The Analysis of Variance

ISBN-13: 9780471345053 / Angielski / Miękka / 1999 / 477 str.

Henry Scheffe;Scheffe

Opis

Originally published in 1959, this classic volume has had a major impact on generations of statisticians. Newly issued in the Wiley Classics Series, the book examines the basic theory of analysis of variance by considering several different mathematical models. Part I looks at the theory of fixed-effects models with independent observations of equal variance, while Part II begins to explore the analysis of variance in the case of other models.

Spis treści

THE ANALYSIS OF VARIANCE IN THE CASE OF MODELS WITH FIXED EFFECTS AND INDEPENDENT OBSERVATIONS OF EQUAL VARIANCE.

Point Estimation.

Construction of Confidence Ellipsoids and Tests in the General Case Under Normal Theory.

The One–Way Layout: Multiple Comparison.

The Complete Two–, Three–, and Higher–Way Layouts: Partitioning a Sum of Squares.

Some Incomplete Layouts: Latin Squares, Incomplete Blocks, and Nested Designs.

The Analysis of Covariance.

THE ANALYSIS OF VARIANCE IN THE CASE OF OTHER MODELS.

Random–Effects Models.

Mixed Models.

Randomization Models.

The Effects of Departures from the Underlying Assumptions.

Appendices.

F–Tables.

Studentized Range Tables.

Pearson and Hartley Charts for the Power of the F–Test.

Fox Charts for the Power of the F–Test.

Indexes.