Plane answers to complex questions [electronic resource] : the theory of linear models / Ronald Christensen.
This textbook provides a wide-ranging introduction to the use of linear models in analyzing data. The author's emphasis is on providing a unified treatment of the analysis of variance models and regression models by presenting a vector space and projections approach to the subject. Every chapte...
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Full Text (via Springer) |
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York :
Springer,
©1996.
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| Edition: | 2nd ed. |
| Series: | Springer texts in statistics.
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Table of Contents:
- 1 Introduction
- 2 Estimation
- 3 Testing Hypotheses
- 4 One-Way ANOVA
- 5 Multiple Comparison Techniques
- 6 Regression Analysis
- 7 Multifactor Analysis of Variance
- 8 Experimental Design Models
- 9 Analysis of Covariance
- 10 Estimation and Testing in General Gauss
- Markov Models
- 11 Split Plot Models
- 12 Mixed Models and Variance Components
- 13 Checking Assumptions, Residuals, and Influential Observations
- 14 Variable Selection and Collinearity
- Appendix A: Vector Spaces
- Appendix B: Matrix Results
- B.1 Basic Ideas
- B.2 Eigenvalues and Related Results
- B.3 Projections
- B.4 Miscellaneous Results
- B.5 Properties of Kronecker Products and Vec Operators
- B.6 Tensors
- Appendix C: Some Univariate Distributions
- Appendix D: Multivariate Distributions
- Appendix E: Tests and Confidence Intervals
- E.1 Confidence Intervals
- E.2 Hypothesis Testing
- Appendix F: Equivalent Linear Models
- F.1 Constrained and Unconstrained Models
- F.2 Estimable and Nonestimable Constraints
- Appendix G: Randomization Theory Models
- G.1 Simple Random Sampling
- G.2 Completely Randomized Designs
- G.3 Randomized Complete Block Designs
- References
- Author Index.