Parametric Decomposition of a Generalized Malmquist Productivity Index

This paper provides a parametric decomposition of a generalized Malmquist productivity index which takes into account scale economies. Unlike Balk (2001), the contribution of scale economies to productivity change is evaluated without recourse to scale efficiency measures, which are neither bounded for globally increasing, decreasing, or constant returns to scale technologies nor for ray-homogeneous technologies. An empirical application using panel data from Spanish savings banks is included. This application shows the advantages of the suggested method compared to Balk's approach. The results show an increase of total factor productivity which can be mainly attributed to technical progress and the positive effect of returns to scale.     

The Rise and Fall of Slacks: Comments on Quasi-Malmquist Productivity Indices

Journal of Productivity Analysis - The Malmquist productivity index has been based on ratios of radial Farrell efficiency scores. Calculating these relative to piecewise linear production frontiers...     

我国城市的生产率增长、效率改进与技术进步

基于Malmquist指数分析方法,本文测度了我国城市的生产率增长、效率改进与技术进步。研究发现,自20世纪90年代末期以来,我国城市生产率的增长率持续下降,并连续多年出现负值,导致生产率水平下降,而这主要是由技术水平下降所致,但城市效率水平同期却有了较为明显的改进。地级市的平均Malmquist指数及效率改进指数,要高于省会及副省级以上城市,在一定程度上出现了向后者的趋同;西部城市的生产率增长率与东部城市存在较大差异,生产率水平的差距有扩大的趋势。     

Measures in DEA with an Application to the Malmquist Index

This paper shows the importance of goal vectors G in measuring and dealing with DEA inefficiencies. It emphasizes the advantages of the family of additive relative to the traditional oriented DEA models and shifts the primary emphasis to measuring inefficiency rather than efficiency. This new (raw) inefficiency measure RIN incorporates both the traditional DEA efficiency and the DEA slacks and provides the background for a new approach to the Malmquist Index. The final section points out some deficiencies in existing computational procedures for selecting G and calls for continued research on the selection process, as well as showing a role for G in returns to scale studies.     

Combining DEA Window Analysis with the Malmquist Index Approach in a Study of the Canadian Banking Industry

The banking industry in Canada is essentially an oligopoly with five large participants controlling about 90% of the market. To evaluate the industry's performance over time, we need to deal with the problem of a small number of DMU's compared to the number of relevant inputs and outputs. To overcome this problem we use data envelopment analysis (DEA) window analysis, whereby efficiency scores for the 20 year period 1981–2000 are obtained. To measure productivity changes over time, Malmquist indices can be calculated from DEA scores. Using DEA window analysis scores, however, raise the question of how to define the same period frontier in a DEA window analysis. We show that for both the adjacent and the base period Malmquist index and for all suggested definitions of same period frontier, the standard decomposition into frontier shift and catching up effects gives inappropriate results when Malmquist indices are based on DEA window analysis scores.     

Malmquist productivity index for multi-output producers: An application to electricity generation plants

Different types of plants are used to generate electricity in the US: single-, multi-, and mixed-electricity plants. In this paper, we question the best type/design of plants for both renewable and non-renewable electricity. To do so, we suggest a new index that takes the form of a Malmquist productivity index. The specificity of our new index is that it offers the option to investigate the performances and the causes of the performance changes for each type of electricity separately; this is not possible when relying on more standard indexes. Moreover, our new index takes the links between the inputs and the outputs into account, and is nonparametric in nature. Using our index, we study the performances of more than 5000 plants for the period 2000–2012. Our findings reveal that single-electricity plants perform better for renewable electricity, while multi-electricity plants perform better for non-renewable electricity. This is coherent with the decreasing importance of multi-electricity plants in the US, and the increasing importance of single-electricity plants producing renewable electricity. Furthermore, our results do not suggest that combining renewable and non-renewable electricity generations within a plant improves the performance of the plants. Finally, we demonstrate that the reasons for the changes in performance are different for each type of electricity and plant.     

