Introductory Econometrics

Höfundur: Jeffrey M. Wooldridge (Útgáfa: 8)
Introductory Econometrics

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Útgefandi
Cengage Learning EMEA
ISBN
9798214493534
Print ISBN
9798214050317
Format
Page Fidelity (PDF)
Útgáfa
8
Höfundar
Jeffrey M. Wooldridge
Tungumál
English
Útgefið
04/2025
Prent takmörkun á líftíma
100
Prent takmörkun
2
Afritunar takmörkun
2

Kaflar

  • Introductory Econometrics: A Modern Approach
  • Brief Contents
  • Contents
  • Preface
  • About the Author
  • Chapter 1: The Nature of Econometrics and Economic Data
  • 1-1: What Is Econometrics?
  • 1-2: Steps in Empirical Economic Analysis
  • 1-3: The Structure of Economic Data
  • 1-3a: Cross-Sectional Data
  • 1-3b: Time Series Data
  • 1-3c: Pooled (or Repeated) Cross Sections
  • 1-3d: Panel or Longitudinal Data
  • 1-3e: A Comment on Data Structures
  • 1-4: Causality, Ceteris Paribus, and Counterfactual Reasoning
  • Summary
  • Key Terms
  • Problems
  • Computer Exercises
  • Part 1: Regression Analysis with Cross-Sectional Data
  • Chapter 2: The Simple Regression Model
  • 2-1: Definition of the Simple Regression Model
  • 2-2: Deriving the Ordinary Least Squares Estimates
  • 2-2a: A Note on Terminology
  • 2-3: Properties of OLS on Any Sample of Data
  • 2-3a: Fitted Values and Residuals
  • 2-3b: Algebraic Properties of OLS Statistics
  • 2-3c: Goodness-of-Fit
  • 2-4: Units of Measurement and Functional Form
  • 2-4a The Effects of Changing Units of Measurement on OLS Statistics
  • 2-4b: Incorporating Nonlinearities in Simple Regression
  • 2-4c: The Meaning of “Linear” Regression
  • 2-5: Expected Values and Variances of the OLS Estimators
  • 2-5a: Unbiasedness of OLS
  • 2-5b: Variances of the OLS Estimators
  • 2-5c: Estimating the Error Variance
  • 2-6: Regression through the Origin and Regression on a Constant
  • 2-7: Regression on a Binary Explanatory Variable
  • 2-7a: Counterfactual (or Potential) Outcomes, Causality, and Policy Analysis
  • Summary
  • Key Terms
  • Problems
  • Computer Exercises
  • Chapter 3: Multiple Regression Analysis: Estimation
  • 3-1: Motivation for Multiple Regression
  • 3-1a: The Model with Two Independent Variables
  • 3-1b: The Model with k Independent Variables
  • 3-2: Mechanics and Interpretation of Ordinary Least Squares
  • 3-2a: Obtaining the OLS Estimates
  • 3-2b: Interpreting the OLS Regression Equation
  • 3-2c: On the Meaning of “Holding Other Factors Fixed” in Multiple Regression
  • 3-2d: Changing More Than One Independent Variable Simultaneously
  • 3-2e: OLS Fitted Values and Residuals
  • 3-2f: A “Partialling Out” Interpretation of Multiple Regression
  • 3-2g: Comparison of Simple and Multiple Regression Estimates
  • 3-2h: Goodness-of-Fit
  • 3-2i: Regression through the Origin
  • 3-3: The Expected Value of the OLS Estimators
  • 3-3a: Including Irrelevant Variables in a Regression Model
  • 3-3b: Omitted Variable Bias: The Simple Case
  • 3-3c: Omitted Variable Bias: More General Cases
  • 3-4: The Variance of the OLS Estimators
  • 3-4a: The Components of the OLS Variances: Multicollinearity
  • 3-4b: Variances in Misspecified Models
  • 3-4c: Estimating : Standard Errors of the OLS Estimators
  • 3-5: Efficiency of OLS: The Gauss-Markov Theorem
