{"product_id":"9780471214885","title":"Linear Model Theory Univariate, Multivariate, and Mixed Models","description":"\u003ch1\u003eLinear Model Theory\u003c\/h1\u003e\u003ch2\u003eUnivariate, Multivariate, and Mixed Models\u003c\/h2\u003e\u003ch3\u003eKeith E. Muller | Paul W. Stewart\u003c\/h3\u003e\u003cdiv\u003e\u003cb\u003eMathematics \/ Probability \u0026amp; Statistics \/ General\u003c\/b\u003e\u003c\/div\u003e\u003cbr\u003e\u003cdiv\u003e\n\u003cb\u003eA precise and accessible presentation of linear model theory, illustrated with data examples\u003c\/b\u003e  \u003cp\u003eStatisticians often use linear models for data analysis and for developing new statistical methods. Most books on the subject have historically discussed univariate, multivariate, and mixed linear models separately, whereas \u003ci\u003eLinear Model Theory: Univariate, Multivariate, and Mixed Models\u003c\/i\u003e presents a unified treatment in order to make clear the distinctions among the three classes of models.\u003c\/p\u003e \u003cp\u003e\u003ci\u003eLinear Model Theory: Univariate, Multivariate, and Mixed Models\u003c\/i\u003e begins with six chapters devoted to providing brief and clear mathematical statements of models, procedures, and notation. Data examples motivate and illustrate the models. Chapters 7-10 address distribution theory of multivariate Gaussian variables and quadratic forms. Chapters 11-19 detail methods for estimation, hypothesis testing, and confidence intervals. The final chapters, 20-23, concentrate on choosing a sample size. Substantial sets of excercises of varying difficulty serve instructors for their classes, as well as help students to test their own knowledge.\u003c\/p\u003e \u003cp\u003eThe reader needs a basic knowledge of statistics, probability, and inference, as well as a solid background in matrix theory and applied univariate linear models from a matrix perspective. Topics covered include:\u003c\/p\u003e \u003cul\u003e \u003cli\u003eA review of matrix algebra for linear models\u003c\/li\u003e \u003cli\u003eThe general linear univariate model\u003c\/li\u003e \u003cli\u003eThe general linear multivariate model\u003c\/li\u003e \u003cli\u003eGeneralizations of the multivariate linear model\u003c\/li\u003e \u003cli\u003eThe linear mixed model\u003c\/li\u003e \u003cli\u003eMultivariate distribution theory\u003c\/li\u003e \u003cli\u003eEstimation in linear models\u003c\/li\u003e \u003cli\u003eTests in Gaussian linear models\u003c\/li\u003e \u003cli\u003eChoosing a sample size in Gaussian linear models\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003eFilling the need for a text that provides the necessary theoretical foundations for applying a wide range of methods in real situations, \u003ci\u003eLinear Model Theory: Univariate, Multivariate, and Mixed Models\u003c\/i\u003e centers on linear models of interval scale responses with finite second moments. Models with complex predictors, complex responses, or both, motivate the presentation.\u003c\/p\u003e\n\u003c\/div\u003e\u003cdiv\u003e  \u003cb\u003eKEITH E. MULLER\u003c\/b\u003e, PhD, is Professor and Director of the Division of Biostatistics in the Department of Epidemiology and Health Policy Research in the College of Medicine at the University of Florida in Gainesville, as well as Professor Emeritus of Biostatistics at The University of North Carolina at Chapel Hill where the book was written.  \u003cp\u003e\u003cb\u003ePAUL W. STEWART\u003c\/b\u003e, PhD, is Research Associate Professor of Biostatistics at The University of North Carolina at Chapel Hill.\u003c\/p\u003e\n\u003c\/div\u003e\u003cbr\u003e\u003ctable\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublication Date: \u003c\/td\u003e\n\u003ctd\u003e04 August 2006\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublisher: \u003c\/td\u003e\n\u003ctd\u003eWiley\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eImprint: \u003c\/td\u003e\n\u003ctd\u003eWiley-Interscience\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eISBN-13: \u003c\/td\u003e\n\u003ctd\u003e9780471214885\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eFormat: \u003c\/td\u003e\n\u003ctd\u003eHardback\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePage Count: \u003c\/td\u003e\n\u003ctd\u003e424\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eWeight (oz): \u003c\/td\u003e\n\u003ctd\u003e24.64\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e","brand":"Wiley","offers":[{"title":"Default Title","offer_id":44378438467724,"sku":"9780471214885","price":157.45,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9780471214885_da9a5deb-5d28-4c42-82cd-c208abbeb47a.jpg?v=1780240132","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9780471214885","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}