LEADER 02966nam 2200517 450 001 996418190403316 005 20220318090905.0 010 $a3-030-52074-9 024 7 $a10.1007/978-3-030-52074-8 035 $a(CKB)4100000011558708 035 $a(DE-He213)978-3-030-52074-8 035 $a(MiAaPQ)EBC6383599 035 $a(MiAaPQ)EBC6647499 035 $a(Au-PeEL)EBL6383599 035 $a(OCoLC)1236263048 035 $a(Au-PeEL)EBL6647499 035 $a(OCoLC)1225562938 035 $a(PPN)252509641 035 $a(EXLCZ)994100000011558708 100 $a20220318d2020 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aLinear model theory $eexercises and solutions /$fDale L. Zimmerman 205 $a1st ed. 2020. 210 1$aCham, Switzerland :$cSpringer,$d[2020] 210 4$dİ2020 215 $a1 online resource (VII, 353 p. 4 illus.) 311 $a3-030-52073-0 327 $a1 A Brief Introduction -- 2 Selected Matrix Algebra Topics and Results -- 3 Generalized Inverses and Solutions to Sytems of Linear Equations -- 4 Moments of a Random Vector and of Linear and Quadratic Forms in a Random Vector -- 5 Types of Linear Models -- 6 Estimability -- 7 Least Squares Estimation for the Gauss-Markov Model -- 8 Least Squares Geometry and the Overall ANOVA -- 9 Least Squares Estimation and ANOVA for Partitioned Models -- 10 Constrained Least Squares Estimation and ANOVA -- 11 Best Linear Unbiased Estimation for the Aitken Model -- 12 Model Misspecification -- 13 Best Linear Unbiased Prediction -- 14 Distribution Theory -- 15 Inference for Estimable and Predictable Functions -- 16 Inference for Variance-Covariance Parameters -- 17 Empirical BLUE and BLUP. 330 $aThis book contains 296 exercises and solutions covering a wide variety of topics in linear model theory, including generalized inverses, estimability, best linear unbiased estimation and prediction, ANOVA, confidence intervals, simultaneous confidence intervals, hypothesis testing, and variance component estimation. The models covered include the Gauss-Markov and Aitken models, mixed and random effects models, and the general mixed linear model. Given its content, the book will be useful for students and instructors alike. Readers can also consult the companion textbook Linear Model Theory - With Examples and Exercises by the same author for the theory behind the exercises. 606 $aLinear models (Statistics)$vProblems, exercises, etc 606 $aMathematical statistics$vProblems, exercises, etc 615 0$aLinear models (Statistics) 615 0$aMathematical statistics 676 $a519.5 700 $aZimmerman$b Dale L.$0845466 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996418190403316 996 $aLinear Model Theory$91887119 997 $aUNISA