  • 3-6: Some Comments on the Language of Multiple Regression Analysis
  • 3-7: Several Scenarios for Applying Multiple Regression
  • 3-7a: Prediction
  • 3-7b: Efficient Markets
  • 3-7c: Measuring the Tradeoff between Two Variables
  • 3-7d: Testing for Ceteris Paribus Group Differences
  • 3-7e: Potential Outcomes@ Treatment Effects@ and Policy Analysis
  • 3-8: Including “Bad Controls” in Regression Analysis
  • Summary
  • Key Terms
  • Problems
  • Computer Exercises
  • Chapter 4: Multiple Regression Analysis: Inference
  • 4-1: Sampling Distributions of the OLS Estimators
  • 4-2: Testing Hypotheses about a Single Population Parameter: The t Test
  • 4-2a: Testing against One-Sided Alternatives
  • 4-2b: Two-Sided Alternatives
  • 4-2c: Testing Other Hypotheses about
  • 4-2d: Computing p-Values for t Tests
  • 4-2e: A Reminder on the Language of Classical Hypothesis Testing
  • 4-2f: Economic@ or Practical@ versus Statistical Significance
  • 4-2g: Should p-Values Be Abandoned?
  • 4-3: Confidence Intervals
  • 4-4: Testing Hypotheses about a Single Linear Combination of the Parameters
  • 4-5: Testing Multiple Linear Restrictions: The F Test
  • 4-5a: Testing Exclusion Restrictions
  • 4-5b: Relationship between F and t Statistics
  • 4-5c: The R-Squared Form of the F Statistic
  • 4-5d: Computing p-Values for F Tests
  • 4-5e: The F Statistic for Overall Significance of a Regression
  • 4-5f: Testing General Linear Restrictions
  • 4-6: Reporting Regression Results
  • 4-7: Revisiting Causal Effects and Policy Analysis
  • Summary
  • Key Terms
  • Problems
  • Computer Exercises
  • Chapter 5: Multiple Regression Analysis: OLS Asymptotics
  • 5-1: Consistency
  • 5-1a: Deriving the Inconsistency in OLS
  • 5-2: Asymptotic Normality and Large Sample Inference
  • 5-2a: Other Large Sample Tests: The Lagrange Multiplier Statistic
  • 5-3: Asymptotic Efficiency of OLS
  • 5-4: Testing Normality of the Error Term
  • Summary
  • Key Terms
  • Problems
  • Computer Exercises
  • Chapter 6: Multiple Regression Analysis: Further Issues
  • 6-1: Effects of Data Scaling on OLS Statistics
  • 6-1a Beta Coefficients
  • 6-2: More on Functional Form
  • 6-2a: More on Using Logarithmic Functional Forms
  • 6-2b: Models with Quadratics
  • 6-2c: Models with Interaction Terms
  • 6-2d: Computing Average Partial Effects
  • 6-3: More on Goodness-of-Fit and Selection of Regressors
  • 6-3a: Adjusted R-Squared
  • 6-3b: Using Adjusted R-Squared to Choose between Nonnested Models
  • 6-3c: Controlling for Too Many Factors in Regression Analysis
  • 6-3d: Adding Regressors to Reduce the Error Variance
  • 6-4: Prediction and Residual Analysis
  • 6-4a: Confidence Intervals for Predictions
  • 6-4b: Residual Analysis
  • 6-4c: Predicting y When log(y) Is the Dependent Variable
  • 6-4d: Predicting y When the Dependent Variable Is log(y)
  • Summary
  • Key Terms
  • Problems
  • Computer Exercises
  • Chapter 7: Multiple Regression Analysis with Qualitative Information
  • 7-1: Describing Qualitative Information
  • 7-2: A Single Dummy Independent Variable
  • 7-2a: Interpreting Coefficients on Dummy Explanatory Variables When the Dependent Variable Is log(y)
  • 7-3: Using Dummy Variables for Multiple Categories
