Plane Answers to Complex Questions: The Theory of Linear Models

by Ronald Christensen

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 Vector Spaces.- Appendix 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 Some Univariate Distributions.- Appendix Multivariate Distributions.- Appendix Tests and Confidence Intervals.- E.1 Confidence Intervals.- E.2 Hypothesis Testing.- Appendix Equivalent Linear Models.- F.1 Constrained and Unconstrained Models.- F.2 Estimable and Nonestimable Constraints.- Appendix Randomization Theory Models.- G.1 Simple Random Sampling.- G.2 Completely Randomized Designs.- G.3 Randomized Complete Block Designs.- References.- Author Index.

472 pages, Paperback

Published January 8, 2013