David J. Saville, Graham R. Wood

Statistical Methods: The Geometric Approach (eBook, PDF)

• Format: PDF

Produktbeschreibung

A novel exposition of the analysis of variance and regression. The key feature here is that these tools are viewed in their natural mathematical setting - the geometry of finite dimensions. This is because geometry clarifies the basic statistics and unifies the many aspects of analysing variance and regression.

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Produktdetails

• Verlag: Springer New York
• Seitenzahl: 561
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9781461209713
• Artikelnr.: 43993263

Inhaltsangabe

I Basic Ideas.- 1 Introduction.- 2 The Geometric Tool Kit.- 3 The Statistical Tool Kit.- 4 Tool Kits At Work.- II Introduction to Analysis of Variance.- 5 Single Population Questions.- 6 Questions About Two Populations.- 7 Questions About Several Populations.- III Orthogonal Contrasts.- 8 Class Comparisons.- 9 Factorial Contrasts.- 10 Polynomial Contrasts.- 11 Pairwise Comparisons.- IV Introducing Blocking.- 12 Randomized Block Design.- 13 Latin Square Design.- 14 Split Plot Design.- V Fundamentals of Regression.- 15 Simple Regression.- 16 Polynomial Regression.- 17 Analysis of Covariance.- 18 General Summary.- Appendices.- A Unequal Replications: Two Populations.- A.1 Illustrative Example.- A.2 General Case.- Exercises.- B Unequal Replications: Several Populations.- B.1 Class Comparisons.- B.2 Factorial Contrasts.- B.3 Other Cases.- B.4 Summary.- Exercises.- C Alternative Factorial Notation.- Solution to the Reader Exercise.- D Regression Through the Origin.- E Confidence Intervals.- E.1 General Theory.- T Statistical Tables.- References.

Rezensionen

"This is an interesting attempt to present analysis of variance and related topics in an informative way."
(Biometrics)