EXAMPLES
PREFACE
INTRODUCTION
PART THE BASICS REGRESSION ANALYSIS
1 INTRODUCTION TO RETRESSION MODEL
1.1 CURVE FITTING
1.2 DERIVATION OF LEAST SQUARES
Appendix 1.1 The Use of Summation Operators
Appendix 1.2 Derivation of Least-Squares Parameter Estimates
2 Elementary Statistics:A Review
2.1 RANDOM VARIABLES
2.2 ESTIMATION
2.3 DESIRABLE PROPERTIES OF ESTIMATORS
2.4 PROBABILITY DISTRIBUTIONS
2.5 HYPOTHESIS TESTING AND CONFIDENCE INTERVALS
2.6 DESCRIPTIVE STATISTICS
Appendix 2.1 The Properties of the Expectations Operator
Appendix 2.2 Maximum-Likelihood Estimation
3 The Two-Variable Regression Model
3.1 THE MODEL
3.2 BEST LINEAR UNBIASED ESTIMATION
3.3 HYPOTHESIS TESTING AND CONFIDENCE INTERVALS
3.4 ANALYSIS OF VARIANCE AND CORRELATION
Appendix 3.1 Variance of the Least-Squares Slope Estimator
Appendix 3.2 Some Properties of the Least-Squares Residuals
4 The Multiple Regression Model
4.1 THE MODEL
4.2 REGRESSION STATISTICS
4.3 F TESTS,R2,AND CORRECTED R2
4.4 MULTICOLLINEARITY
4.5 STANDARDIZED COEFFICIENTS AND ELASTICITIES
4.6 PARTIAL CORRELATION AND STEPWISE REGRESSION
Appendix 4.1 Least-Squares Parameter Estimation
Appendix 4.2 Regression Coefficients
Appendix 4.3 The Multiple Regression Model in Matrix Form
PART 2 SINGLE-EQUATION REGRESSION MODELS
5 Using the Multiple Regression Model
5.1 THE GENERAL LINEAR MODEL
5.2 USE OF DUMMY VARIABLES
5.3 THE USE OF t AND F TESTS FOR HYPOTHESES INVOLVING MORE THAN ONE PARAMETER
5.4 PIECEWISE LINEAR REGRESSION
5.5 THE MULTIPLE REGRESSION MODEL WITH STOCHASTIC EXPLANATORY VARIABLES
Appendix 5.1 Tests lnvolving Dummy-Variable Coefficients
6 Serial Correlation and Heteroscedasticity
6.1 HETEROSCEDASTICITY
6.2 SERIAL CORRELATION
Appendix 6.1 Generalized Least-Squares Estimation
7 lnstrumental Variables and Model Specification
7.1 CORRELATION BETWEEN AN INDEPENDENT VARIABLE AND THE ERROR TERM
7.2 ERRORS IN VARIABLES
7.3 SPECIFICATION ERROR
7.4 REGRESSION DIAGNOSTICS
7.5 SPECIFICATION TESTS
Appendix 7.1 lnstrumental-Variables Estimation in Matrix From
8 Forecasting with a Single-Equation Regression Model
9 Single-Equation Estimation:Advanced Topics
10 Nonlinear and Maximum-Likelihood Estimation
11 Models of Qualitative Choice
PART 3 MULTI-EQUATION MODELS
12 Simultaneous-Equation Estimation
13 lntroduction to Simulation Models
14 Dynamic Behavior of Simulation Models
PART 4 TIME-SERIES MODELS
15 Smoothing and Extrapolation of Time Series
16 Properties of Stochastic Time Series
17 Linear Time-Series Models
18 Estimating and Forecasting with Time-Series Models
19 Applications of Time-Series Models
STATISTICAL TABLES
SOLUTIONS TO SELECTED PROBLEMS
INDEXES
Author lndex
Subject lndex