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Statistical Tests for Mixed Linear Models

Statistical Tests for Mixed Linear Models

André I. Khuri, Thomas Mathew, Bimal K. Sinha

ISBN: 978-1-118-16486-0

Sep 2011

384 pages

Description

An advanced discussion of linear models with mixed or random effects.

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 models at an advanced level.

Statistical Tests for Mixed Linear Models:

  • Combines analysis and testing in one self-contained volume.
  • Describes analysis of variance (ANOVA) procedures in balanced and unbalanced data situations.
  • Examines methods for determining the effect of imbalance on data analysis.
  • Explains exact and optimum tests and methods for their derivation.
  • Summarizes test procedures for multivariate mixed and random models.
  • Enables novice readers to skip the derivations and discussions on optimum tests. Offers plentiful examples and exercises, many of which are numerical in flavor.
  • Provides solutions to selected exercises.

Statistical Tests for Mixed Linear Models is an accessible reference for researchers in analysis of variance, experimental design, variance component analysis, and linear mixed models. It is also an important text for graduate students interested in mixed models.

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Nature of Exact and Optimum Tests in Mixed Linear Models.

Balanced Random and Mixed Models.

Measures of Data Imbalance.

Unbalanced One-Way and Two-Way Random Models.

Random Models with Unequal Cell Frequencies in the Last Stage.

Tests in Unbalanced Mixed Models.

Recovery of Inter-Block Information.

Split-Plot Designs Under Mixed and Random Models.

Tests Using Generalized P-Values.

Multivariate Mixed and Random Models.

Appendix.

General Bibliography.

Indexes.
"...compiles the available results in this area into a single volume." (Quarterly of Applied Mathematics, Vol. LIX, No. 3, September 2001)

"...the authors are to be congratulated for this important and useful book...the authors state...'it will contribute to the development of the area, and enhance its exposure and usefulness.' The reviewers agree." (Mathematical Geology)