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About this book :-
Statistical Texts for Mixed Linear Models written by
Andre I. Khuri, Thomas Mathew, Bimal K. Sinha
The object of the present book is to address an important aspect not covered in the above books, namely, hypothesis testing.
In practical applications involving a variance component model, testing the significance of the fixed effects and variance components is an important part of data analysis. The result of such tests can be of practical interest in itself. Furthermore, if an effect is not significant, it may be possible to use a reduced model, involving fewer parameters, for a subsequent analysis. Data that are typically analyzed using a mixed model can be balanced or unbalanced. Data with equal numbers of observations in the subclasses are described as balanced data, whereas those with unequal numbers of observations in the subclasses, including perhaps some that contain no observations at all (empty subclasses or empty cells), are called unbalanced data. Frequently, when an experiment is run under several treatment combinations, the resulting data are in general unbalanced. This includes the especially troublesome situation in which no data are available on some treatment combinations, which is commonly referred to as the missing-cell problem.
Book Detail :-
Title: Statistical Texts for Mixed Linear Models
Edition:
Author(s): Andre I. Khuri, Thomas Mathew, Bimal K. Sinha
Publisher:
Series: Wiley Series in Probability and Statistics
Year: 1998
Pages: 370
Type: PDF
Language: English
ISBN: 9780471156536,9781118164860
Country: US
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About Author :-
The author Andre I. Khuri is a PHD and Professor Emeritus of Statistics at the University of Florida. He is the author of Advanced Calculus with Applications in Statistics, Second Edition and co-author of Statistical Tests for Mixed Linear Models, all published by Wiley. Dr. Khuri is a member of numerous academic associations, among them the American Statistical Association and the Institute of Mathematical Statistics.
All Famous Books of this Author :-
Here is list all books, text books, editions, versions, solution manuals or solved notes avaliable of this author, We recomended you to download all.
• Download PDF Advanced Calculus with Applications in Statistics, 2E by André I. Khuri
• Download PDF Matrix Algebra Useful for Statistics, 2E by Shayle R. Searle, Andre I. Khuri
• Download PDF Linear Model Methodology by Andre I. Khuri
• Download PDF Statistical Texts for Mixed Linear Models by Andre I. Khuri, Mathew, Sinha
• Download PDF Response Surface Methodology and Related Topics by Andre I. Khuri
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Book Contents :-
Statistical Texts for Mixed Linear Models written by
Andre I. Khuri, Thomas Mathew, Bimal K. Sinha
cover the following topics.
'
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.Content:
1. Nature of Exact and Optimum Tests in Mixed Linear Models (pages 1–18):
2. Balanced Random and Mixed Models (pages 19–52):
3. Measures of Data Imbalance (pages 53–94):
4. Unbalanced One?Way and Two?Way Random Models (pages 95–118):
5. Random Models with Unequal Cell Frequencies in the Last Stage (pages 119–140):
6. Tests in Unbalanced Mixed Models (pages 141–171):
7. Recovery of Inter?block Information (pages 172–205):
8. Split?plot Designs Under Mixed and Random Models (pages 206–235):
9. Tests Using Generalized P?Values (pages 236–255):
10. Multivariate Mixed and Random Models (pages 256–296):
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