Symmetry and integration methods for differential equations: S By George W. Bluman and Stephen C. Anco. Springer. (2003). 419 pages. $69.95

• Book ID: 104352761
• Publisher: Elsevier Science
• Year: 2004
• Tongue: English
• Weight: 238 KB
• Volume: 47
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/s0898-1221(04)90108-3

✦ Synopsis

BOOK REPORTS

13.4. Three-factor, nested-factorial model. 13.5. General analysis for balanced, mixed models. 13.5.1. Description of the model. 13.5.2. Parameter estimation. 13.5.3. Properties of the estimators and inferential results. 13.6. random model. 13.6.2. Randomized block design. 13.6.3. Mixed model for split-plot designs. 13.6.4. Repeated measures designs. 13.6.5. Longitudinal studies. 13.7. Alternative development of mixed models. 13.7.1. Gaybill mixed model. 13.7.2. Scheff~ mixed model. 13.7.3. Randomization theory. Exercises. 14. Mixed Models II: The AVE Method with Balanced Data. 14.1. Introduction. 14.2. Two-way cross-classification model. 14.3. two-fold nested model. 14.4. Three factor, nested-factorial model. 14.5. General description of the AVE table. 14.5.1. AVE table for factorial models. 14.5.2. AVE table for nested models. 14.5.3. AVE table for nested-factorial models. 14.5.4. AVE method for general mixed effects models. 14.6. Additional examples. 14.7. Computational procedure for the AVE method. 14.8. Properties of the AVE estimates. 14.8.1. Diagnostic analysis for the two-way classification model. 14.8.