Author | Christensen, Ronald. author |
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Title | Plane Answers to Complex Questions [electronic resource] : The Theory of Linear Models / by Ronald Christensen |
Imprint | New York, NY : Springer New York : Imprint: Springer, 1996 |
Edition | Second Edition |
Connect to | http://dx.doi.org/10.1007/978-1-4757-2477-6 |
Descript | XVII, 453 p. online resource |
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 GaussโMarkov 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