Understanding Regression Analysis

Name: Understanding Regression Analysis
Price: 59.25 USD
Availability: InStock
ISBN: 9780306456480

ISBN-10: 0306456486

ISBN-13: 9780306456480

Edition: 1997

Authors: Michael Patrick Allen

List price: $109.99

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Description:

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…

Book details

List price: $109.99
Copyright year: 1997
Publisher: Springer
Publication date: 8/31/1997
Binding: Hardcover
Pages: 216
Size: 6.14" wide x 9.21" long x 1.00" tall
Weight: 2.442
Language: English



The Origins and Uses of Regression Analysis


Basic Matrix Algebra: Manipulating Vectors


The Mean and Variance of a Variable


Regression Models and Linear Functions


Errors of Prediction and Least-Squares Estimation


Least-Squares Regression and Covariance


Covariance and Linear Independence


Separating Explained and Error Variance


Transforming Variables to Standard Form


Regression Analysis with Standardized Variables


Populations, Samples, and Sampling Distributions


Sampling Distributions and Test Statistics


Testing Hypotheses Using the t Test


The t Test for the Simple Regression Coefficient


More Matrix Algebra: Manipulating Matrices


The Multiple Regression Model


Normal equations and Partial Regression Coefficients


Partial Regression and Residualized Variables


The Coefficient of Determination in Multiple Regression


Standard Errors of Partial Regression Coefficients


The Incremental Contributions of Variables


Testing Simple Hypotheses Using the F Test


Testing Compound Hypotheses Using the F Test


Testing Hypotheses in Nested Regression Models


Testing for Interaction in Multiple Regression


Nonlinear Relationships and Variable Transformations


13 Additional Chapters


Appendices


Index