Applied multivariate analysis /
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| Author / Creator: | Timm, Neil H. |
|---|---|
| Imprint: | New York : Springer, c2002. |
| Description: | xxiv, 693 p. : ill. ; 25 cm. |
| Language: | English |
| Series: | Springer texts in statistics |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/4721400 |
Table of Contents:
- 1. Introduction
- 2. Vectors and Matrices
- 2.1. Introduction
- 2.2. Vectors, Vector Spaces, and Vector Subspaces
- 2.3. Bases, Vector Norms, and the Algebra of Vector Spaces
- 2.4. Basic Matrix Operations
- 2.5. Rank, Inverse, and Determinant
- 2.6. Systems of Equations, Transformations, and Quadratic Forms
- 2.7. Limits and Asymptotics
- 3. Multivariate Distributions and the Linear Model
- 3.1. Introduction
- 3.2. Random Vectors and Matrices
- 3.3. The Multivariate Normal (MVN) Distribution
- 3.4. The Chi-Square and Wishart Distributions
- 3.5. Other Multivariate Distributions
- 3.6. The General Linear Model
- 3.7. Evaluating Normality
- 3.8. Tests of Covariance Matrices
- 3.9. Tests of Location
- 3.10. Univariate Profile Analysis
- 3.11. Power Calculations
- 4. Multivariate Regression Models
- 4.1. Introduction
- 4.2. Multivariate Regression
- 4.3. Multivariate Regression Example
- 4.4. One-Way MANOVA and MANCOVA
- 4.5. One-Way MANOVA/MANCOVA Examples
- 4.6. MANOVA/MANCOVA with Unequal [Sigma][subscript i] or Nonnormal Data
- 4.7. One-Way MANOVA with Unequal [Sigma][subscript i] Example
- 4.8. Two-Way MANOVA/MANCOVA
- 4.9. Two-Way MANOVA/MANCOVA Example
- 4.10. Nonorthogonal Two-Way MANOVA Designs
- 4.11. Unbalance, Nonorthogonal Designs Example
- 4.12. Higher Ordered Fixed Effect, Nested and Other Designs
- 4.13. Complex Design Examples
- 4.14. Repeated Measurement Designs
- 4.15. Repeated Measurements and Extended Linear Hypotheses Example
- 4.16. Robustness and Power Analysis for MR Models
- 4.17. Power Calculations - Power.sas
- 4.18. Testing for Mean Differences with Unequal Covariance Matrices
- 5. Seemingly Unrelated Regression Models
- 5.1. Introduction
- 5.2. The SUR Model
- 5.3. Seeming Unrelated Regression Example
- 5.4. The CGMANOVA Model
- 5.5. CGMANOVA Example
- 5.6. The GMANOVA Model
- 5.7. GMANOVA Example
- 5.8. Tests of Nonadditivity
- 5.9. Testing for Nonadditivity Example
- 5.10. Lack of Fit Test
- 5.11. Sum of Profile Designs
- 5.12. The Multivariate SUR (MSUR) Model
- 5.13. Sum of Profile Example
- 5.14. Testing Model Specification in SUR Models
- 5.15. Miscellanea
- 6. Multivariate Random and Mixed Models
- 6.1. Introduction
- 6.2. Random Coefficient Regression Models
- 6.3. Univariate General Linear Mixed Models
- 6.4. Mixed Model Examples
- 6.5. Mixed Multivariate Models
- 6.6. Balanced Mixed Multivariate Models Examples
- 6.7. Double Multivariate Model (DMM)
- 6.8. Double Multivariate Model Examples
- 6.9. Multivariate Hierarchical Linear Models
- 6.10. Tests of Means with Unequal Covariance Matrices
- 7. Discriminant and Classification Analysis
- 7.1. Introduction
- 7.2. Two Group Discrimination and Classification
- 7.3. Two Group Discriminant Analysis Example
- 7.4. Multiple Group Discrimination and Classification
- 7.5. Multiple Group Discriminant Analysis Example
- 8. Principal Component, Canonical Correlation, and Exploratory Factor Analysis
- 8.1. Introduction
- 8.2. Principal Component Analysis
- 8.3. Principal Component Analysis Examples
- 8.4. Statistical Tests in Principal Component Analysis
- 8.5. Regression on Principal Components
- 8.6. Multivariate Regression on Principal Components Example
- 8.7. Canonical Correlation Analysis
- 8.8. Canonical Correlation Analysis Examples
- 8.9. Exploratory Factor Analysis
- 8.10. Exploratory Factor Analysis Examples
- 9. Cluster Analysis and Multidimensional Scaling
- 9.1. Introduction
- 9.2. Proximity Measures
- 9.3. Cluster Analysis
- 9.4. Cluster Analysis Examples
- 9.5. Multidimensional Scaling
- 9.6. Multidimensional Scaling Examples
- 10. Structural Equation Models
- 10.1. Introduction
- 10.2. Path Diagrams, Basic Notation, and the General Approach
- 10.3. Confirmatory Factor Analysis
- 10.4. Confirmatory Factor Analysis Examples
- 10.5. Path Analysis
- 10.6. Path Analysis Examples
- 10.7. Structural Equations with Manifest and Latent Variables
- 10.8. Structural Equations with Manifest and Latent Variables Example
- 10.9. Longitudinal Analysis with Latent Variables
- 10.10. Exogeniety in Structural Equation Models.
