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Statistical Methods: The Geometric Approach

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概要 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.続きを見る
目次 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.
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登録日 2020.06.27
更新日 2020.06.28