Fixed Effects Analysis of Variance

Fixed Effects Analysis of Variance

1st Edition - January 1, 1978

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  • Authors: Lloyd Fisher, John McDonald
  • eBook ISBN: 9781483217864

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Description

Fixed Effects Analysis of Variance covers the mathematical theory of the fixed effects analysis of variance. The book discusses the theoretical ideas and some applications of the analysis of variance. The text then describes topics such as the t-test; two-sample t-test; the k-sample comparison of means (one-way analysis of variance); the balanced two-way factorial design without interaction; estimation and factorial designs; and the Latin square. Confidence sets, simultaneous confidence intervals, and multiple comparisons; orthogonal and nonorthologonal designs; and multiple regression analysis and related matters are also encompassed. Mathematicians, statisticians, and students taking related courses will find the book useful.

Table of Contents


  • Preface

    Acknowledgments

    1 Introduction

    2 The T-Test

    Summary

    Problems

    3 Two-Sample T-Test

    Summary

    Problems

    4 The K-Sample Comparison Of Means (One-Way Analysis Of Variance)

    Summary and Generalization

    Problems

    5 The Balanced Two-Way Factorial Design Without Interaction

    Summary

    Problems

    6 Estimation And More On Factorial Designs

    Summary

    Problems

    7 The Latin Square

    Problems

    8 Confidence Sets, Simultaneous Confidence Intervals, and Multiple Comparisons One-Dimensional Case

    Multidimensional Case

    Simultaneous Confidence Intervals Using

    Bonferroni's Inequality

    The S-Method of Simultaneous Confidence Intervals

    T-Type Simultaneous Confidence Intervals

    Summary

    Problems

    9 Orthogonal And Nonorthogonal Designs, Efficiency

    Summary

    Problems

    10 Multiple Regression Analysis And Related Matters

    Regression Analysis

    Multiple Regression

    Partial Correlation

    Problems

    Appendixes

    1 Review Of Linear Algebra And Vector Space Theory

    2 Tables Of Statistical Distributions

    Table 1 Critical Values for the t- and Normal Distributions

    Table 2 Critical Values for the F-Distribution

    Table 3 Critical Values for the Studentized Range from a Normal Distribution

    Index


Product details

  • No. of pages: 187
  • Language: English
  • Copyright: © Academic Press 1978
  • Published: January 1, 1978
  • Imprint: Academic Press
  • eBook ISBN: 9781483217864

About the Authors

Lloyd Fisher

John McDonald

Affiliations and Expertise

Arizona State University, Tempe, U.S.A.

About the Editors

Z. W. Birnbaum

E. Lukacs

Affiliations and Expertise

Bowling Green State University

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