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Understanding Regression Analysis Michael Patrick Allen

Understanding Regression Analysis By Michael Patrick Allen

Understanding Regression Analysis by Michael Patrick Allen


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Summary

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.

Understanding Regression Analysis Summary

Understanding Regression Analysis by Michael Patrick Allen

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.

Understanding Regression Analysis 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)

Table of Contents

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.

Additional information

NLS9780306484339
9780306484339
0306484331
Understanding Regression Analysis by Michael Patrick Allen
New
Paperback
Springer Science+Business Media
2004-05-31
216
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
This is a new book - be the first to read this copy. With untouched pages and a perfect binding, your brand new copy is ready to be opened for the first time

Customer Reviews - Understanding Regression Analysis