LEADER 02899nam 2200481 450 001 9910484852103321 005 20210313090136.0 010 $a981-15-8659-4 024 7 $a10.1007/978-981-15-8659-0 035 $a(CKB)4100000011568959 035 $a(DE-He213)978-981-15-8659-0 035 $a(MiAaPQ)EBC6455935 035 $a(PPN)252505352 035 $a(EXLCZ)994100000011568959 100 $a20210313d2020 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 12$aA first course in linear models and design of experiments /$fN. R. Mohan Madhyastha, S. Ravi, A. S. Praveena 205 $a1st ed. 2020. 210 1$aSingapore :$cSpringer,$d[2020] 210 4$dİ2020 215 $a1 online resource (XIV, 230 p. 26 illus.) 300 $aIncludes index. 311 $a981-15-8658-6 327 $aLinear Estimation -- Linear Hypotheses and Their Tests -- Block Designs -- Row-Column Designs -- Factorial Experiments -- Analysis of Covariance -- Missing Plot Technique -- Split Plot Design. 330 $aThis textbook presents the basic concepts of linear models, design and analysis of experiments. With the rigorous treatment of topics and provision of detailed proofs, this book aims at bridging the gap between basic and advanced topics of the subject. Initial chapters of the book explain linear estimation in linear models and testing of linear hypotheses, and the later chapters apply this theory to the analysis of specific models in designing statistical experiments. The book includes topics on the basic theory of linear models covering estimability, criteria for estimability, Gauss?Markov theorem, confidence interval estimation, linear hypotheses and likelihood ratio tests, the general theory of analysis of general block designs, complete and incomplete block designs, general row column designs with Latin square design and Youden square design as particular cases, symmetric factorial experiments, missing plot technique, analyses of covariance models, split plot and split block designs. Every chapter has examples to illustrate the theoretical results and exercises complementing the topics discussed. R codes are provided at the end of every chapter for at least one illustrative example from the chapter enabling readers to write similar codes for other examples and exercise. 606 $aLinear models (Statistics) 606 $aExperimental design 615 0$aLinear models (Statistics) 615 0$aExperimental design. 676 $a519.5 700 $aMadhyastha$b N. R. Mohan$0978509 702 $aPraveena$b A. S. 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910484852103321 996 $aA first course in linear models and design of experiments$92230337 997 $aUNINA