Handbook of Statistics 1: Analysis of Variance

Paruchuri R. Krishnaiah0444853359, 9780444853356

Hardbound. This first volume in the series is devoted to the area of analysis of variance (ANOVA), which was developed by R.A. Fischer and others, and has emerged as a very important branch of statistics. The most useful techniques in univariate and multivariate ANOVA are covered in this volume. The chapters are written by prominent workers in the field for persons who are not specialists on the topic. The volume is of value to the whole statistics community, as well as to scientists in other disciplines who are interested in statistical methodology. The volume is dedicated to the memory of the late Henry Scheffé.

---

Table of contents :
Preface……Page 1
Contributors……Page 3
1. Estimation of Variance Components……Page 4
2. Multivariate Analysis of Variance of Repeated Measurements……Page 44
3. Growth Curve Analysis……Page 91
4. Bayesian Inference in MANOVA……Page 118
5. Graphical Methods for Internal Comparisons in ANOVA and MANOVA……Page 134
6. Monotonicity and Unbiasedness Properties of ANOVA and MANOVA Tests……Page 179
7. Robustness of ANOVA and MANOVA Test Procedures……Page 198
8. Analysis of Variance and Problems under Time Series Models……Page 236
9. Tests of Univariate and Multivariate Normality……Page 277
10. Transformations to Normality……Page 319
11. ANOVA and MANOVA: Models for Categorical Data……Page 340
12. Inference and the Structural Model for ANOVA and MANOVA……Page 385
13. Inference Based on Conditionally Specified ANOVA Models Incorporating Preliminary Testing……Page 403
14. Quadratic Forms in Normal Variables……Page 438
PART 1: GENERALIZED INVERSE OF MATRICES……Page 465
PART 2: STATISTICAL ANALYSIS OF A LINEAR MODEL……Page 483
16. Likelihood Ratio Tests for Mean Vectors and Covariance Matrices……Page 507
17. Assessing Dimensionality in Multivariate Regression……Page 565
18. Parameter Estimation in Nonlinear Regression Models……Page 586
19. Early History of Multiple Comparison Tests……Page 609
20. Representations of Simultaneous Pairwise Comparisons……Page 615
21. Simultaneous Test Procedures for Mean Vectors and Covariance Matrices……Page 622
22. Nonparametric Simultaneous Inference for some MANOVA Models……Page 663
23. Comparison of Some Computer Programs for Univariate and Multivariate Analysis of Variance……Page 693
24. Computations of Some Multivariate Distributions……Page 735
25. Inference on the Structure of Interaction in Two-way Classification Model……Page 962
Subject Index……Page 984