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Variance components

Author: S R Searle; George Casella; Charles E McCulloch
Publisher: New York : Wiley, ©1992.
Series: Wiley series in probability and mathematical statistics., Applied probability and statistics.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"This book presents broad coverage of variance components estimation and mixed models. Its chapters cover history (Chapter 2), analysis of variance estimation (Chapters 3, 4, and 5), maximum likelihood (ML) estimation, including restricted ML and computational methods (Chapters 6 and 8), prediction in mixed models (Chapter 7), Bayes estimation and hierarchical models (Chapter 9), categorical data (Chapter 10),
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Additional Physical Format: Online version:
Searle, S.R. (Shayle R.), 1928-
Variance components.
New York : Wiley, ©1992
(OCoLC)664428372
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: S R Searle; George Casella; Charles E McCulloch
ISBN: 0471621625 9780471621621
OCLC Number: 23902113
Notes: "A Wiley-Interscience publication."
Description: xxiii, 501 pages ; 25 cm.
Contents: History and Comment --
The 1-Way Classification --
Balanced Data --
Analysis of Variance Estimation for Unbalanced Data --
Maximum Likelihood (ML) and Restricted Maximum Likelihood (REML) --
Prediction of Random Variables --
Computing ML and REML Estimates --
Hierarchical Models and Bayesian Estimation --
Binary and Discrete Data --
Other Procedures --
The Dispersion-Mean Model --
Estimation Formulae for Unbalanced Data --
Some Results in Matrix Algebra --
Some Results in Statistics.
Series Title: Wiley series in probability and mathematical statistics., Applied probability and statistics.
Responsibility: Shayle R. Searle, George Casella, Charles E. McCulloch.
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Abstract:

Examines the estimation of variance components and the prediction of realized but unobservable values of random variables in both the analysis of variance models and in binary and discrete data.  Read more...

