Linear Models in Matrix Form

A Hands-On Approach for the Behavioral Sciences

Authors: Brown, Jonathon D.

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  • ​​​​Comprehensively covers use of linear models in matrix form
  • Utilizes R and open source spreadsheets as standard tools for algebraic calculations
  • Many examples and full-color screenshots data files to help readers work through the exercises
  • East chapter contains useful summary and R code
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eBook 44,02 €
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  • ISBN 978-3-319-11734-8
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Hardcover 69,99 €
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  • ISBN 978-3-319-11733-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover 54,99 €
price for India (gross)
  • ISBN 978-3-319-34569-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

This textbook is an approachable introduction to statistical analysis using matrix algebra. Prior knowledge of matrix algebra is not necessary. Advanced topics are easy to follow through analyses that were performed on an open-source spreadsheet using a few built-in functions. These topics include ordinary linear regression, as well as maximum likelihood estimation, matrix decompositions, nonparametric smoothers and penalized cubic splines. Each data set (1) contains a limited number of observations to encourage readers to do the calculations themselves, and (2) tells a coherent story based on statistical significance and confidence intervals. In this way, students will learn how the numbers were generated and how they can be used to make cogent arguments about everyday matters. This textbook is designed for use in upper level undergraduate courses or first year graduate courses.

The first chapter introduces students to linear equations, then covers matrix algebra, focusing on three essential operations: sum of squares, the determinant, and the inverse. These operations are explained in everyday language, and their calculations are demonstrated using concrete examples. The remaining chapters build on these operations, progressing from simple linear regression to mediational models with bootstrapped standard errors.

About the authors

Jonathon D. Brown is a social psychologist at the University of Washington. Since receiving his Ph.D. from UCLA in 1986, he has written three books, authored numerous journal articles and chapters, received a Presidential Young Investigator Award from the National Science Foundation, and been recognized as one of social psychology's most frequently-cited authors.

Reviews

“This book appears to be a very solid work that contains a lot of useful material in one place in a manner. It is written in a manner inviting to intermediate readers who want to deepen their understanding of a key statistical technique. … I recommend it to the intermediate student or colleague who feel a need to boost up their understanding of the linear model.” (Jay Verkuilen, Psychometrika, Vol. 83, 2018)

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Table of contents (15 chapters)

Table of contents (15 chapters)

Buy this book

eBook 44,02 €
price for India (gross)
  • ISBN 978-3-319-11734-8
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 69,99 €
price for India (gross)
  • ISBN 978-3-319-11733-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover 54,99 €
price for India (gross)
  • ISBN 978-3-319-34569-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Linear Models in Matrix Form
Book Subtitle
A Hands-On Approach for the Behavioral Sciences
Authors
Copyright
2014
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-11734-8
DOI
10.1007/978-3-319-11734-8
Hardcover ISBN
978-3-319-11733-1
Softcover ISBN
978-3-319-34569-7
Edition Number
1
Number of Pages
XIX, 536
Number of Illustrations
49 b/w illustrations, 28 illustrations in colour
Topics