  • 7-3a: Incorporating Ordinal Information by Using Dummy Variables
  • 7-4: Interactions Involving Dummy Variables
  • 7-4a: Interactions among Dummy Variables
  • 7-4b: Allowing for Different Slopes
  • 7-4c: Testing for Differences in Regression Functions across Groups
  • 7-5: A Binary Dependent Variable: The Linear Probability Model
  • 7-6: More on Policy Analysis and Program Evaluation
  • 7-6a: Program Evaluation and Unrestricted Regression Adjustment
  • 7-6b: Regression Adjustment under Randomized Assignment
  • 7-7: Interpreting Regression Results with Discrete Dependent Variables
  • Summary
  • Key Terms
  • Problems
  • Computer Exercises
  • Chapter 8: Heteroskedasticity
  • 8-1: Consequences of Heteroskedasticity for OLS
  • 8-2: Heteroskedasticity-Robust Inference after OLS Estimation
  • 8-2a: Computing Heteroskedasticity-Robust LM Tests
  • 8-3: Testing for Heteroskedasticity
  • 8-3a: The White Test for Heteroskedasticity
  • 8-4: Weighted Least Squares Estimation
  • 8-4a: The Heteroskedasticity Is Known Up to a Multiplicative Constant
  • 8-4b: The Heteroskedasticity Function Must Be Estimated: Feasible GLS
  • 8-4c: What If the Assumed Heteroskedasticity Function Is Wrong?
  • 8-4d: Prediction and Prediction Intervals with Heteroskedasticity
  • 8-5: The Linear Probability Model Revisited
  • Summary
  • Key Terms
  • Problems
  • Computer Exercises
  • Chapter 9: More on Specification and Data Issues
  • 9-1: Functional Form Misspecification
  • 9-1a: RESET as a Test for Functional Form Misspecification
  • 9-1b: Tests against Nonnested Alternatives
  • 9-2: Using Proxy Variables for Unobserved Explanatory Variables
  • 9-2a: Using Lagged Dependent Variables as Proxy Variables
  • 9-2b: A Different Slant on Multiple Regression
  • 9-2c: Potential Outcomes and Proxy Variables
  • 9-3: Models with Random Slopes
  • 9-4: Properties of OLS under Measurement Error
  • 9-4a: Measurement Error in the Dependent Variable
  • 9-4b: Measurement Error in an Explanatory Variable
  • 9-5: Missing Data@ Nonrandom Samples@ and Outlying Observations
  • 9-5a: Missing Data
  • 9-5b: Nonrandom Samples
  • 9-5c: Outliers and Influential Observations
  • 9-6: Least Absolute Deviations Estimation
  • Summary
  • Key Terms
  • Problems
  • Computer Exercises
  • Part 2: Regression Analysis with Time Series Data
  • Chapter 10: Basic Regression Analysis with Time Series Data
  • 10-1: The Nature of Time Series Data
  • 10-2: Examples of Time Series Regression Models
  • 10-2a: Static Models
  • 10-2b: Finite Distributed Lag Models
  • 10-2c: A Convention about the Time Index
  • 10-3: Finite Sample Properties of OLS under Classical Assumptions
  • 10-3a: Unbiasedness of OLS
  • 10-3b: The Variances of the OLS Estimators and the Gauss-Markov Theorem
  • 10-3c: Inference under the Classical Linear Model Assumptions
  • 10-4: Functional Form, Dummy Variables, and Index Numbers
  • 10-5: Trends and Seasonality
  • 10-5a: Characterizing Trending Time Series
  • 10-5b: Using Trending Variables in Regression Analysis
  • 10-5c: A Detrending Interpretation of Regressions with a Time Trend
  • 10-5d: Computing R-Squared When the Dependent Variable Is Trending
  • 10-5e: Seasonality
  • Summary
  • Key Terms
