LEADER 03412nam 22006015 450 001 9910631096703321 005 20250611144621.0 010 $a9783031081767$b(electronic bk.) 010 $z9783031081750 024 7 $a10.1007/978-3-031-08176-7 035 $a(MiAaPQ)EBC7140429 035 $a(Au-PeEL)EBL7140429 035 $a(CKB)25332817500041 035 $a(PPN)266354459 035 $a(DE-He213)978-3-031-08176-7 035 $a(EXLCZ)9925332817500041 100 $a20221114d2022 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aLinear Models and Design /$fby Jay H. Beder 205 $a1st ed. 2022. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2022. 215 $a1 online resource (358 pages) 311 08$aPrint version: Beder, Jay H. Linear Models and Design Cham : Springer International Publishing AG,c2022 9783031081750 320 $aIncludes bibliographical references and index. 330 $aThis book is designed as a textbook for graduate students and as a resource for researchers seeking a thorough mathematical treatment of its subject. It develops the main results of regression and the analysis of variance, as well as the central results on confounded and fractional factorial experiments. Matrix theory is deemphasized; its role is taken instead by the theory of linear transformations between vector spaces. The text gives a carefully paced and unified presentation of two topics, linear models and experimental design. Students are assumed to have a solid background in linear algebra, basic knowledge of regression and analysis of variance, and some exposure to experimental design, and should be comfortable with reading and constructing mathematical proofs. The book leads students into the mathematical theory, including many examples both for motivation and for illustration. Over 130 exercises of varying difficulty are included. An extensive mathematical appendix and a detailed index make the text especially accessible. Linear Models and Design can serve as a textbook for a year-long course in the topics covered, or for a one-semester course in either linear model theory or experimental design. It prepares students for more advanced topics in the field, and assists in developing a thoughtful approach to the existing literature. It includes a guide to terminology as well as discussion of the history and development of ideas, and offers a fresh perspective on the fundamental concepts and results of the subject. 606 $aStatistics 606 $aExperimental design 606 $aBiometry 606 $aStatistical Theory and Methods 606 $aDesign of Experiments 606 $aBiostatistics 606 $aModels lineals (Estadística)$2thub 608 $aLlibres electrònics$2thub 615 0$aStatistics. 615 0$aExperimental design. 615 0$aBiometry. 615 14$aStatistical Theory and Methods. 615 24$aDesign of Experiments. 615 24$aBiostatistics. 615 7$aModels lineals (Estadística) 676 $a519.5 676 $a519.535 700 $aBeder$b Jay H.$01264891 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 912 $a9910631096703321 996 $aLinear Models and Design$92965749 997 $aUNINA