文档介绍：Regression Analysis
for Social Sciences
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Regression Analysis
for Social Sciences
Alexander von Eye
Department of Psychology
Michigan State University
East Lansing, Michigan
Christof Schuster
Institute for Social Research
University of Michigan
Ann Arbor, Michigan
Academic Press
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9 1998 by ACADEMIC PRESS
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Library of Congress Card Catalog Number: 98-84465
International Standard Book Number: 0-12-724955-9
PRINTED IN THE UNITED STATES OF AMERICA
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Contents
Preface xi
1 INTRODUCTION 1
2 SIMPLE LINEAR REGRESSION 7
Linear Functions and Estimation .............. 7
Parameter Estimation .................... 12
Criteria for Parameter Estimation ......... 12
Least Squares Parameter Estimators ........ 17
The Goodness of Fit of the Regression Model ... 25
Interpreting Regression Parameters ............. 26
Interpreting the Intercept Parameter ........ 27
Interpreting the Slope Parameter .......... 27
Interpolation and Extrapolation ............... 28
Testing Regression Hypotheses ............... 29
Null Hypothesis: Slope Parameter Equals Zero . . 31
Data Example .................... 33
Null Hypothesis: Slope Parameter Constant .... 34
Null Hypothesis 2: Two Slope Parameters are E