  • Problems
  • Computer Exercises
  • Chapter 11: Further Issues in Using OLS with Time Series Data
  • 11-1: Stationary and Weakly Dependent Time Series
  • 11-1a: Stationary and Nonstationary Time Series
  • 11-1b: Weakly Dependent Time Series
  • 11-2: Asymptotic Properties of OLS
  • 11-3: Using Highly Persistent Time Series in Regression Analysis
  • 11-3a: Highly Persistent Time Series
  • 11-3b: Transformations on Highly Persistent Time Series
  • 11-3c: Deciding Whether a Time Series Is I(1)
  • 11-4: Dynamically Complete Models and the Absence of Serial Correlation
  • 11-5: The Homoskedasticity Assumption for Time Series Models
  • Summary
  • Key Terms
  • Problems
  • Computer Exercises
  • Chapter 12: Serial Correlation and Heteroskedasticity in Time Series Regressions
  • 12-1: Properties of OLS with Serially Correlated Errors
  • 12-1a: Unbiasedness and Consistency
  • 12-1b: Efficiency and Inference
  • 12-1c: Goodness of Fit
  • 12-1d: Serial Correlation in the Presence of Lagged Dependent Variables
  • 12-2: Serial Correlation–Robust Inference after OLS
  • 12-3: Testing for Serial Correlation
  • 12-3a: A t Test for AR(1) Serial Correlation with Strictly Exogenous Regressors
  • 12-3b: The Durbin-Watson Test under Classical Assumptions
  • 12-3c: Testing for AR(1) Serial Correlation without Strictly Exogenous Regressors
  • 12-3d: Testing for Higher-Order Serial Correlation
  • 12-4: Correcting for Serial Correlation with Strictly Exogenous Regressors
  • 12-4a: Obtaining the Best Linear Unbiased Estimator in the AR(1) Model
  • 12-4b: Feasible GLS Estimation with AR(1) Errors
  • 12-4c: Comparing OLS and FGLS
  • 12-4d: Correcting for Higher-Order Serial Correlation
  • 12-4e: What if the Serial Correlation Model Is Wrong?
  • 12-5: Differencing and Serial Correlation
  • 12-6: Heteroskedasticity in Time Series Regressions
  • 12-6a: Heteroskedasticity-Robust Statistics
  • 12-6b: Testing for Heteroskedasticity
  • 12-6c: Autoregressive Conditional Heteroskedasticity
  • 12-6d: Heteroskedasticity and Serial Correlation in Regression Models
  • Summary
  • Key Terms
  • Problems
  • Computer Exercises
  • Part 3: Advanced Topics
  • Chapter 13: Pooling Cross Sections across Time. Simple Panel Data Methods
  • 13-1: Pooling Independent Cross Sections across Time
  • 13-1a: The Chow Test for Structural Change across Time
  • 13-2: Policy Analysis with Pooled Cross Sections
  • 13-2a: Adding an Additional Control Group
  • 13-2b: Adding Another Control Period
  • 13-2c: A General Framework for Policy Analysis with Pooled Cross Sections
  • 13-3: Two-Period Panel Data Analysis
  • 13-3a Organizing Panel Data
  • 13-4: Policy Analysis with Two-Period Panel Data
  • 13-5: Differencing with More Than Two Time Periods
  • 13-5a: Potential Pitfalls in First Differencing Panel Data
  • Summary
  • Key Terms
  • Problems
  • Computer Exercises
  • Chapter 14: Advanced Panel Data Methods
  • 14-1: Fixed Effects Estimation
  • 14-1a: The Dummy Variable Regression and Two-Way Fixed Effects
  • 14-1b: Fixed Effects or First Differencing?
  • 14-1c: Fixed Effects with Unbalanced Panels
  • 14-2: Random Effects Estimation
  • 14-2a: Random Effects or Pooled OLS?
  • 14-2b: Random Effects or Fixed Effects?
