The Geometry of Multivariate Statistics

Nonfiction, Health & Well Being, Psychology, Research
Cover of the book The Geometry of Multivariate Statistics by Thomas D. Wickens, Taylor and Francis
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Thomas D. Wickens ISBN: 9781317780229
Publisher: Taylor and Francis Publication: February 25, 2014
Imprint: Psychology Press Language: English
Author: Thomas D. Wickens
ISBN: 9781317780229
Publisher: Taylor and Francis
Publication: February 25, 2014
Imprint: Psychology Press
Language: English

A traditional approach to developing multivariate statistical theory is algebraic. Sets of observations are represented by matrices, linear combinations are formed from these matrices by multiplying them by coefficient matrices, and useful statistics are found by imposing various criteria of optimization on these combinations. Matrix algebra is the vehicle for these calculations. A second approach is computational. Since many users find that they do not need to know the mathematical basis of the techniques as long as they have a way to transform data into results, the computation can be done by a package of computer programs that somebody else has written. An approach from this perspective emphasizes how the computer packages are used, and is usually coupled with rules that allow one to extract the most important numbers from the output and interpret them. Useful as both approaches are--particularly when combined--they can overlook an important aspect of multivariate analysis. To apply it correctly, one needs a way to conceptualize the multivariate relationships that exist among variables.

This book is designed to help the reader develop a way of thinking about multivariate statistics, as well as to understand in a broader and more intuitive sense what the procedures do and how their results are interpreted. Presenting important procedures of multivariate statistical theory geometrically, the author hopes that this emphasis on the geometry will give the reader a coherent picture into which all the multivariate techniques fit.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

A traditional approach to developing multivariate statistical theory is algebraic. Sets of observations are represented by matrices, linear combinations are formed from these matrices by multiplying them by coefficient matrices, and useful statistics are found by imposing various criteria of optimization on these combinations. Matrix algebra is the vehicle for these calculations. A second approach is computational. Since many users find that they do not need to know the mathematical basis of the techniques as long as they have a way to transform data into results, the computation can be done by a package of computer programs that somebody else has written. An approach from this perspective emphasizes how the computer packages are used, and is usually coupled with rules that allow one to extract the most important numbers from the output and interpret them. Useful as both approaches are--particularly when combined--they can overlook an important aspect of multivariate analysis. To apply it correctly, one needs a way to conceptualize the multivariate relationships that exist among variables.

This book is designed to help the reader develop a way of thinking about multivariate statistics, as well as to understand in a broader and more intuitive sense what the procedures do and how their results are interpreted. Presenting important procedures of multivariate statistical theory geometrically, the author hopes that this emphasis on the geometry will give the reader a coherent picture into which all the multivariate techniques fit.

More books from Taylor and Francis

Cover of the book Hate Crimes and Ethnoviolence by Thomas D. Wickens
Cover of the book Conducting Research in Human Geography by Thomas D. Wickens
Cover of the book The Accountability Gap in EU law by Thomas D. Wickens
Cover of the book Television Culture by Thomas D. Wickens
Cover of the book Philosophy and Theatre by Thomas D. Wickens
Cover of the book Evgeny Pashukanis by Thomas D. Wickens
Cover of the book What if it happens in my classroom? by Thomas D. Wickens
Cover of the book Culture, Politics and Climate Change by Thomas D. Wickens
Cover of the book Non-Western International Relations Theory by Thomas D. Wickens
Cover of the book Select Letters of Christopher Columbus with other Original Documents relating to this Four Voyages to the New World by Thomas D. Wickens
Cover of the book The Power of Connection by Thomas D. Wickens
Cover of the book A History of Private Bill Legislation by Thomas D. Wickens
Cover of the book Education Policy by Thomas D. Wickens
Cover of the book Warfare in Pre-British India - 1500BCE to 1740CE by Thomas D. Wickens
Cover of the book Music in Seventeenth-Century Naples by Thomas D. Wickens
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy