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Linear Models

Detalles Bibliográficos
Autor principal: Searle, Shayle R.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Newark : John Wiley & Sons, Incorporated, 2016.
Colección:New York Academy of Sciences Ser.
Temas:
Acceso en línea:Texto completo

MARC

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035 |a (OCoLC)1347026620 
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100 1 |a Searle, Shayle R. 
245 1 0 |a Linear Models  |h [electronic resource]. 
260 |a Newark :  |b John Wiley & Sons, Incorporated,  |c 2016. 
300 |a 1 online resource (685 p.). 
490 1 |a New York Academy of Sciences Ser. 
500 |a Description based upon print version of record. 
505 0 |a Intro -- Linear Models -- Contents -- Preface -- Preface to First Edition -- About the Companion Website -- Introduction and Overview -- 1 Generalized Inverse Matrices -- 1 Introduction -- a Definition and Existence of a Generalized Inverse -- b An Algorithm for Obtaining a Generalized Inverse -- c Obtaining Generalized Inverses Using the Singular Value Decomposition (SVD) -- 2 Solving Linear Equations -- a Consistent Equations -- b Obtaining Solutions -- c Properties of Solutions -- 3 The Penrose Inverse -- 4 Other Definitions -- 5 Symmetric Matrices -- a Properties of a Generalized Inverse 
505 8 |a B Two More Generalized Inverses of -- 6 Arbitrariness in a Generalized Inverse -- 7 Other Results -- 8 Exercises -- 2 Distributions and Quadratic Forms -- 1 Introduction -- 2 Symmetric Matrices -- 3 Positive Definiteness -- 4 Distributions -- a Multivariate Density Functions -- b Moments -- c Linear Transformations -- d Moment and Cumulative Generating Functions -- e Univariate Normal -- f Multivariate Normal -- g Central 2, F, and t -- h Non-central 2 -- i Non-central F -- j The Non-central t Distribution -- 5 Distribution of Quadratic Forms -- a Cumulants -- b Distributions -- c Independence 
505 8 |a 6 Bilinear Forms -- 7 Exercises -- 3 Regression for the Full-Rank Model -- 1 Introduction -- a The Model -- b Observations -- c Estimation -- d The General Case of k x Variables -- e Intercept and No-Intercept Models -- 2 Deviations From Means -- 3 Some Methods of Estimation -- a Ordinary Least Squares -- b Generalized Least Squares -- c Maximum Likelihood -- d The Best Linear Unbiased Estimator (b.l.u.e.)(Gauss-Markov Theorem) -- e Least-squares Theory When The Parameters are Random Variables -- 4 Consequences of Estimation -- a Unbiasedness -- b Variances -- c Estimating E(y) 
505 8 |a D Residual Error Sum of Squares -- e Estimating the Residual Error Variance -- f Partitioning the Total Sum of Squares -- g Multiple Correlation -- 5 Distributional Properties -- a The Vector of Observations y is Normal -- b The Least-square Estimator ̂b is Normal -- c The Least-square Estimator ̂b and the Estimator of the Variance ̂ 2 are Independent -- d The Distribution of SSE/2 is a 2 Distribution -- e Non-central 2′ s -- f F-distributions -- g Analyses of Variance -- h Tests of Hypotheses -- i Confidence Intervals -- j More Examples -- k Pure Error -- 6 The General Linear Hypothesis 
505 8 |a A Testing Linear Hypothesis -- b Estimation Under the Null Hypothesis -- c Four Common Hypotheses -- d Reduced Models -- e Stochastic Constraints -- f Exact Quadratic Constraints (Ridge Regression) -- 7 Related Topics -- a The Likelihood Ratio Test -- b Type I and Type II Errors -- c The Power of a Test -- d Estimating Residuals -- 8 Summary of Regression Calculations -- 9 Exercises -- 4 Introducing Linear Models: Regression on Dummy Variables -- 1 Regression on Allocated Codes -- a Allocated Codes -- b Difficulties and Criticism -- c Grouped Variables -- d Unbalanced Data 
500 |a 2 Regression on Dummy (0, 1) Variables 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
655 0 |a Electronic books. 
758 |i has work:  |a Linear models (Text)  |1 https://id.oclc.org/worldcat/entity/E39PCGW4xqWYVjDFyKTRKmDdcd  |4 https://id.oclc.org/worldcat/ontology/hasWork 
776 0 8 |i Print version:  |a Searle, Shayle R.  |t Linear Models  |d Newark : John Wiley & Sons, Incorporated,c2016  |z 9781118952832 
830 0 |a New York Academy of Sciences Ser. 
856 4 0 |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=7104274  |z Texto completo 
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