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Statistical Methods : The Geometric Approach - David J. Saville

Statistical Methods

The Geometric Approach

Hardcover Published: 14th March 1997
ISBN: 9780387975177
Number Of Pages: 561

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This book is a novel exposition of the traditional workhorses of statistics: analysis of variance and regression. The key feature is that these tools are viewed in their natural mathematical setting, the geometry of finite dimensions. The Authors To introduce ourselves, Dave Saville is a practicing statistician working in agricultural research; Graham Wood is a university lecturer involved in the teaching of statistical methods. Each of us has worked for sixteen years in our current field. Features of the Book People like pictures. One picture can present a set of ideas at a glance, while a series of pictures, each building on the last, can unify a wealth of ideas. Such a series we present in this text by means of a systematic geometric approach to the presentation of the theory of basic statistical methods. This approach fills the void between the traditional extremes of the "cookbook" approach and the "matrix algebra" approach, providing an elementary but at the same time rigorous view of the subject. It combines the virtues of the traditional methods, while avoiding their vices.

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

Basic Ideas: Introduction: The Geometric Tool Kit. The Statistical Tool Kit. Tool Kits At Work
Introduction to Analysis of Variance
Single Population Questions
Questions About Two Populations
Questions About Several Populations
Orthogonal Contrasts: Class Comparisons.
Factorial Contrasts
Polynomial Contrasts
Pairwise Comparisons
Introducing Blocking: Randomized Block Design
Latin Square Design
Split Plot Design
Fundamentals of Regression: Simple Regression
Polynomial Regression
Analysis of Covariance
General Summary
Appendices
Unequal Replications. Two Populations
Unequal Replications. Several Populations
Alternative Factorial Notation
Regression Through the Origin.
Confidence Intervals
Statistical Tables
References
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780387975177
ISBN-10: 0387975179
Series: Graduate Texts in Mathematics
Audience: General
Format: Hardcover
Language: English
Number Of Pages: 561
Published: 14th March 1997
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 23.39 x 15.6  x 3.18
Weight (kg): 0.99
Edition Number: 3

Earn 363 Qantas Points
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