Estimation of Technical Efficiency of a Normal Exponential Stochastic Frontier Production Model - An Application in Measuring Technical Efficiency of Schools in Coimbatore and Tirupur districts

摘要

The present study focuses on the estimation of technical efficiency of a normal exponential stochastic frontier production and the application of it in the estimation of technical efficiency of schools of three different sectors namely public, private and aided schools in Coimbatore and Tirupur districts. The analysis was done based on the results from a survey report on Mathematics subject at their X and XII standard levels. The Translog Normal Exponential Stochastic Frontier Production Model depicted a maximum technical efficiency score of 99.23% and minimum technical efficiency score of 87.13% at their XII standard level and a maximum technical efficiency of 99.45% and a minimum of 87.39% at their X standard level. The Cobb-Douglas Normal Exponential Stochastic Frontier Production Model gave a maximum Technical Efficiency score of 99.10% and minimum technical efficiency score of 82.19% and a maximum technical efficiency score of 99.09% and a minimum technical efficiency score of 82.39% at their X standard level. The correlation coefficient value is observed as r=0.584, 0.579 at their X and XII standard levels respectively while analyzing using Translog Normal Exponential Stochastic Frontier Production Model and r= 0.786, 0.793 at their X and XII standard levels respectively while analyzing using Cobb-Douglas Normal Exponential Stochastic Frontier Production Model. The Chi-Square values were obtained as 1.3632 and 1.4592 at their X and XII standard levels respectively in case of efficiency estimation using Translog Normal Exponential Stochastic Frontier Production Model and the Chi-square values were observed as 1.1171 and 1.9896 at their X and XII standard levels in case of efficiency estimation using Cobb-Douglas Normal Exponential Stochastic Frontier Production Model.