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Formulas useful for linear regression analysis and related matrix theory : it's only formulas but we like them / / Simo Puntanen, George P.H. Styan, Jarkko Isotalo



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Autore: Puntanen Simo Visualizza persona
Titolo: Formulas useful for linear regression analysis and related matrix theory : it's only formulas but we like them / / Simo Puntanen, George P.H. Styan, Jarkko Isotalo Visualizza cluster
Pubblicazione: New York, : Springer, 2013
Edizione: 1st ed. 2013.
Descrizione fisica: 1 online resource (137 p.)
Disciplina: 510.212
Soggetto topico: Linear systems - Mathematical models
Mathematics - Formulae
Altri autori: StyanGeorge Peter Hansbenno  
IsotaloJarkko  
Note generali: Includes index.
Nota di contenuto: The 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.
Sommario/riassunto: This 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.
Titolo autorizzato: Formulas useful for linear regression analysis and related matrix theory  Visualizza cluster
ISBN: 3-642-32931-4
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910438151603321
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Serie: SpringerBriefs in Statistics, . 2191-544X