Bogusław Guzik
ARTICLE

(Polish) PDF

ABSTRACT

The article concerns the problem of selecting inputs in DEA models. The author suggests the input significance condition for Data Envelopment Analysis models which is based on the response of rank indicators in SE-CCR model to reducing or extending the list of inputs. The author assumes that a given input is significant if this response is considerable and isn’t significant if the reaction is inconsiderable. Examples of the response characteristics are provided. Maximum of rank indicator differences is the main characteristic. The author discusses the problem of changes of rank indicators when extending (reducing) the list of inputs.

KEYWORDS

DEA, variable selection, input/output significance

REFERENCES

[1] Andersen P., Petersen N.C., [1993], A procedure for ranking efficient units in Data Envelopment Analysis, „Management Science”, 39 (10).

[2] Banker R.D., [1993], Maximum Likelihood, Consistency and Data Envelopment Analysis: A Statistical Foundation, „Management Science”, 39 (10).

[3] Banker R.D., Gilford J.L., [1988], A relative efficiency model for the evaluation of public health nurse productivity, Mellon University Mimeo, Cornegie.

[4] Charnes A., Cooper W.W., Rhodes E., [1978], Measuring the efficiency of decision making units, „European Journal of Operational Research”, 2.

[5] Czerwiński Z., [1976], Przyczynek do dyskusji nad problemem „dobrego” modelu ekonometrycznego, „Przegląd Statystyczny”, 4.

[6] Gospodarowicz M., [2000], Procedury analizy i oceny banków, „Materiały i Studia”, zeszyt 103, NBP, Warszawa.

[7] Guzik B., [1979], Propozycja kryterium zmodyfikowanego współczynnika determinacji dla doboru zmiennych objaśniających do modelu ekonometrycznego, „Przegląd Statystyczny”, 1-2.

[8] Hellwig Z., [1960], Problem optymalnego wyboru predykant, „Przegląd Statystyczny” 3.

[9] Jenkins L., Anderson M., [2003], A multivariate statistical approach to reducing the number of variables in data envelopment analysis, „European Journal of Operational Research”, 147 (1).

[10] Lewin A.Y., Morey R.C., Cook T.J., [1982], Evaluating the administrative efficiency of courts, „Omega” 10 (4).

[11] Norman M., Stoker B., [1991], Data Envelopment Analysis: The assessment of performance, John Wiley and Sons, Chichester.

[12] Pastor J.T., Ruiz J.L., Sirvent I., [2002], A statistical test for nested radial DEA models, „Operations Research”, 50 (4).

[13] Wagner J.M., Shimshak D.G., [2007], Stepwise selection of variables in data envelopment analysis: Procedures and managerial perspectives, „European Journal of Operational Research”, 180 (1).

Back to top
Copyright © 2019 Statistics Poland