Showing papers on "Data envelopment analysis published in 1982"
TL;DR: This analysis was applied to 167 elementary schools in the Houston Independent School District and 78 schools were found to be inefficiently utilizing their resources as compared to the 89 efficient schools.
Abstract: A school may be viewed as an enterprise in which the professional staff provide the operating conditions for converting quantifiable resources or inputs into pupil learning outputs. The resources are determined by budgets, teacher assignments, and student assignments while learning is determined by various outputs scored according to standardized tests such as the Iowa Test of Basic Skills. Following the work of Charnes, Cooper, and Rhodes Charnes, A., W. W. Cooper, E. Rhodes. 1981. Evaluating program and managerial efficiency: an application of data envelopment analysis to program follow through. Management Sci.27 6 668-697., we use a ratio definition of efficiency that takes account of all outputs and inputs without requiring a priori specification of weights. Instead a series of mathematical programs are applied to determine "virtual multipliers" from actual data. The multipliers produce values that can be regarded as the "most favorable weights" for each school being evaluated. If the resulting optimum virtual multipliers for a given school yield an efficiency ratio of one, then that school is said to be efficient. If the ratio is less than one then that school is said to be inefficient relative to the other schools in the analysis. The ratio is also accorded operational significance-it is not merely an index number-so that the resulting values and the associated virtual multipliers make it possible to locate where improvements may be made along with their relative magnitudes.
This analysis was applied to 167 elementary schools in the Houston Independent School District. Of these schools, 78 were found to be inefficiently utilizing their resources as compared to the 89 efficient schools. Based on this pilot study, an Educational Productivity Council has been formed at the University of Texas at Austin to provide an annual analysis for all of its member schools. At present 285 Texas schools in 22 districts are scheduled for participation in the annual analysis as described in this investigation.
294 citations
TL;DR: In this article, the authors develop theory and algorithms for a multiplicative data envelope analysis (DEA) model employing virtual outputs and inputs as does the CCR ratio method for efficiency analysis.
Abstract: This paper develops theory and algorithms for a “multiplicative” Data Envelopment Analysis (DEA) model employing virtual outputs and inputs as does the CCR ratio method for efficiency analysis. The frontier production function results here are of piecewise log-linear rather than piecewise linear form.
254 citations
01 Nov 1982
TL;DR: Data Envelopment Analysis (DEA) as mentioned in this paper is a new methodology based on mathematical programming models that provides an approach to evaluation of the relative efficiency of organizations, especially not-for-profit organizations which have multiple outputs and inputs.
Abstract: : Data Envelopment Analysis (DEA), a new methodology based on mathematical programming models, provides an approach to evaluation of the relative efficiency of organizations, especially not-for-profit organizations which have multiple outputs and inputs. This paper uses an artificial data base to evaluate DEA relative to other alternatives such as ratio and regression analyses. The results of this study generally favor DEA not only for identifying inefficiencies but also for locating their sources and estmating their amounts in particular DMUs (Decision Making Units). Statistical regressions performed very poorly, per se, as well as by comparison. Reasons for the poor performance of these customary statistical regression approaches are indicated along with possible ways of improving this performance.
3 citations