The Analysis of Variance Fixed, Random and Mixed Models

The Analysis of Variance Fixed, Random and Mixed Models / by Hardeo Sahai, Mohammed I. Ageel.

The analysis of variance (ANOYA) models have become one of the most widely used tools of modern statistics for analyzing multifactor data. The ANOYA models provide versatile statistical tools for studying the relationship between a dependent variable and one or more independent variables. The ANOYA...

Full description

Saved in:
Bibliographic Details
Main Authors: Sahai, Hardeo (Author), Ageel, Mohammed I. (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2000.
Edition:1st ed. 2000.
Series:Springer eBook Collection.
Subjects:
Applied mathematics.
Engineering mathematics.
Probabilities.
Statistics .
Mathematical analysis.
Analysis (Mathematics).
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • 1. Introduction
  • 2. One-Way Classification
  • 3. Two-Way Crossed Classification Without Interaction
  • 4. Two-Way Crossed Classification With Interaction
  • 5. Three-Way and Higher-Order Crossed Classifications
  • 6. Two-Way Nested (Hierarchical) Classification
  • 7. Three-Way and Higher-Order Nested Classifications
  • 8. Partially Nested Classifications
  • 9. Finite Population and Other Models
  • 10. Some Simple Experimental Designs
  • 11. Analysis of Variance Using Statistical Computing Packages
  • Appendices
  • B Chi-Square Distribution
  • E Noncentral Chi-Square Distribution
  • I Studentized Range Distribution
  • J Studentized Maximum Modulus Distribution
  • K Satterthwaite Procedure and Its Application to
  • Analysis of Variance
  • L Components of Variance
  • M Intraclass Correlation
  • N Analysis of Covariance
  • Q Expected Value and Variance
  • R Covariance and Correlation
  • S Rules for Determining the Analysis of Variance Model
  • T Rules for Calculating Sums of Squares and Degrees of Freedom
  • U Rules for Finding Expected Mean Squares
  • V Samples and Sampling Distribution
  • W Methods of Statistical Inference
  • X Some Selected Latin Squares
  • Y Some Selected Graeco-Latin Squares
  • Z PROC MIXED Outputs for Some Selected
  • Worked Examples
  • Statistical Tables and Charts
  • Tables
  • I Cumulative Standard Normal Distribution
  • II Percentage Points of the Standard Normal Distribution
  • IV Critical Values of the Chi-Square Distribution
  • X Critical Values of the Studentized Range Distribution
  • XI Critical Values of the Dunnett’s Test
  • XII Critical Values of the Duncan’s Multiple Range Test
  • XIV Critical Values of the Dunn-Sidák’s Multiple Comparison Test
  • XV Critical Values of the Studentized Maximum Modulus Distribution
  • XVI Critical Values of the Studentized Augmented Range Distribution
  • XVIII Coefficients of Order Statistics for the Shapiro-Wilk’s W Test for Normality
  • XIX Critical Values of the Shapiro-Wilk’s W Test for Normality
  • XXI Critical Values of the Bartlett’s Test for Homogeneity of Variances
  • XXIII Critical Values of the Cochran’s C Test for Homogeneity of Variances
  • XXIV Random Numbers
  • Charts
  • IV Curves of Constant Power for Determination of Sample Size in a One-Way Analysis of Variance (Fixed
  • Effects Model): Feldt-Mahmoud Charts
  • References
  • Author Index.

Similar Items