Economic Efficiency and Frontier Techniques

Abstract. Most of the literature related to the measurement of economic efficiency has based its analysis either on parametric or on non‐parametric frontier methods. The choice of estimation method has been an issue of debate, with some researchers preferring the parametric and others the non‐parametric approach. The aim of this paper is to provide a critical and detailed review of both core frontier methods. In our opinion, no approach is strictly preferable to any other. Moreover, a careful consideration of their main advantages and disadvantages, of the data set utilized, and of the intrinsic characteristics of the framework under analysis will help us in the correct implementation of these techniques. Recent developments in frontier techniques and economic efficiency measurement such as Bayesian techniques, bootstrapping, duality theory and the analysis of sampling asymptotic properties are also considered in this paper.     

Technical inefficiency and productive decline in the U.S. interstate natural gas pipeline industry under the Natural Gas Policy Act

Firm-specific and temporal patterns of technical efficiency of the interstate natural gas transmission industry during the implementation of the Natural Gas Policy Act are estimated by two alternative methodologies. A new panel stochastic frontier systems estimator exploits the potential exogeneity of certain regressors from firm effects. This allows for heterogeneity in slopes, as well as in intercepts. Patterns of technical efficiency based on the structural stochastic model are compared with those based on deterministic programming methods, data envelopment analysis. Concordant findings based on these alternative methodologies suggest a perversive pattern of declining technical efficiency in the industry during the period of phased in well-head price deregulation.     

Models of Quality‐Adjusted Life Years when Health Varies Over Time: Survey and Analysis

Abstract.  Quality‐adjusted life year (QALY) models are widely used for economic evaluation in the health care sector. In the first part of the paper, we establish an overview of QALY models where health varies over time and provide a theoretical analysis of model identification and parameter estimation from time trade‐off (TTO) and standard gamble (SG) scores. We investigate deterministic and probabilistic models and consider five different families of discounting functions in all. The second part of the paper discusses four issues recurrently debated in the literature. This discussion includes questioning the SG method as the gold standard for estimation of the health state index, re‐examining the role of the constant‐proportional trade‐off condition, revisiting the problem of double discounting of QALYs, and suggesting that it is not a matter of choosing between TTO and SG procedures as the combination of these two can be used to disentangle risk aversion from discounting. We find that caution must be taken when drawing conclusions from models with chronic health states to situations where health varies over time. One notable difference is that in the former case, risk aversion may be indistinguishable from discounting.     

The Returns to Education: Macroeconomics

We offer an extensive summary and a critical discussion of the empirical literature on the impact of human capital on macro‐economic performance, with a particular focus on UK policy. We also highlight methodological issues and make recommendations for future research priorities.
Taking the studies as a whole, the evidence that human capital increases productivity is compelling, though still largely divided on whether the stock of education affects the long‐run level or growth rate of GDP. A one‐year increase in average education is found to raise the level of output per capita by between three and six percent according to augmented neo‐classical specifications, while leading to an over one percentage point faster growth according to estimates from the new‐growth theories. Still, over the short‐run planning horizon (four years) the empirical estimates of the change in GDP are of similar orders of magnitude in the two approaches. The impact of increases at different levels of education appear to depend on the level of a country's development, with tertiary education being the most important for growth in OECD countries. Education is found to yield additional indirect benefits to growth. More preliminary evidence seems to indicate that type, quality and efficiency of education matter for growth too.     

Cost‐ and Income‐based Measures of Human Capital

Human capital is increasingly believed to play an important role in the growth process, however, adequately measuring its stock remains controversial. In this paper three general approaches to measurement are identified; cost‐based, income‐based and educational stock‐based. This survey focuses on the first two approaches and provides a critical review of the theories and their applications to data from a range of countries. Particular emphasis is placed upon the work of Jorgenson and Fraumeni (1989, 1992) and some new results for New Zealand based upon their approach are also presented.     

What have We Learnt from the Convergence Debate?

