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.

Preface Acknowledgments1 Introduction2 The T-Test Summary Problems 3 Two-Sample T-Test Summary Problems4 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 Problems6 Estimation And More On Factorial Designs Summary Problems7 The Latin Square Problems8 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 Problems10 Multiple Regression Analysis And Related Matters Regression Analysis Multiple Regression Partial Correlation Problems Appendixes1 Review Of Linear Algebra And Vector Space Theory2 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