayesian Local Influence in the GCM with UC.- 7.4 Bibliographical Notes.- Appendix Data sets used in this book.- References.- Author Index.

Andere boeken die eventueel grote overeenkomsten met dit boek kunnen hebben:

Laatste soortgelijke boek:
9780387218120 Growth Curve Models and Statistical Diagnostics (Jian-Xin Pan/ Kai-Tai Fang)

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