Normal view MARC view ISBD view

Components of variance

By: Cox, D.R.
Contributor(s): Solomon, P.J.
Series: Monographs on statistics and applied probability; 97. Publisher: Boca raton Chapman and Hall/CRC 2003Description: x, 169 p.ISBN: 9781584883548.Subject(s): Analysis of variance | Linear models - Statistics | Experimental design | Graphical modeling - StatisticsDDC classification: 519.538 Summary: Identifying the sources and measuring the impact of haphazard variations are important in any number of research applications, from clinical trials and genetics to industrial design and psychometric testing. Only in very simple situations can such variations be represented effectively by independent, identically distributed random variables or by random sampling from a hypothetical infinite population. Components of Variance illuminates the complexities of the subject, setting forth its principles with focus on both the development of models for detailed analyses and the statistical techniques themselves. The authors first consider balanced and unbalanced situations, then move to the treatment of non-normal data, beginning with the Poisson and binomial models and followed by extensions to survival data and more general situations. In the final chapter, they discuss ways of extending and assessing various models, including the study of exceedances, the use of nonlinear representations, the study of transformations of the response variable, and the detailed examination of the distributional form of the underlying random variables. Careful signposting and numerous examples from genetic data analysis, clinical trial design, longitudinal data analysis, industrial design, and meta-analysis make this book accessible - and valuable - not only to statisticians but to all applied research scientists who use statistical methods. (https://www.crcpress.com/Components-of-Variance/Cox-Solomon/p/book/9781584883548)
Tags from this library: No tags from this library for this title. Log in to add tags.
    average rating: 0.0 (0 votes)
Item type Current location Item location Collection Call number Status Date due Barcode
Books Vikram Sarabhai Library
Slot 1428 (0 Floor, East Wing) Non-fiction 519.538 C6C6 (Browse shelf) Available 192458

Table of Contents:
1. Key models and concepts
2. One-way balanced case
3. More general balanced arrangements
4. Unbalanced situations
5. Non-normal problems
6. Model extensions and criticism

Identifying the sources and measuring the impact of haphazard variations are important in any number of research applications, from clinical trials and genetics to industrial design and psychometric testing. Only in very simple situations can such variations be represented effectively by independent, identically distributed random variables or by random sampling from a hypothetical infinite population.

Components of Variance illuminates the complexities of the subject, setting forth its principles with focus on both the development of models for detailed analyses and the statistical techniques themselves. The authors first consider balanced and unbalanced situations, then move to the treatment of non-normal data, beginning with the Poisson and binomial models and followed by extensions to survival data and more general situations. In the final chapter, they discuss ways of extending and assessing various models, including the study of exceedances, the use of nonlinear representations, the study of transformations of the response variable, and the detailed examination of the distributional form of the underlying random variables.

Careful signposting and numerous examples from genetic data analysis, clinical trial design, longitudinal data analysis, industrial design, and meta-analysis make this book accessible - and valuable - not only to statisticians but to all applied research scientists who use statistical methods.

(https://www.crcpress.com/Components-of-Variance/Cox-Solomon/p/book/9781584883548)

There are no comments for this item.

Log in to your account to post a comment.

Powered by Koha