  • 14-2c: Computing Robust Standard Errors
  • 14-3: The Correlated Random Effects Approach
  • 14-3a: Unbalanced Panels
  • 14-4: General Policy Analysis with Panel Data
  • 14-4a: Advanced Considerations with Policy Analysis
  • 14-5: Applying Panel Data Methods to Other Data Structures
  • Summary
  • Key Terms
  • Problems
  • Computer Exercises
  • Chapter 15: Instrumental Variables Estimation and Two Stage Least Squares
  • 15-1: Motivation: Omitted Variables in a Simple Regression Model
  • 15-1a: Statistical Inference with the IV Estimator
  • 15-1b: Properties of IV with a Poor Instrumental Variable
  • 15-1c: Computing R-Squared after IV Estimation
  • 15-2: IV Estimation of the Multiple Regression Model
  • 15-2a: The IV Estimator as the Ratio of Two OLS Estimators
  • 15-3: Two Stage Least Squares
  • 15-3a: A Single Endogenous Explanatory Variable
  • 15-3b: Multicollinearity and 2SLS
  • 15-3c: Detecting Weak Instruments
  • 15-3d: Multiple Endogenous Explanatory Variables
  • 15-3e: Testing Multiple Hypotheses after 2SLS Estimation
  • 15-4: IV Solutions to Errors-in-Variables Problems
  • 15-5: Testing for Endogeneity and Testing Overidentifying Restrictions
  • 15-5a: Testing for Endogeneity
  • 15-5b: Testing Overidentification Restrictions
  • 15-6: 2SLS with Heteroskedasticity
  • 15-7: Applying 2SLS to Time Series Equations
  • 15-8: Applying 2SLS to Pooled Cross Sections and Panel Data
  • Summary
  • Key Terms
  • Problems
  • Computer Exercises
  • Chapter 16: Simultaneous Equations Models
  • 16-1: The Nature of Simultaneous Equations Models
  • 16-2: Simultaneity Bias in OLS
  • 16-3: Identifying and Estimating a Structural Equation
  • 16-3a: Identification in a Two-Equation System
  • 16-3b: Estimation by 2SLS
  • 16-4: Systems with More Than Two Equations
  • 16-4a: Identification in Systems with Three or More Equations
  • 16-4b: Estimation
  • 16-5: Simultaneous Equations Models with Time Series
  • 16-6: Simultaneous Equations Models with Panel Data
  • Summary
  • Key Terms
  • Problems
  • Computer Exercises
  • Chapter 17: Limited Dependent Variable Models and Sample Selection Corrections
  • 17-1: Logit and Probit Models for Binary Response
  • 17-1a: Specifying Logit and Probit Models
  • 17-1b: Maximum Likelihood Estimation of Logit and Probit Models
  • 17-1c: Testing Multiple Hypotheses
  • 17-1d: Interpreting the Logit and Probit Estimates
  • 17-1e: Computing APEs in More Complicated Settings
  • 17-2: Fractional Response Models
  • 17-3: An Exponential Mean Model and Poisson Regression
  • 17-4: The Tobit Model for Corner Solution Responses
  • 17-4a: Interpreting the Tobit Estimates
  • 17-4b: Specification Issues in Tobit Models
  • 17-5: Censored and Truncated Regression Models
  • 17-5a: Censored Regression Models
  • 17-5b: Truncated Regression Models
  • 17-6: Sample Selection Corrections
  • 17-6a: When Is OLS on the Selected Sample Consistent?
