Office of Academic Resources
Chulalongkorn University
Chulalongkorn University

Home / Help

AuthorPan, Jian-Xin. author
TitleGrowth Curve Models and Statistical Diagnostics [electronic resource] / by Jian-Xin Pan, Kai-Tai Fang
ImprintNew York, NY : Springer New York : Imprint: Springer, 2002
Connect tohttp://dx.doi.org/10.1007/978-0-387-21812-0
Descript XVII, 388 p. online resource

SUMMARY

Growth-curve models are generalized multivariate analysis-of-variance models. These models are especially useful for investigating growth problems on short times in economics, biology, medical research, and epidemiology. 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. The authors provide complete proofs of theorems as well as practical data sets and MATLAB code


CONTENT

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 Raoโ{128}{153}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


Mathematics Probabilities Statistics Mathematics Probability Theory and Stochastic Processes Statistical Theory and Methods Statistics for Life Sciences Medicine Health Sciences



Location



Office of Academic Resources, Chulalongkorn University, Phayathai Rd. Pathumwan Bangkok 10330 Thailand

Contact Us

Tel. 0-2218-2929,
0-2218-2927 (Library Service)
0-2218-2903 (Administrative Division)
Fax. 0-2215-3617, 0-2218-2907

Social Network

  line

facebook   instragram