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Primary Entity<\/h3>\n
<http:\/\/www.worldcat.org\/oclc\/23902113<\/a>> # Variance components<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Book<\/a>, schema:CreativeWork<\/a> ;\u00A0\u00A0\u00A0\nlibrary:oclcnum<\/a> \"23902113<\/span>\" ;\u00A0\u00A0\u00A0\nlibrary:placeOfPublication<\/a> <http:\/\/id.loc.gov\/vocabulary\/countries\/nyu<\/a>> ;\u00A0\u00A0\u00A0\nlibrary:placeOfPublication<\/a> <http:\/\/dbpedia.org\/resource\/New_York_City<\/a>> ; # New York<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/24837006#Thing\/multivariate_analysis<\/a>> ; # Multivariate analysis<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/24837006#Topic\/analysis_of_variance<\/a>> ; # Analysis of variance<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/24837006#Topic\/modeles_lineaires_statistiques<\/a>> ; # Mod\u00E8les lin\u00E9aires (statistiques)<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/24837006#Topic\/variables_aleatoires<\/a>> ; # Variables al\u00E9atoires<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/24837006#Topic\/variantieanalyse<\/a>> ; # Variantieanalyse<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/dewey.info\/class\/519.538\/e20\/<\/a>> ;\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/24837006#Topic\/analyse_de_variance<\/a>> ; # Analyse de variance<\/span>\n\u00A0\u00A0\u00A0\nschema:bookFormat<\/a> bgn:PrintBook<\/a> ;\u00A0\u00A0\u00A0\nschema:contributor<\/a> <http:\/\/viaf.org\/viaf\/32078162<\/a>> ; # Charles E. McCulloch<\/span>\n\u00A0\u00A0\u00A0\nschema:contributor<\/a> <http:\/\/viaf.org\/viaf\/5007925<\/a>> ; # George Casella<\/span>\n\u00A0\u00A0\u00A0\nschema:copyrightYear<\/a> \"1992<\/span>\" ;\u00A0\u00A0\u00A0\nschema:creator<\/a> <http:\/\/viaf.org\/viaf\/93406143<\/a>> ; # Shayle R. Searle<\/span>\n\u00A0\u00A0\u00A0\nschema:datePublished<\/a> \"1992<\/span>\" ;\u00A0\u00A0\u00A0\nschema:description<\/a> \"\"This broad array of topics will appeal to research workers, to students, and to anyone interested in the use of mixed models and variance components for statistically analyzing data. The book will serve as a reference for a wide spectrum of topics for practicing statisticians. For students, it is suitable for linear models courses that include material on mixed models, variance components, and prediction. For graduate courses, there are at least four levels at which the book can be used: (I) As part of a solid linear models course use Chapters 1, 3, and 4, with 2 as supplementary reading. (II) These same chapters, presented in detail, could also be used for a 1-quarter, or slowly paced 1-semester, course on variance components. (III) An advanced course would use Chapters 1 and 2 for an introduction, followed by an overview of Chapters 3 through 5. Then sections 8.1-8.3, Chapters 10 and 11, sections 9.1-9.4, ending with the mathematical synthesis of sections 12.1-12.5 would round out the course. (IV) Finally, the entire book would be suitable for a 2- semester or 3-quarter course.\" \"Nowhere else is there a book devoted solely to variance components with the breadth of topics found in this one.\"--Jacket.<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\nschema:exampleOfWork<\/a> <http:\/\/worldcat.org\/entity\/work\/id\/24837006<\/a>> ;\u00A0\u00A0\u00A0\nschema:inLanguage<\/a> \"en<\/span>\" ;\u00A0\u00A0\u00A0\nschema:isPartOf<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/24837006#Series\/wiley_series_in_probability_and_mathematical_statistics<\/a>> ; # Wiley series in probability and mathematical statistics.<\/span>\n\u00A0\u00A0\u00A0\nschema:isPartOf<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/24837006#Series\/wiley_series_in_probability_and_mathematical_statistics_applied_probability_and_statistics<\/a>> ; # Wiley series in probability and mathematical statistics. 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<http:\/\/experiment.worldcat.org\/entity\/work\/data\/24837006#Topic\/modeles_lineaires_statistiques<\/a>> # Mod\u00E8les lin\u00E9aires (statistiques)<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Mod\u00E8les lin\u00E9aires (statistiques)<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/24837006#Topic\/variables_aleatoires<\/a>> # Variables al\u00E9atoires<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Variables al\u00E9atoires<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/24837006#Topic\/variantieanalyse<\/a>> # Variantieanalyse<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Variantieanalyse<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
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<http:\/\/viaf.org\/viaf\/5007925<\/a>> # George Casella<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Person<\/a> ;\u00A0\u00A0\u00A0\nschema:familyName<\/a> \"Casella<\/span>\" ;\u00A0\u00A0\u00A0\nschema:givenName<\/a> \"George<\/span>\" ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"George Casella<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/viaf.org\/viaf\/93406143<\/a>> # Shayle R. Searle<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Person<\/a> ;\u00A0\u00A0\u00A0\nschema:birthDate<\/a> \"1928<\/span>\" ;\u00A0\u00A0\u00A0\nschema:familyName<\/a> \"Searle<\/span>\" ;\u00A0\u00A0\u00A0\nschema:givenName<\/a> \"Shayle R.<\/span>\" ;\u00A0\u00A0\u00A0\nschema:givenName<\/a> \"S. R.<\/span>\" ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Shayle R. Searle<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
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<http:\/\/www.worldcat.org\/title\/-\/oclc\/23902113#Review\/726840433<\/a>>\u00A0\u00A0\u00A0\u00A0a \nschema:Review<\/a> ;\u00A0\u00A0\u00A0\nschema:itemReviewed<\/a> <http:\/\/www.worldcat.org\/oclc\/23902113<\/a>> ; # Variance components<\/span>\n\u00A0\u00A0\u00A0\nschema:reviewBody<\/a> \"\"This book presents broad coverage of variance components estimation and mixed models. Its chapters cover history (Chapter 2), analysis of variance estimation (Chapters 3, 4, and 5), maximum likelihood (ML) estimation, including restricted ML and computational methods (Chapters 6 and 8), prediction in mixed models (Chapter 7), Bayes estimation and hierarchical models (Chapter 9), categorical data (Chapter 10), covariance components and minimum norm estimation (Chapter 11), and finally, the dispersion-mean model, kurtosis and fourth moments (Chapter 12). Estimation from balanced data (having the same number of observations in the subclasses) is dealt with fully in Chapter 4, and in parts of Chapters 3 and 12; and elsewhere, estimation from unbalanced data (having unequal numbers of observations in the subclasses) is dealt with at great length with numerous details for the 1-way and 2-way classifications.\"<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n\n

Content-negotiable representations<\/p>\n