This text approaches the analysis of variance (ANOVA) from an exploratory point of view while retaining customary least squares fitting methods. The authors go beyond the standard steps of the ANOVA table to emphasize both the individual observations and the separate parts that the analysis produces. The technical level is not advanced and therefore serves as an introduction to ANOVA. The material is self-contained and illustrated with occasional references to more advanced/specialized readings.
Concepts and Examples in Analysis of Variance (J. Tukey, et al.); Purposes of Analyzing Data that Come in a Form Inviting Us to Apply Tools from the Analysis of Variance (F. Mosteller & J. Tukey); Preliminary Examination of Data (F. Mosteller & D. Hoaglin); Types of Factors and Their Structural Layouts (J. Singer); Value-Splitting: Taking the Data Apart (C. Schmid); Value-Splitting Involving More Factors (K. Halvorsen); Mean Squares, F Tests, and Estimates of Variance (F. Mosteller, et al.); Graphical Display as an Aid to Analysis (J. Emerson); Components of Variance (C. Brown & F. Mosteller); Which Denominator?; (T. Blackwell, et al.); Assessing Changes (J. Tukey, et al.); Qualitative and Quantitative Confidence (J. Tukey & D. Hoaglin); Introduction to Transformation (J. Emerson); Appendix; Index.