Formulas Useful for Linear Regression Analysis and Related Matrix Theory

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Beschreibung

This unusual book 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.

(Nicoleta Breaz, zbMATH, Vol. 1276, 2014)

Autorentext

Simo Puntanen earned his PhD in statistics from the University of Tampere (Tampere, Finland) in 1987, where he is now a Docent and Lecturer of Statistics. He has published over 110 research papers in matrix methods for statistics with particular emphasis on linear statistical models. He is currently the book review editor of the International Statistical Review.

Jarkko Isotalo earned his PhD in statistics from the University of Tampere (Tampere, Finland) in 2007, where he is now a Lecturer of Statistics. His main research interests have been linear statistical models, matrix methods for statistics, and computational statistics. He is currently also doing applied research on statistical genetics. Puntanen, Styan, and Isotalo, knowing just what is expected of authors, would like to agree with P. G. Wodehouse and apologize for childhoods that were as normal as rice-pudding and lives that consisted of little more than sitting in front of the laptop and cursing a bit.

George P. H. Styan earned his PhD in mathematical statistics from Columbia University in 1969 and received an Honorary PhD from the University of Tampere in 2000. He is now Professor Emeritus of Mathematics and Statistics at McGill University in Montreal, Canada. He has published over 140 research papers, mostly in matrix methods for statistics, and since 2005, his main interests have focused on magic squares, and mathematical and statistical philately.



Klappentext
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.



Inhalt

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.

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Produktinformationen

Titel
Formulas Useful for Linear Regression Analysis and Related Matrix Theory
Untertitel
It's Only Formulas But We Like Them
Autor
EAN
9783642329302
ISBN
3642329306
Format
Kartonierter Einband
Herausgeber
Springer-Verlag GmbH
Genre
Mathematik
Anzahl Seiten
131
Gewicht
224g
Größe
H235mm x B155mm x T7mm
Jahr
2013
Untertitel
Englisch
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