LEADER 03076nam 2200589Ia 450 001 9910438151603321 005 20200520144314.0 010 $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 $a20130314d2013 uy 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 $eit's only formulas but we like them /$fSimo Puntanen, George P.H. Styan, Jarkko Isotalo 205 $a1st ed. 2013. 210 $aNew York $cSpringer$d2013 215 $a1 online resource (137 p.) 225 0 $aSpringer briefs in statistics 300 $aIncludes index. 311 $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,$x2191-544X 606 $aLinear systems$xMathematical models 606 $aMathematics$xFormulae 615 0$aLinear systems$xMathematical models. 615 0$aMathematics$xFormulae. 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