Efficiency changes in long-term care in OECD countries: A non-parametric Malmquist Index approach

Future demographic projections indicate that long-term care (LTC) demand will put significant pressures on the long-term sustainability of public finances. Efficiency gains could potentially compensate for increasing LTC expenditures. Nevertheless, among the factors that drive LTC expenditures, efficiency, or productivity discussions have received little attention. This paper provides the first analysis of the efficiency levels of LTC for a subset of OECD countries. In doing so, the study adopts a non-parametric approach and performs a Data Envelopment Analysis (DEA). The results of the DEA show that average efficiency scores have a slight tendency to increase. There was a 0.1% increase in productivity in the provision of LTC between 2009 and 2014, which mainly resulted from an increase in technological change. However, the slight increase in efficiency is insufficient to offset fiscal pressures led by the increasing number of LTC beneficiaries and amount spent on LTC. The second stage Tobit analysis results further indicate that the productivity of LTC provision does not differ across countries with different public LTC financing arrangements.     

Malmquist indices of productivity growth for Islamic and conventional banks in Malaysia

This paper studies the total factor productivity （TFP） of banks in Malaysia with the emphasis on comparing the relative productivities of Islamic and Conventional banks. The Malmquist index approach is used to decompose productivity growth into technical efficiency and technological change. The productivity growth is measured and decomposed into technical change and efficiency change. The efficiency change is further decomposed into pure efficiency change and scale efficiency. It is found that Islamic banks＇ productivity growth is limited by its lack of technological change compared to its conventional counterparts. Nonetheless, both types of banks are operating at the correct level in terms of scale or size.     

DEA of financial statements data: The U.S. computer industry

DEA (data envelopment analysis) is a technique for determining the efficiencyfrontier (the envelope) to the inputs and outputs of a collection of individual corporations or other productive units. DEA is here employed to estimate the intertemporal productive efficiency of U.S. computer manufactures, using financial data brought from earnings statements and balance sheets. The results indicate that a few corporations, including Apple Computer Inc., Compaq Computer Corp., and Seagate Technology were able to stay at the productivity efficiency frontier throughout the time period investigated. But not all successful corporations did; sometimes subefficiency (=disequilibrium) actually goes together with very rapid growth. A new Malmquist type productivity index is calculated for each corporation, measuring shifts of the estimated intertemporal efficiency frontier.     

Index Number Concepts,Measures and Decompositions of Productivity Growth

This paper explores the definitions and properties of total factor productivity growth (TFPG) indexes, focusing especially on the Paasche, Laspeyres, Fisher, Törnqvist, and implicit Törnqvist ones. These indexes can be evaluated from observable price and quantity data, and certain of these are shown to be measures of TFPG concepts and theoretical indexes that have been proposed in the literature. The mathematical relationships between these and quantity aggregates, financial measures, and price and quantity indexes are explored. Decompositions of the productivity growth indexes are also given. The paper concludes with a brief overview of some limitations on our analysis.     

Productivity Growth in the Western Hemisphere (1978–94): The Caribbean in Perspective

Productivity growth, technical efficiency change, and technological change were measured for a sample of 30 countries in the Western Hemisphere for the 1978–1994 period using the Malmquist index. The Caribbean compared unfavorably with North America and the Latin American regions. Evidence indicated some support for the convergence hypothesis. Regression analysis indicated that productivity growth in the Caribbean was positively associated with civil, economic, and political liberty.     

Productivity and efficiency of state-owned enterprises in China

The purpose of this paper is to evaluate the variations in SOE efficiency and productivity from the perspectives of macroeconomic fluctuations and systematic reform in China during 1986–2003. We use Data Envelopment Analysis to measure SOE efficiency. Subsequently, we use the Malmquist Index of Productivity change to measure productivity growth. The empirical results show that SOE efficiency and productivity exhibited obvious improvements during periods of strong systematic reform and a prosperous economy. The systematic reform after 1998 had a clear-cut impact on SOE performance.

Malmquist Indexes Using a Geometric Distance Function (GDF). Application to a Sample of Portuguese Bank Branches

Traditional approaches to calculate total factor productivity (TFP) change through Malmquist indexes rely on distance functions. In this paper we show that the use of distance functions as a means to calculate TFP change may introduce some bias in the analysis, and therefore we propose a procedure that calculates TFP change through observed values only. Our total TFP change is then decomposed into efficiency change, technological change, and a residual effect. This decomposition makes use of a non-oriented measure in order to avoid problems associated with the traditional use of radial oriented measures, especially when variable returns to scale technologies are to be compared. The proposed approach is applied in this paper to a sample of Portuguese bank branches.     

