LEADER 03579nam 22007335 450 001 9910438151603321 005 20250408085155.0 010 $a3-642-32931-4 024 7 $a10.1007/978-3-642-32931-9 035 $a(CKB)2670000000371289 035 $a(EBL)1082620 035 $a(OCoLC)849295423 035 $a(SSID)ssj0000904254 035 $a(PQKBManifestationID)11474232 035 $a(PQKBTitleCode)TC0000904254 035 $a(PQKBWorkID)10920956 035 $a(PQKB)11343390 035 $a(DE-He213)978-3-642-32931-9 035 $a(MiAaPQ)EBC1082620 035 $a(PPN)170490343 035 $a(EXLCZ)992670000000371289 100 $a20130531d2013 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aFormulas Useful for Linear Regression Analysis and Related Matrix Theory $eIt's Only Formulas But We Like Them /$fby Simo Puntanen, George P. H. Styan, Jarkko Isotalo 205 $a1st ed. 2013. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2013. 215 $a1 online resource (137 p.) 225 1 $aSpringerBriefs in Statistics,$x2191-5458 300 $aIncludes index. 311 08$a3-642-32930-6 327 $aThe Model Matrix -- Fitted Values and Residuals -- Regression Coefficients -- Alternative Estimators -- Decompositions of Sums of Squares -- Partial Correlations -- Distributions -- Testing Hypotheses -- Diagnostics -- BLUE: Some Helpful Identities -- Estimability -- Best Linear Unbiased Estimator -- The Watson Efficiency -- Linear Sufficiency and Admissibility -- Best Linear Unbiased Predictor -- Mixed Model -- Multivariate Linear Model -- Inverse of a Partitioned Matrix -- Generalized Inverses -- Projectors -- Eigenvalues -- Discriminant Analysis -- Factor Analysis -- Canonical Correlations -- Matrix Decompositions -- Principal Component Analysis -- Löwner Ordering -- Rank Rules -- Inequalities -- Kronecker Product -- Matrix Derivatives. 330 $aThis is an unusual book because it contains a great deal of formulas. Hence it is a blend of monograph, textbook, and handbook. It is intended for students and researchers who need quick access to useful formulas appearing in the linear regression model and related matrix theory. This is not a regular textbook - this is supporting material for courses given in linear statistical models. Such courses are extremely common at universities with quantitative statistical analysis programs. 410 0$aSpringerBriefs in Statistics,$x2191-5458 606 $aStatistics 606 $aAlgebras, Linear 606 $aEconometrics 606 $aStatistics 606 $aStatistical Theory and Methods 606 $aLinear Algebra 606 $aEconometrics 606 $aStatistics in Business, Management, Economics, Finance, Insurance 615 0$aStatistics. 615 0$aAlgebras, Linear. 615 0$aEconometrics. 615 0$aStatistics. 615 14$aStatistical Theory and Methods. 615 24$aLinear Algebra. 615 24$aEconometrics. 615 24$aStatistics in Business, Management, Economics, Finance, Insurance. 676 $a510.212 700 $aPuntanen$b Simo$01060842 701 $aStyan$b George Peter Hansbenno$0251614 701 $aIsotalo$b Jarkko$01754919 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910438151603321 996 $aFormulas useful for linear regression analysis and related matrix theory$94191434 997 $aUNINA