# SBM Metafrontier Approach. According to Battese and Rao , a metafrontier is defined as the boundary of a production possibility set of all input-output combinations, whereas group frontiers are conceptualized as the subboundaries of production possibility sets of groups of firms. A metafrontier always envelops the corresponding group frontiers.

metafrontier, which is assumed to be a smooth function that envelopes the speciﬁc male, female and jointly managed plots' stochastic frontiers (Battese and Rao, 2002). However, metafrontier estimation requires parameters obtained from initial stochastic frontier analysis. The meta-frontier of the pooled sorghum plots’ managers is given by

1251-1272. The metafrontier model 24 makes it possible to calculate comparable technical efficiencies for agricultural farms that operate under different technologies. The main aim of this study was to compare tomato productivity of com-mercial and smallholder tomato farmers in the Nkomazi area, Mpumalanga, using a metafrontier analysis. Analogous to Battese et al.

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National Bank of Belgium working Therefore, we apply three analytical frameworks: 1 a technical efficiency comparison over time, 2 a metafrontier approach among mergers and non-mergers and In samenwerking met Frontier Cooking gaat elke deelnemer aan de slag met zijn of haar eigen pan. Heb je zelf een Dutch Oven? Dan zijn de kosten van deze 14 dec. 2020 — Soil Conservation and Small-Scale Food Production in Highland Ethiopia A Stochastic Metafrontier Approach. 496. Risk Implications of Farm Therefore, we apply three analytical frameworks: 1 a technical efficiency comparison over time, 2 a metafrontier approach among mergers and non-mergers and av G Manevska-Tasevska · 2014 · Citerat av 4 — Acta Agriculturae Scand Section C 4, 159-172.

In Section we introduce the 2, Nguyen, Hong-Oanh (Owen), Nghiem, Son, & Chang, Young-Tae (2018) A regional perspective of port performance using metafrontier analysis: the case study of Vietnamese ports. Maritime Economics and Logistics, 20(1), pp.

## The metafrontier framework proposed by O'Donnell et al. enables the evaluation of relative efficiencies for decision‐making units (DMUs) operating under heterogeneous technologies.

The metafrontier is assumed to employ the same technology as the individual stochastic frontiers in different groups. In this manner, the upper boundary now faced by all hospitals is the metafrontier, instead of the individual group frontiers. This paper presents a number of useful decompositions of the metafrontier MPI, which can provide useful insights into changes that are due to efficiency, quality improvements and/or technological changes in the healthcare sector.

### Soil Conservation and Small Scale Food Production in Highland Ethiopia: A Stochastic Metafrontier Approach. Kapitel i bok. Författare. Haileselassie Medhin

A metafrontier slack-based efficiency measure is presented to measure environmental efficiency for various regions in China. The objective of the new approach is to investigate the change of environmental efficiency while incorporating group heterogeneities and all variable slack and environmental pollutants into environmental efficiency analysis. Analogous to Battese et al. (J Prod Anal 21:91–103, 2004 ), the metafrontier production function allows for calculating comparable TE measures, which can be decomposed into group specific TE measures and technology gap ratios. The metafrontier model 24 makes it possible to calculate comparable technical efficiencies for agricultural farms that operate under different technologies. The main aim of this study was to compare tomato productivity of com-mercial and smallholder tomato farmers in the Nkomazi area, Mpumalanga, using a metafrontier analysis.

The group innovative provinces have set a target for resource utilization of non-innovative provinces in order to catch-up with the corresponding groups, while the metafrontier innovative provinces provide targets for the technology levels of other provinces to improve their green development performance. This paper considers a stochastic metafrontier function to investigate the technical efficiencies of firms in different groups that may not have the same technology. A decomposition of output is presented involving the technology gap and technical efficiency ratios for firms in a group relative to the best practice in the industry.

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enables the evaluation of relative efficiencies for decision‐making units (DMUs) operating under heterogeneous technologies. The metatechnology ratio ( MTR ) constructed under the metafrontier framework helps estimate the gap between group frontiers and the metafrontier, with its score between 0 and 1. In other words, the metafrontier model is The use of the DEA methodology to construct the metafrontier considered as an envelope of all the possible group technologies. model is possible as long as we can identify separate frontiers for For example, if a particular output, y, can be produced using input different groups in the data set (O’Donnell et al., 2007). This paper uses directional distance functions to extend the non-parametric metafrontier approach to efficiency measurement proposed by O’Donnell et al.

A graph of the metafrontier function is presented in Figure 1.

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### stochastic metafrontier production function is considered to be an envelope of the stochastic frontiers of the different groups such that it is consistent with the specifications of a stochastic frontier model (Battese et al 2002). The stochastic metafrontier model also enables the estimation of technology gap ratios or

2421-2434. severe competitiveness issues of Spanish rms, (iv) we con rm that the metafrontier is for a large part determined by Belgian rms.