  • 17-6b: Incidental Truncation
  • Summary
  • Key Terms
  • Problems
  • Computer Exercises
  • Chapter 18: Advanced Time Series Topics
  • 18-1: Infinite Distributed Lag Models
  • 18-1a: The Geometric (or Koyck) Distributed Lag Model
  • 18-1b: Rational Distributed Lag Models
  • 18-2: Testing for Unit Roots
  • 18-3: Spurious Regression
  • 18-4: Cointegration and Error Correction Models
  • 18-4a: Cointegration
  • 18-4b: Error Correction Models
  • 18-5: Forecasting
  • 18-5a: Types of Regression Models Used for Forecasting
  • 18-5b: One-Step-Ahead Forecasting
  • 18-5c: Comparing One-Step-Ahead Forecasts
  • 18-5d: Multiple-Step-Ahead Forecasts
  • 18-5e: Forecasting Trending@ Seasonal@ and Integrated Processes
  • 18-6: Event Studies with Control Groups
  • Summary
  • Key Terms
  • Problems
  • Computer Exercises
  • Chapter 19: Advanced Methods for Causal Inference
  • 19-1: Potential Outcomes@ Parameters@ and Assumptions
  • 19-2: Regression Adjustment
  • 19-2a: Linear Regression Adjustment
  • 19-2b: Regression Adjustment with Nonlinear Models
  • 19-2c: Regression Adjustment with Insufficient Overlap
  • 19-2d: Regression Adjustment under Random Assignment
  • 19-3: Inverse Probability Weighting
  • 19-3a Using the Propensity Score to Study Overlap
  • 19-4: Combining IPW and RA
  • 19-5: Instrumental Variables and the Local Average Treatment Effect
  • 19-5a: Treatment Potential Outcomes and LATE
  • 19-5b: Estimating LATE with Covariates
  • 19-5c: Randomized Instrument with Covariates
  • 19-6: Regression Discontinuity Designs
  • 19-6a: Introduction and Motivation
  • 19-6b: The Sharp RD Design
  • 19-6c: The Fuzzy RD Design
  • 19-6d: Relaxing Unconfoundedness In The Frd Design
  • 19-6e: Additional Analyses
  • 19-7: Control Function Estimation of Treatment Effects
  • 19-7a: Treatment Effects in an Endogenous Switching Model
  • 19-7b: 2SLS Estimation of the Endogenous Switching Model
  • 19-7c: Control Function Estimation
  • 19-7d: Estimating the ATT
  • 19-7e: A Binary Instrument@ Revisited
  • Key Terms
  • Problems
  • Computer Exercises
  • Chapter 20: Carrying Out an Empirical Project
  • 20-1: Posing a Question
  • 20-2: Literature Review
  • 20-3: Data Collection
  • 20-3a: Deciding on the Appropriate Data Set
  • 20-3b: Entering and Storing Your Data
  • 20-3c: Inspecting@ Cleaning@ and Summarizing Your Data
  • 20-4: Econometric Analysis
  • 20-5: Writing an Empirical Paper
  • 20-5a: Introduction
  • 20-5b: Conceptual (or Theoretical) Framework
  • 20-5c: Econometric Models and Estimation Methods
  • 20-5d: The Data
  • 20-5e: Results
  • 20-5f: Conclusions
  • 20-5g: Style Hints
  • Summary
  • Key Terms
  • Sample Empirical Projects
  • List of Journals
  • Data Sources
  • Math Refresher A: Basic Mathematical Tools
  • A-1: The Summation Operator and Descriptive Statistics
  • A-2: Properties of Linear Functions
  • A-3: Proportions and Percentages
  • A-4: Some Special Functions and Their Properties
  • A-4a: Quadratic Functions
  • A-4b: The Natural Logarithm
  • A-4c: The Exponential Function
  • A-5: Differential Calculus
  • Summary
  • Key Terms
  • Problems
  • Math Refresher B: Fundamentals of Probability
  • B-1: Random Variables and Their Probability Distributions
  • B-1a: Discrete Random Variables
  • B-1b: Continuous Random Variables
  • B-2: Joint Distributions@ Conditional Distributions@ and Independence
  • B-2a: Joint Distributions and Independence
  • B-2b: Conditional Distributions
  • B-3: Features of Probability Distributions