This paper surveys the convergence literature. It begins by laying out different definitions of convergence and by showing the link between the convergence issue and the growth theory debate. The paper then follows the convergence research conducted along four different approaches, namely the cross‐section, panel, time‐series, and distribution approaches. The paper shows the association of these methodological approaches with various definitions of convergence and highlights the connections among the convergence results. It shows that, despite some impressions to the contrary, there is considerable agreement among the results. Although the convergence research might not have solved the growth debate entirely, it has helped both the neoclassical and the new growth theories to adapt and evolve. The research on convergence has established new stylized facts regarding cross‐country growth regularities. It has brought to fore the existence of large technological and institutional differences across countries and has given rise to new methodologies for quantifying and analyzing these differences. This is providing a new information base for analysis of technological and institutional diffusion and for further development of growth theory in general.     

Evaluating the introduction of a quasi-market in community care

It is often the case that only routinely collected, highly aggregate administrative data are available for the purposes of evaluating major public policy initiatives. Such data clearly fall short of the information advocated by statisticians and economists for the purposes of policy evaluation. This paper examines the extent to which methodologies developed in the productivity literature can nevertheless extract useful evaluative information from administrative data. A non-parametric Malmquist Index approach is used that seeks to decompose changes in efficiency into technical efficiency changes, scale effects and technological change. The study applies the methods to the system of “community care” introduced in 1993 for people affected by problems associated with ageing, mental illness, learning disability or physical disability. Non-parametric methods are used to estimate productivity changes amongst 39 English county councils over a four-year period from 1992 to 1995. The results suggest a steady annual increase in productivity of about 1.4% per annum over the period under investigation, but it is not possible to determine the extent to which this progress can be attributed to the introduction of community care. The paper nevertheless concludes that the methods deployed can exploit readily available datasets at low cost, and are a valuable form of exploratory data analysis, if interpreted with discretion.     

Non‐Mandatory Approaches to Environmental Protection

The approach to environmental protection has been evolving from a regulation‐driven, adversarial 'government‐push' approach to a more proactive approach involving voluntary and often 'business‐led' initiatives to self‐regulate their environmental performance. This has been accompanied by increasing provision of environmental information about firms and products to enlist market forces and communities in creating a demand for corporate environmental self‐regulation by signaling their preferences for environmentally friendly firms. This paper provides an overview of the non‐mandatory approaches being used for environmental protection and surveys the existing theoretical literature analyzing the economic efficiency of such approaches relative to mandatory approaches. It also discusses empirical findings on the factors motivating self‐regulation by firms and its implications for their economic and environmental performance. It examines the existing evidence on the extent to which information disclosure is effective in generating pressures from investors and communities on firms to improve their environmental performance.     

The Relationship Between Stock Market Returns and Technical Efficiency Innovations: Evidence from the US Airline Industry

This paper analyzes the association between two firm performance measures: stock market returns and relative technical efficiency. Using linear programming techniques (Data Envelopment Analysis and Free Disposal Hull), technical efficiencies are calculated for a panel of eleven US airlines observed quarterly from 1970–1990. A relationship, between efficiency news in a quarter and stock market performance in the following two months, is found. A risky arbitrage portfolio strategy, of buying firms with the most positive efficiency news and short-selling those with the worst news during this time frame, results in zero beta risk yet yields annual returns of 17% and 18% for the two methodologies.     

Farm heterogeneity and technical efficiency: Some results from Swedish dairy farms

This paper introduces farm-heterogeneity in measuring technical efficiency of Swedish dairy farms using farm-level data. In calculating technical efficiency which is allowed to vary over time and across farms, we control for farm-specific effects. This is possible only when panel data is available. Furthermore, we separate technical efficiency from technical change—the presence of which is indicated by a shift in the production function over time,ceteris paribus. We also calculate percentage change in technical efficiency to examine whether farm efficiencies have improved over time. Finally, a comparison of technical efficiency, elasticities of different inputs, and technical change is made across different years and panels. The data includes four panels of dairy farms observed during the period 1976–1988, excluding 1985.We thank two anonymous referees, Anders Klevmarken and Lennart Hjalmarsson for valuable comments. Financial support from SJFR, the Gothenburg Economic School Foundation, Jan Wallender and Tore Browaldh Research Foundations is gratefully acknowledged.     

