Skip to main content
SpringerLink
Log in
Book cover

Understanding Regression Analysis

  • Book
  • © 1997

Overview

Authors:
  1. Michael Patrick Allen

    1. Washington State University, Pullman

    View author publications

    You can also search for this author in PubMed   Google Scholar

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (39 chapters)

  1. Front Matter

    Pages i-x
    Download chapter PDF

  2. The origins and uses of regression analysis

    Pages 1-5

  3. Basic matrix algebra: Manipulating vectors

    Pages 6-10

  4. The mean and variance of a variable

    Pages 11-15

  5. Regression models and linear functions

    Pages 16-20

  6. Errors of prediction and least-squares estimation

    Pages 21-25

  7. Least-squares regression and covariance

    Pages 26-30

  8. Covariance and linear independence

    Pages 31-35

  9. Separating explained and error variance

    Pages 36-40

  10. Transforming variables to standard form

    Pages 41-45

  11. Regression analysis with standardized variables

    Pages 46-50

  12. Populations, samples, and sampling distributions

    Pages 51-55

  13. Sampling distributions and test statistics

    Pages 56-60

  14. Testing hypotheses using the t test

    Pages 61-65

  15. The t test for the simple regression coefficient

    Pages 66-70

  16. More matrix algebra: Manipulating matrices

    Pages 71-75

  17. The multiple regression model

    Pages 76-80

  18. Normal equations and partial regression coefficients

    Pages 81-85

  19. Partial regression and residualized variables

    Pages 86-90

  20. The coefficient of determination in multiple regression

    Pages 91-95
Back to top

Keywords

About this book

By assuming it is possible to understand regression analysis without fully comprehending all its underlying proofs and theories, this introduction to the widely used statistical technique is accessible to readers who may have only a rudimentary knowledge of mathematics. Chapters discuss:

-descriptive statistics using vector notation and the components of a simple regression model;
-the logic of sampling distributions and simple hypothesis testing;
-the basic operations of matrix algebra and the properties of the multiple regression model; -testing compound hypotheses and the application of the regression model to the analyses of variance and covariance, and
-structural equation models and influence statistics.

Reviews

"Allen's book will, no doubt, earn the praises of statistics instructors and students alike...Provides the reader a thorough, yet lucid, journey through a variety of statistical concepts...This gem should be made a part of every prospective statistician's collection. Undergraduates through professional."
(Choice, March 1998)

Authors and Affiliations

  • Washington State University, Pullman

    Michael Patrick Allen

Bibliographic Information

  • Book Title: Understanding Regression Analysis

  • Authors: Michael Patrick Allen

  • DOI: https://doi.org/10.1007/b102242

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1997

  • Hardcover ISBN: 978-0-306-45648-0Published: 31 August 1997

  • Softcover ISBN: 978-0-306-48433-9Published: 31 May 2004

  • eBook ISBN: 978-0-585-25657-3Published: 23 November 2007

  • Edition Number: 1

  • Number of Pages: XII, 216

  • Topics: Social Sciences, general, Public Health

Publish with us

Policies and ethics

Back to top

Search

Navigation