Linear Models in Matrix Form

A Hands-On Approach for the Behavioral Sciences

Nonfiction, Social & Cultural Studies, Social Science, Statistics, Health & Well Being, Psychology, Testing & Measurement
Cover of the book Linear Models in Matrix Form by Jonathon D. Brown, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Jonathon D. Brown ISBN: 9783319117348
Publisher: Springer International Publishing Publication: January 21, 2015
Imprint: Springer Language: English
Author: Jonathon D. Brown
ISBN: 9783319117348
Publisher: Springer International Publishing
Publication: January 21, 2015
Imprint: Springer
Language: English

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.

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

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.

More books from Springer International Publishing

Cover of the book Global Security, Safety and Sustainability: The Security Challenges of the Connected World by Jonathon D. Brown
Cover of the book Formal Aspects of Component Software by Jonathon D. Brown
Cover of the book Cultural Territorial Systems by Jonathon D. Brown
Cover of the book The Electric Century by Jonathon D. Brown
Cover of the book Clues in the Diagnosis of Non-tumoral Testicular Pathology by Jonathon D. Brown
Cover of the book Rights of the Child by Jonathon D. Brown
Cover of the book Thermoacoustics by Jonathon D. Brown
Cover of the book Changing Global Perspectives on Horseshoe Crab Biology, Conservation and Management by Jonathon D. Brown
Cover of the book Resource Management for Heterogeneous Wireless Networks by Jonathon D. Brown
Cover of the book Smart Card Research and Advanced Applications by Jonathon D. Brown
Cover of the book Performance Evaluation and Benchmarking for the Era of Artificial Intelligence by Jonathon D. Brown
Cover of the book Investing into North African Solar Power by Jonathon D. Brown
Cover of the book Focal Therapy of Prostate Cancer by Jonathon D. Brown
Cover of the book Discrete Geometry for Computer Imagery by Jonathon D. Brown
Cover of the book Research and Development in Art, Design and Creativity by Jonathon D. Brown
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