Fisher L., McDonald J. Fixed Effects Analysis of Variance

New York: Academic Press, 1978. — 192 p.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.The T-TestProblems
Two-Sample T-TestProblems
The K-Sample Comparison Of Means (One-Way Analysis Of Variance)
Summary and Generalization
Problems
The Balanced Two-Way Factorial Design Without InteractionProblems
Estimation And More On Factorial DesignsProblems
The Latin Square
Problems
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 IntervalsProblems
Orthogonal And Nonorthogonal Designs, EfficiencyProblems
Multiple Regression Analysis And Related Matters
Regression Analysis
Multiple Regression
Partial Correlation
Problems
Appendixes
Review Of Linear Algebra And Vector Space Theory
Tables Of Statistical Distributions
Critical Values for the t- and Normal Distributions
Critical Values for the F-Distribution
Critical Values for the Studentized Range from a Normal Distribution