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Growth curve models and statistical diagnostics

Author: Jian-Xin Pan; Kaitai Fang
Publisher: New York : Springer : Science Press, [2002] ©2002
Series: Springer series in statistics.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
"This book provides a comprehensive introduction to the theory of growth curve models with an emphasis on statistical diagnostics. A variety of issues relating to model development, estimation, inference, and diagnostics is addressed, and criteria for detecting outliers and influential observations are developed within likelihood and Bayesian frameworks."
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Pan, Jian-Xin.
Growth curve models and statistical diagnostics
(DLC) 00041910
(OCoLC)44162563
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Jian-Xin Pan; Kaitai Fang
ISBN: 9780387218120 0387218122
OCLC Number: 883392219
Description: 1 online resource (xvii, 387 pages) : illustrations.
Contents: 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 Raos 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.
Series Title: Springer series in statistics.
Responsibility: Jian-Xin Pan, Kai-Tai Fang.
More information:

Abstract:

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  Read more...

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From the reviews:"The book is well written and contains a goodly number of real-data applications." ISI Short Book Reviews, Vol.23/1, April 2003"This book offers an extensive view of Growth Curve Read more...

 
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