Content analytic approach to measuring constructs in operations and supply chain management

This paper presents and illustrates the content analytic approach to measuring constructs in operations and supply chain management (OSCM). In this paper, a methodological review of OSCM empirical research in 2002-2007 is provided to highlight that OSCM empirical studies, unlike those in other business disciplines, have rarely used content analysis as a methodological tool. This paper then reviews the methodological strengths of content analysis, which lie primarily in its malleability, economy of data collection, repeatability, and unobtrusiveness. These strengths not only make content analysis a viable empirical method but also position it as a method that can be used in concert with other empirical methods in OSCM research, such as survey, case study, and secondary research methodologies. This paper also proposes a generic framework for a content analytic approach to measuring theoretical constructs, illustrates the application of the framework to a construct in the OSCM literature (buyer-supplier relationalism), and reports the satisfactory results of reliability and validity tests for the content analysis-based measure of buyer-supplier relationalism. In addition, this paper proposes and demonstrates that the use of convergence study in tandem with content analysis can substantially reduce the content analysis efforts needed in measuring the construct of interest, thus improving the overall efficiency of the process of content analysis.     

Productivity Growth, Efficiency and Outsourcing in Manufacturing and Service Industries

This paper is a survey of recent contributions to, and developments of, the relationship between outsourcing, efficiency and productivity growth in manufacturing and services. The objective is to provide a thorough and up–to–date survey that provides a significant discussion on data, as well as on the core methods of measuring efficiency and productivity. First, the readers are introduced to the measurement of partial and total factor productivity growth. Different parametric and non–parametric approaches to the productivity measurement in the context of static, dynamic and firm–specific modelling are discussed. Second, we survey the econometric approach to efficiency analysis. The issues of modelling, distributional assumptions and estimation methods are discussed assuming that cross–sectional or panel data are available. Third, the relationship between outsourcing and productivity growth in manufacturing and services is discussed. The correspondence between a number of hypotheses and empirical findings are examined. Examples of varieties of relevant empirical applications, their findings and implications are presented. Fourth, measurement of inputs and outputs in manufacturing and services are discussed. Finally, to promote useful research, a number of factors important to the analysis of outsourcing, efficiency and productivity growth in the service sector are summarised.     

Carbon Taxes and Carbon Emissions Trading

This paper surveys the literature on, and examples of current implementation of, carbon taxes and carbon emission permits. It sets out the theoretical basis for these instruments, with special reference to the revenue‐recycling and tax interaction effects. This theoretical work concludes that instruments which raise revenue which can be recycled so as to reduce pre‐existing distortionary taxes are significantly less costly than those which do not. The paper then reviews the sizable literature on the distributional effects of these instruments, especially with regard to industrial competitiveness and regressive effects on low‐income groups, evaluating attempts to mitigate these where they are perceived as unacceptable. The paper concludes that such efforts at mitigation, while possible, can substantially reduce the efficiency benefits of the instruments. The projected costs of carbon taxes depend on a wide range of assumptions. This is still a contested area, but the paper concludes that, on a range of plausible assumptions, these costs need not be high. Finally the paper notes that early evaluations of the environmental effectiveness of carbon taxes have been generally positive. This suggests that, if concern about anthropogenic climate change continues to increase, more countries will introduce carbon taxes and emission permits, with the latter increasingly auctioned.     

Government Subsidies

This paper addresses the problems of defining and measuring government subsidies, examines why and how government subsidies are used as a fiscal policy tool, discusses their general economic effects in terms of real welfare costs and distributional implications, appraises international empirical evidence on government subsidies, and offers options for their reform. Recent international trends in government subsidy expenditure are analyzed for the 16‐year period from 1975 to 1990, using general government subsidy data for 60 countries from the United Nations' System of National Accounts (SNA). The paper reviews major policy options for subsidy reform, focusing on ways to improve the cost‐effectiveness of subsidy programs.     

