TY - BOOK ID - 8136685 TI - Plane Answers to Complex Questions : The Theory of Linear Models PY - 2011 SN - 1441998152 1441998160 PB - New York, NY : Springer New York : Imprint: Springer, DB - UniCat KW - Analysis of variance. KW - Linear models (Statistics). KW - Linear models (Statistics) KW - Analysis of variance KW - Mathematics KW - Physical Sciences & Mathematics KW - Mathematical Statistics KW - ANOVA (Analysis of variance) KW - Variance analysis KW - Models, Linear (Statistics) KW - Statistics. KW - Statistical Theory and Methods. KW - Mathematical statistics KW - Experimental design KW - Mathematical models KW - Statistics KW - Mathematical statistics. KW - Statistical inference KW - Statistics, Mathematical KW - Probabilities KW - Sampling (Statistics) KW - Statistical methods KW - Statistics . KW - Statistical analysis KW - Statistical data KW - Statistical science KW - Econometrics UR - https://www.unicat.be/uniCat?func=search&query=sysid:8136685 AB - 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. 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. ER -