  • B-3a: A Measure of Central Tendency: The Expected Value
  • B-3b: Properties of Expected Values
  • B-3c: Another Measure of Central Tendency: The Median
  • B-3d: Measures of Variability: Variance and Standard Deviation
  • B-3e: Variance
  • B-3f: Standard Deviation
  • B-3g: Standardizing a Random Variable
  • B-3h: Skewness and Kurtosis
  • B-4: Features of Joint and Conditional Distributions
  • B-4a: Measures of Association: Covariance and Correlation
  • B-4b: Covariance
  • B-4c: Correlation Coefficient
  • B-4d: Variance of Sums of Random Variables
  • B-4e: Conditional Expectation
  • B-4f: : Properties of Conditional Expectation
  • B-4g: Conditional Variance
  • B-5: The Normal and Related Distributions
  • B-5a: The Normal Distribution
  • B-5b: The Standard Normal Distribution
  • B-5c: Additional Properties of the Normal Distribution
  • B-5d: The Chi-Square Distribution
  • B-5e: The t Distribution
  • B-5f: The F Distribution
  • Summary
  • Key Terms
  • Problems
  • Math Refresher C: Fundamentals of Mathematical Statistics
  • C-1: Populations@ Parameters@ and Random Sampling
  • C-1a: Sampling
  • C-2: Finite Sample Properties of Estimators
  • C-2a: Estimators and Estimates
  • C-2b: Unbiasedness
  • C-2c: The Sampling Variance of Estimators
  • C-2d: Efficiency
  • C-3: Asymptotic or Large Sample Properties of Estimators
  • C-3a: Consistency
  • C-3b: Asymptotic Normality
  • C-4: General Approaches to Parameter Estimation
  • C-4a: Method of Moments
  • C-4b: Maximum Likelihood
  • C-4c: Least Squares
  • C-5: Interval Estimation and Confidence Intervals
  • C-5a: The Nature of Interval Estimation
  • C-5b: Confidence Intervals for the Mean from a Normally Distributed Population
  • C-5c: A Simple Rule of Thumb for a 95% Confidence Interval
  • C-5d: Asymptotic Confidence Intervals for Nonnormal Populations
  • C-6: Hypothesis Testing
  • C-6a: Fundamentals of Hypothesis Testing
  • C-6b: Testing Hypotheses about the Mean in a Normal Population
  • C-6c: Asymptotic Tests for Nonnormal Populations
  • C-6d: Computing and Using p-Values
  • C-6e: The Relationship between Confidence Intervals and Hypothesis Testing
  • C-6f: Practical versus Statistical Significance
  • C-7: Remarks on Notation
  • Summary
  • Key Terms
  • Problems
  • Advanced Treatment D: Summary of Matrix Algebra
  • D-1: Basic Definitions
  • D-2: Matrix Operations
  • D-2a: Matrix Addition
  • D-2b: Scalar Multiplication
  • D-2c: Matrix Multiplication
  • D-2d: Transpose
  • D-2e: Partitioned Matrix Multiplication
  • D-2f: Trace
  • D-2g: Inverse
  • D-3: Linear Independence and Rank of a Matrix
  • D-4: Quadratic Forms and Positive Definite Matrices
  • D-5: Idempotent Matrices
  • D-6: Differentiation of Linear and Quadratic Forms
  • D-7: Moments and Distributions of Random Vectors
  • D-7a: Expected Value
  • D-7b: Variance-Covariance Matrix
  • D-7c: Multivariate Normal Distribution
  • D-7d: Chi-Square Distribution
  • D-7e: t Distribution
  • D-7f: F Distribution
  • Summary
  • Key Terms
  • Problems
  • Advanced Treatment E: The Linear Regression Model in Matrix Form
  • E-1: The Model and Ordinary Least Squares Estimation
  • E-1a: The Frisch-Waugh Theorem
  • E-2: Exact Statistical Properties of OLS
  • E-3: Statistical Inference
  • E-4: Some Asymptotic Analysis
  • E-4a: Wald Statistics for Testing Multiple Hypotheses
  • Summary
  • Key Terms
  • Problems
  • Answers to Going Further Questions
  • Statistical Tables
  • References
  • Glossary
  • Index