rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Statistical tests in mixed linear models
  name:
    name part: Khuri, André I.
    name part: 1940-
    role:
      role term: creator
  name:
    name part: Mathew, Thomas
    name part: 1955-
  name:
    name part: Sinha, Bimal K.
    name part: 1946-
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: nyu
    place:
      place term: New York
    publisher: Wiley
    date issued: ©1998
    date issued: 1998
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (xv, 352 pages)
  abstract: & B & An advanced discussion of linear models with mixed or random effects. & /b & & p & In recent years a breakthrough has occurred in our ability to draw inferences from exact and optimum tests of variance component models, generating much research activity that relies on linear models with mixed and random effects. This volume covers the most important research of the past decade as well as the latest developments in hypothesis testing. It compiles all currently available results in the area of exact and optimum tests for variance component models and offers the only comprehensive treatment for these.
  table of contents: Statistical Tests for Mixed Linear Models; Contents; Preface; 1. Nature of Exact and Optimum Tests in Mixed Linear Models; 1.1. Introduction; 1.2. Exact F-Tests; 1.3. Optimality of Tests; 1.3.1. Uniformly Most Powerful Similar and Uniformly Most Powerful Unbiased Tests; 1.3.2. Uniformly Most Powerful Invariant and Locally Most Powerful or Locally Best Invariant Tests; Appendix 1.1. Distribution of a Maximal Invariant T (x): Wijsman's Representation Theorem; Bibliography; 2. Balanced Random and Mixed Models; 2.1. Introduction; 2.2. Balanced Models -- Notations and Definitions.
  table of contents: 2.3. Balanced Model Properties2.4. Balanced Mixed Models: Distribution Theory; 2.5. Derivation of Optimum Tests; 2.5.1. A Numerical Example; 2.6. Approximate and Exact Tests; 2.6.1. Satterthwaite's Approximation; 2.6.2. Exact Unbiased Tests of Bartlett-Scheffé Type; Exercises; Bibliography; 3. Measures of Data Imbalance; 3.1. Introduction; 3.2. The Effects of Imbalance; 3.2.1. The Variance of s2t; 3.2.2. The Probability of a Negative s2t; 3.2.3. Power of the Test Concerning s2t; 3.3. Measures of Imbalance for the One-Way Model; 3.3.1. The Effect of Imbalance on Var(s2t).
  table of contents: 3.3.2. The Effect of Imbalance on the Test Concerning s2t3.4. A General Procedure For Measuring Imbalance; 3.4.1. The One-Way Classification Model; 3.4.2. The Two-Way Classification Model; 3.4.3. The Three-Way Classification Model; 3.5. Special Types of Imbalance; 3.5.1. The Two-Fold Nested Classification Model; 3.5.2. A Model With a Mixture of Cross-Classified and Nested Effects; 3.6. A General Method for Determining the Effect of Imbalance; 3.6.1. Generation of Designs Having a Specified Degree of Imbalance for the One-Way Model; 3.6.2. An Example; 3.7. Summary.
  table of contents: Appendix 3.1. Hirotsu's ApproximationExercises; Bibliography; 4. Unbalanced One-Way and Two-Way Random Models; 4.1. Introduction; 4.2. Unbalanced One-Way Random Models; 4.3. Two-Way Random Models; 4.3.1. Models Without Interaction: Exact Tests; 4.3.2. Models Without Interaction: Optimum Tests; 4.3.3. Models With Interaction: Exact Tests; 4.3.4. A Numerical Example; 4.4. Random Two-Fold Nested Models; 4.4.1. Testing Hß(t) : s2ß(t) = 0; 4.4.2. Testing Ht : s2t = 0; Exercises; Bibliography; 5. Random Models with Unequal Cell Frequencies in the Last Stage; 5.1. Introduction.
  table of contents: 5.2. Unbalanced Random Models With Imbalance In The Last Stage Only-Notation5.3. Unbalanced Random Models With Imbalance In The Last Stage Only-Analysis; 5.3.1. Derivation of Exact Tests; 5.4. More on Exact Tests; 5.4.1. Power of the Exact Tests; 5.4.2. Sufficient Statistics Associated With the Exact Tests; 5.5. A Numerical Example; Exercises; Bibliography; 6. Tests in Unbalanced Mixed Models; 6.1. Introduction; 6.2. Mixed Models With Two Variance Components; 6.2.1. Test for Ht : t1 = ... = t?; 6.2.2. Optimum Test for Ht : s2t = 0.
  note: André I. Khuri, Thomas Mathew, Bimal K. Sinha.
  note: Includes bibliographical references (pages 335-343) and indexes.
  subject:
    topic: Linear models (Statistics)
  subject:
    topic: Statistical hypothesis testing
  classification: QA279 .K484 1998eb
  classification: 519.5/6
  related item:
    title info:
      title: Statistical tests in mixed linear models
    name:
      name part: Khuri, André I., 1940-
    origin info:
      publisher: New York : Wiley, ©1998
    identifier: (DLC) 97022363
  identifier: 9781118164853
  identifier: 1118164857
  identifier: 1283273977
  identifier: 9781283273978
  identifier: 0471156531
  identifier: 9780471156536
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: NhCcYBP
    record creation date: 111017
    record change date: 20260214214551.2
    record identifier: in00004679473
    language of cataloging:
      language term: eng