Estimating Radial Measures of Productivity Growth: Frontier vs Non-Frontier Approaches

In this paper, we propose an alternative econometric framework for estimating and decomposing productivity change that does not require a distribution for inefficiency or the uncorrelatedness between inefficiency and the regressors. We develop our methodology for the input-oriented radial measure of productivity change and establish that this equals the negative of the time change in the log cost function. Our econometric framework is based on a fixed-effects, multiple-output cost frontier, where we decompose productivity change into discrete shifts in the frontier and changes in firm efficiency levels relative to the frontier. We also show that the standard non-frontier specification is nested within our frontier model and thus can produce different estimates of productivity change. Using a panel of twelve US railroads from 1951 to 1975, our estimated cost frontier suggests average annual productivity growth of roughly 0.3 percent, with efficiency change rising then falling over the period. Specification tests reject the non-frontier model, which yields smaller gains in productivity.     

基于Malmquist指数的农业生产效率分析——以山东省为例

利用基于DEA的Malmquist生产率指数,对山东省17个地市的农业生产效率进行分析。结果表明2002～2005四年间各地市农业生产效率整体趋于改善;其中威海、日照和莱芜三市的农业生产效率处于最优水平。此外,技术变动对生产效率改善的贡献大于技术效率提升;而综合技术效率提升主要源于纯技术效率的改善。     

Localized Innovation and Productivity Growth in Asia: An Intertemporal DEA Approach

Recent contributions to growth theory stress the importance of localized innovation for the performance of more backward countries. In earlier papers, analyses by means of DEA techniques confirmed this intuition. In this paper, we extend this type of analysis by relaxing the macroeconomic viewpoint adopted until now. New databases on output, labor and capital input in the agricultural and manufacturing sectors are developed for 40 countries. Using intertemporal DEA, it is found that changes in the global production frontier are localized at high levels of capital intensity. This result is stronger in agriculture than in manufacturing. Further, a decomposition of labor productivity growth in eight Asian countries for the period 1975–1992 into the effects of capital intensification, learning and innovation is made. The results suggest that there is a particular development path in which increases in capital intensity appear to be a prerequisite to benefit from international technology spillovers.JEL Classification: O14, O30, O40, O47     

Productivity change in Brazilian water services: A benchmarking study of national and regional trends

Assessing the evolution of the performance of water supply and sanitation services is essential to monitor progress towards the universalization of water services, as specified by the Sustainable Development Goal 6 of Agenda 2030, adopted by United Nations member countries. Brazil, a developing country with a continental size and geographical diversity, will face significant challenges to achieve this goal. The main objective of this paper is to evaluate the evolution of productivity of water supply and sanitation services in Brazilian municipalities in the period 2012–2019. The analysis also explores whether water services’ performance is balanced across the country, with a specific analysis of performance at the macroregion level. From a methodological perspective, this research evaluates productivity change over time using a Malmquist Productivity Index estimated with a metafrontier, satisfying the circularity property. It also develops a pseudo Malmquist index that compares productivity levels across macro-regions. The results revealed a productivity loss of approximately 4% at the national level, with an unequal profile across the macro-regions. The Southeast municipalities stand out for exhibiting, on average, higher productivity levels than the South and Northeast municipalities.     

Two-Stage DEA: An Application to Major League Baseball

We show how to use DEA to model DMUs that produce in two stages, with output from the first stage becoming input to the second stage. Our model allows for any orientation or scale assumption. We apply the model to Major League Baseball, demonstrating its advantages over a standard DEA model. Our model detects inefficiencies that standard DEA models miss, and it can allow for resource consumption that the standard DEA model counts towards inefficiency. Additionally, our model distinguishes inefficiency in the first stage from that in the second stage, allowing managers to target inefficient stages of the production process.     

Sequential Decision-making in Interdependent Sectors with Multiobjective Inoperability Decision Trees: Application to Biofuel Subsidy Analysis

Decision-making involving large-scale systems often involves considerations for temporal changes, interdependencies in organizational structures, multiple competing objectives, and risk and uncertainty, among others. In this paper we develop a risk-based methodology, the Multiobjective Inoperability Decision Tree (MOIDT). It integrates several dimensions of decision-making processes associated with interconnected systems in terms of: (i) evaluation of sequential policies; (ii) analysis of interdependencies; (iii) treatment of multiple objectives and their tradeoffs; and (iv) characterization of uncertainties. To demonstrate the integration of these four components, we present a case study to analyze the impact of government policies towards mass-scale biofuel production. Using a multi-period decision framework, the analysis utilizes economic input–output data to model the probabilistic demand adjustments for sectors that will likely be affected by biofuel policies.