Measurement of relative efficiency of four S.D.A. Senior High Schools in Ghana using data envolopement analysis

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The purpose of this research is to utilize data envelopment analysis (DEA) to measure academic efficiency of four S.D.A Senior High Schools . DEA has been recognized as a tool that is used for evaluating the performance of profit and non-profit institutions. The proposed approach is deployed based on empirical data collected from the four schools. On an efficiency scale of 0-1.0, DEA analysis assesses the relative efficiency of each of the four S.D.A Senior High Schools relative to the rest of the schools in terms of academic performance. For inefficient schools, DEA analysis provides quantitative guidance on how to make them efficient. The 2012/13 academic year data from four S.D.A Senior High schools were used. Four input variables and five output variables were identified. The input variables were teacher to student ratio, trained to non trained teachers ratio, library facilities and contact hours per day. Output variables were estimated as: grades obtained.(8 passes, 7 passes, 6 passes, 5 passes and below) Three schools (Bekwai S.D.A Senior High School, Bantama S.D.A Senior High. School, Kenyase S.D.A Senior High School) formed the efficiency frontier and the fourth school (Tamale S.D.A Senior High School) was found inefficient for the academic year. There was an indication that reduction in contact hours per day as input has a larger effect on efficiency of Tamale S.D.A S.H.S campus than does library facilities and trained to non trained teachers ratio . For Tamale S.H.S to be efficient the Adventist Education unit should implore the Tamale S.D.A Senior High School to utilize effectively their contact hours. iii
A thesis submitted to the Institute of Distance Learning, Kwame Nkrumah University of Science and Technology in partial fufillment of the requirement for the degree of M.Sc. Industrial Mathematics,