تصنيف البيانات وقياس كفاءتها باستخدام أسلوب K-Means و نموذج VRS : مديريات التربية العراقية-أنموذجا

The K-Means method is one of the statistical methods used to classify data by collecting data in the form of clusters so that each cluster represents an independent entity that contains a number of homogeneous factors among them. However, the classification mechanism can not explicitly determine the type of cluster containing classified aggregates . The study aimed at the classification of clusters by measuring their efficiency for decision-making units using the Variable Return Scales (VRS) model. This study was applied to the directorates of education at the Iraqi Ministry of Education - Primary Education for the academic year 2012-2013. The results of the study were based on the results of the first two clusters, which included (6) directorates. The second included (14) districts according to the K-Means method. The VRS model was applied to determine the most efficient clusters by measuring the total efficiency of both clusters. It was found that the second cluster is the best by measuring the efficiency of the total cluster and in two directions inputs and outputs with an efficiency of 0.823 and 0.958