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Summary
Summary
The second edition of this book has been written for the same audience as the first edition. It is designed to be a "first port of call" for people wishing to study efficiency and productivity analysis. The book provides an accessible introduction to the four principal methods involved: econometric estimation of average response models; index numbers; data envelopment analysis (DEA); and stochastic firontier analysis (SFA). For each method, we provide a detailed introduction to the basic concepts, give some simple numerical examples, discuss some of the more important extensions to the basic methods, and provide references for further reading. In addition, we provide a number of detailed empirical applications using real-world data. The book can be used as a textbook or as a reference text. As a textbook, it probably contains too much material to cover in a single semester, so most instructors will want to design a course around a subset of chapters. For example, Chapter 2 is devoted to a review of production economics and could probably be skipped in a course for graduate economics majors. However, it should prove useful to undergraduate students and those doing a major in another field, such as business management or health studies.
Table of Contents
List of Figures | p. xi |
List of Tables | p. xiii |
Preface | p. xv |
1 Introduction | p. 1 |
1.1 Introduction | p. 1 |
1.2 Some Informal Definitions | p. 2 |
1.3 Overview of Methods | p. 6 |
1.4 Outline of Chapters | p. 7 |
1.5 What is Your Economics Background? | p. 9 |
2 Review of Production Economics | p. 11 |
2.1 Introduction | p. 11 |
2.2 Production Functions | p. 12 |
2.3 Transformation Functions | p. 20 |
2.4 Cost Functions | p. 21 |
2.5 Revenue Functions | p. 31 |
2.6 Profit Functions | p. 32 |
2.7 Conclusions | p. 40 |
3 Productivity and Efficiency Measurement Concepts | p. 41 |
3.1 Introduction | p. 41 |
3.2 Set Theoretic Representation of a Production Technology | p. 42 |
3.3 Output and Input Distance Functions | p. 47 |
3.4 Efficiency Measurement using Distance, Cost and Revenue Functions | p. 51 |
3.5 Measuring Productivity and Productivity Change | p. 61 |
3.6 Conclusions | p. 81 |
4 Index Numbers and Productivity Measurement | p. 85 |
4.1 Introduction | p. 85 |
4.2 Conceptual Framework and Notation | p. 86 |
4.3 Formulae for Price Index Numbers | p. 88 |
4.4 Quantity Index Numbers | p. 90 |
4.5 Properties of Index Numbers: The Test Approach | p. 95 |
4.6 The Economic-Theoretic Approach | p. 98 |
4.7 A Simple Numerical Example | p. 113 |
4.8 Transitivity in Multilateral Comparisons | p. 116 |
4.9 TFP Change Measurement Using Index Numbers | p. 118 |
4.10 Empirical Application: Australian National Railways | p. 127 |
4.11 Conclusions | p. 131 |
5 Data and Measurement Issues | p. 133 |
5.1 Introduction | p. 133 |
5.2 Outputs | p. 135 |
5.3 Inputs | p. 141 |
5.4 Prices | p. 153 |
5.5 Comparisons over time | p. 154 |
5.6 Output aggregates for sectoral and economy-wide comparisons | p. 156 |
5.7 Cross-country comparisons of productivity | p. 157 |
5.8 Data editing and errors | p. 159 |
5.9 Conclusions | p. 160 |
6 Data Envelopment Analysis | p. 161 |
6.1 Introduction | p. 161 |
6.2 The Constant Returns to Scale DEA Model | p. 162 |
6.3 The Variable Returns to Scale Model and Scale Efficiencies | p. 172 |
6.4 Input and Output Orientations | p. 180 |
6.5 Conclusions | p. 181 |
7 Additional Topics on Data Envelopment Analysis | p. 183 |
7.1 Introduction | p. 183 |
7.2 Price Information and Allocative Efficiency | p. 183 |
7.3 Non-Discretionary Variables | p. 188 |
7.4 Adjusting for the Environment | p. 190 |
7.5 Input Congestion | p. 195 |
7.6 Treatment of Slacks | p. 198 |
7.7 Additional Methods | p. 199 |
7.8 Empirical Application: Australian Universities | p. 203 |
7.9 Conclusions | p. 206 |
8 Econometric Estimation of Production Technologies | p. 209 |
8.1 Introduction | p. 209 |
8.2 Production, Cost and Profit Functions | p. 210 |
8.3 Single Equation Estimation | p. 214 |
8.4 Imposing Equality Constraints | p. 220 |
8.5 Hypothesis Testing | p. 223 |
8.6 Systems Estimation | p. 225 |
8.7 Inequality Constraints | p. 227 |
8.8 The Bayesian Approach | p. 231 |
8.9 Simulation Methods | p. 234 |
8.10 Conclusion | p. 239 |
9 Stochastic Frontier Analysis | p. 241 |
9.1 Introduction | p. 241 |
9.2 The Stochastic Production Frontier | p. 242 |
9.3 Estimating the Parameters | p. 245 |
9.4 Predicting Technical Efficiency | p. 254 |
9.5 Hypothesis Testing | p. 258 |
9.6 Conclusions | p. 261 |
10 Additional Topics on Stochastic Frontier Analysis | p. 263 |
10.1 Introduction | p. 263 |
10.2 Distance Functions | p. 264 |
10.3 Cost Frontiers | p. 266 |
10.4 Decomposing Cost Efficiency | p. 269 |
10.5 Scale Efficiency | p. 272 |
10.6 Panel Data Models | p. 275 |
10.7 Accounting for the Production Environment | p. 281 |
10.8 The Bayesian Approach | p. 284 |
10.9 Conclusions | p. 288 |
11 The Calculation and Decomposition of Productivity Change Using Frontier Methods | p. 289 |
11.1 Introduction | p. 289 |
11.2 The Malmquist TFP Index and Panel Data | p. 291 |
11.3 Calculation using DEA Frontiers | p. 294 |
11.4 Calculation using SFA Frontiers | p. 300 |
11.5 An Empirical Application | p. 302 |
11.6 Conclusions | p. 310 |
12 Conclusions | p. 311 |
12.1 Summary of Methods | p. 311 |
12.2 Relative Merits of the Methods | p. 312 |
12.3 Some Final Points | p. 313 |
Appendix 1 Computer Software | p. 317 |
Appendix 2 Philippines Rice Data | p. 325 |
References | p. 327 |
Author Index | p. 341 |
Subject Index | p. 345 |