What is the environmental performance of firms overseas? An empirical investigation of the global gold mining industry

Using a large plant level data set, this paper carries out an econometric analysis of the environmental performance of multinational firms in the gold mining industry worldwide. The aim of the analysis is to determine if, by looking at the actual environmental performance of firms (as opposed to inferring such behavior from location decisions), we can shed any light on important questions in the literature on firm location decisions: Do pollution havens exist in the gold mining industry? Do foreign controlled gold mines perform environmentally worse or better than their domestic counterparts? We develop different ways of measuring environmental performance within the context of a Bayesian stochastic production frontier approach. In particular, we derive different ways of measuring technical and environmental efficiency. When we implement these methods in our empirical work, we find that results are robust across different models and ways of measuring efficiency. We find that gold mines exhibit a wide range of environmental efficiencies; some are clearly more efficient than others. However, and most importantly for our questions, we find that this variation in efficiencies cannot be systematically related to mine characteristics such as whether they are foreign or domestically controlled or whether they are located in developed versus developing countries.     

Technical efficiency with state-contingent production frontiers using maximum entropy estimators

Although the theory of state-contingent production is well-established, the empirical implementation of this approach is still in an infancy stage. The possibility of finding a large number of states of nature, few observations per state and models affected by collinearity have led some researchers to claim the urgent need to develop robust estimation techniques. In this paper, we investigate the performance of some maximum entropy estimators to assess technical efficiency with state-contingent production frontiers. The methodological discussion and the simulation study provided in the paper reveal some of the potential of these estimators. Small mean squared error loss and small differences between the true and the estimated mean of technical efficiency show that the maximum entropy can be a powerful tool in the estimation of state-contingent production frontiers.     

Nonlinearity, ComputationaL Complexity and Macroeconomic Modelling

In this paper we survey and appraise the main contributions to solving and stabilising non‐linear equation systems typically found in Economics. We are keen wherever possible to draw distinctions and limiting cases between different solution methods, define acceleration strategies and encourage the use of hybrid or switching algorithms. Both large‐scale traditional macroeconomic models as well as smaller non‐linear analytical models are considered.     

A new criterion for technical efficiency measures: non‐monotonicity across dimensions axioms

Based on non‐parametric deterministic production technologies radial and non‐radial measures of technical efficiency are evaluated using properties guaranteeing insensitivity to the dimensionality of technology. These new axioms are important in empirical research and may especially prevent manipulation of results when implementing these benchmark methodologies in private or public organizations. An empirical example illustrates to which extent a series of radial and non‐radial technical efficiency measures satisfies the proposed axioms. Copyright © 1999 John Wiley & Sons, Ltd.     

Beyond Publication Bias

Abstract.  This review considers several meta‐regression and graphical methods that can differentiate genuine empirical effect from publication bias. Publication selection exists when editors, reviewers, or researchers have a preference for statistically significant results. Because all areas of empirical research are susceptible to publication selection, any average or tally of significant/insignificant studies is likely to be biased and potentially misleading. Meta‐regression analysis can see through the murk of random sampling error and selected misspecification bias to identify the underlying statistical structures that characterize genuine empirical effect. Meta‐significance testing and precision‐effect testing (PET) are offered as a means to identify empirical effect beyond publication bias and are applied to four areas of empirical economics research – minimum wage effects, union‐productivity effects, price elasticities, and tests of the natural rate hypothesis.     

Testing for Linearity

The problem of testing for linearity and the number of regimes in the context of self‐exciting threshold autoregressive (SETAR) models is reviewed. We describe least‐squares methods of estimation and inference. The primary complication is that the testing problem is non‐standard, due to the presence of parameters which are only defined under the alternative, so the asymptotic distribution of the test statistics is non‐standard. Simulation methods to calculate asymptotic and bootstrap distributions are presented. As the sampling distributions are quite sensitive to conditional heteroskedasticity in the error, careful modeling of the conditional variance is necessary for accurate inference on the conditional mean. We illustrate these methods with two applications — annual sunspot means and monthly U.S. industrial production. We find that annual sunspots and monthly industrial production are SETAR(2) processes.