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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"This is an interesting attempt to present analysis of variance and related topics in an informative way."
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1 of 1 people found the following review helpful:
5.0 out of 5 stars
A must read for intuitive understanding of statistical theory,
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This review is from: Statistical Methods: The Geometric Approach (Springer Texts in Statistics) (Hardcover)
This book should be considered as a must read for those who want to understand statistics beyond "magical formulas and the rituel of significance tests". Authors manage to provide very concise, clear (and of course visual) depiction of some fundamental statistical methods. I think this book is an easy bridge to be crossed in order to reach the realm of advanced statistical theory.
2 of 3 people found the following review helpful:
5.0 out of 5 stars
Statistical Insight Using Geometry,
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This review is from: Statistical Methods: The Geometric Approach (Springer Texts in Statistics) (Hardcover)
I am an educator of beginning college students. I have taught statistics for some 8 years and this book supplies the insight that allows the student to visually 'see' the connections between ANOVA, Regression, and ANCOVA. It does take some work to appreciate the approach, but is certainly worth it. As the authors state, it is an intermediate between the 'cookbook' routines and the advanced format using matrix algebra. I found I needed to review vector manipulation and some algebra of random variables before getting very far, but that is an acceptable preliminary to the consequent benefits.
2 of 3 people found the following review helpful:
5.0 out of 5 stars
very interesting book,
By A Customer
This review is from: Statistical Methods: The Geometric Approach (Springer Texts in Statistics) (Hardcover)
This book reviews some of the core concepts of statistical science, through the angle of geometrical properties. This book will be very interesting for graduate or undergraduate students who want to broaden their understanding. Also for non specialists, this book presents the subject in a very easy to understand manner. It really helped me tremendously with statistical concepts.
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Inside This Book
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First Sentence:
Why use geometry in statistics? Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
clover seed yield, squared projection lengths, equal replications case, drench program, resulting observation vector, nonorthogonal form, orthogonal polynomial components, pasture allowance, irrigation strips, soft turnips, appropriate orthogonal coordinate system, natural coordinate axes, factorial contrasts, globe treatments, randomized block model, subplot level, quartic components, carcase weight, overall mean vector, increasing seeding rate, vector vector vector vector, subplot error, simplified decomposition, error space, projection coefficients Key Phrases - Capitalized Phrases (CAPs): (learn more)
New Zealand, Formal Definition Picture, Questions About Two Populations, Paw Paw, Methven County, General Discussion, The Geometric Tool Kit, Golden Queen, Tool Kits, Treatment Variance, Average Variance, Calculate the Pythagorean, Corrected Fitted, Mean Green, Natural Fibre, Selected Minitab, The American Statistician, Treatment Block New!
Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Why use geometry in statistics? Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
clover seed yield, squared projection lengths, equal replications case, drench program, resulting observation vector, nonorthogonal form, orthogonal polynomial components, pasture allowance, irrigation strips, soft turnips, appropriate orthogonal coordinate system, natural coordinate axes, factorial contrasts, globe treatments, randomized block model, subplot level, quartic components, carcase weight, overall mean vector, increasing seeding rate, vector vector vector vector, subplot error, simplified decomposition, error space, projection coefficients Key Phrases - Capitalized Phrases (CAPs): (learn more)
New Zealand, Formal Definition Picture, Questions About Two Populations, Paw Paw, Methven County, General Discussion, The Geometric Tool Kit, Golden Queen, Tool Kits, Treatment Variance, Average Variance, Calculate the Pythagorean, Corrected Fitted, Mean Green, Natural Fibre, Selected Minitab, The American Statistician, Treatment Block New!
Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
46
books
cite this book:
See all 46 books citing this book
- Probability and Statistical Inference: Volume 1: Probability (Springer Texts in Statistics) by J.G. Kalbfleisch in Back Matter (1), and Back Matter (2)
- An Introduction to Bayesian Analysis: Theory and Methods (Springer Texts in Statistics) by Jayanta K. Ghosh in Back Matter
- Modeling Longitudinal Data (Springer Texts in Statistics) by Robert E. Weiss in Back Matter
- Monte Carlo Statistical Methods (Springer Texts in Statistics) by Christian Robert in Back Matter
- Statistical Analysis of Financial Data in S-PLUS by Rene A. Carmona in Back Matter
See all 46 books citing this book
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