Plane Answers to Complex Questions: The Theory of Linear Models

Plane Answers to Complex Questions: The Theory of Linear Models.
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Sign in. One approach is that of testing models; the other approach involves testing linear parametric functions. Add to Basket. Item Information Condition:. Merged citations. Linear models are models that are linear in their parameters.

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SearchWorks Catalog Stanford Libraries. Plane answers to complex questions : the theory of linear models.

Responsibility Ronald Christensen. Edition 2nd ed. Imprint New York : Springer, c Physical description xvii, p. Series Springer texts in statistics.

Plane Answers to Complex Questions: The Theory of Linear Models

Every chapter comes with numerous exercises and examples that make it ideal for a graduate-level course. All of the standard topics are covered in depth: ANOVA, estimation including Bayesian estimation, hypothesis testing, multiple comparisons, regression analysis, and experimental design models. In addition, the book covers topics that are not usually treated at this level, but which are important in their own right: balanced incomplete block designs, testing for lack of fit, testing for independence, models with singular covariance matrices, variance component estimation, best linear and best linear unbiased prediction, collinearity, and variable selection.

This textbook provides a wide-ranging introduction to the use and theory of linear models for analyzing data.

The author's emphasis is on providing a unified treatment of linear models, including analysis of variance models and regression models, based on projections, orthogonality, and other vector space ideas. Every chapter comes with numerous exercises and examples that make it ideal for a graduate-level course.

Plane Answers to Complex Questions

All of the standard topics are covered in depth: ANOVA, estimation including Bayesian estimation, hypothesis testing, multiple comparisons, regression analysis, and experimental design models. In addition, the book covers topics that are not usually treated at this level, but which are important in their own right: balanced incomplete block designs, testing for lack of fit, testing for independence, models with singular covariance matrices, variance component estimation, best linear and best linear unbiased prediction, collinearity, and variable selection.

This new edition includes a more extensive discussion of best prediction and associated ideas of R2, as well as new sections on inner products and perpendicular projections for more general spaces and Milliken and Graybill's generalization of Tukey's one degree of freedom for nonadditivity test.