Research article | Open Access
Base for Electronic Educational Sciences 2026, Vol. 7(1) 1-19
The Cohesion of Education and Happiness: An Efficiency Assessment of G7 Countries Using Integrated Slack-Based Data Envelopment Analysis and ROC Analysis
pp. 1 - 19
Publish Date: March 29, 2026 | Single/Total View: 0/0 | Single/Total Download: 0/0
Abstract
The purposes of this study are to assess the efficiency of the cohesion of education and happiness of G7 countries (Canada, France, Germany, Italy, Japan, the United Kingdom and the United States), and to test the diagnostic performance of input and output variables in determining the efficiency status of G7 countries. For these purposes, the study has a two-stage analysis design. In the first stage; Input Orientation Slack-Based Data Envelopment Analysis (DEA) model was employed using five input variables (PISA Reading Performance, PISA Mathematics Performance and PISA Science Performance) and one output variable (Average Happiness Score). In the second stage, the ROC Analysis was conducted for the diagnostic performance of input and output variables in determining the Efficiency Status of G7 countries. The dataset belongs to 2025 or the nearest year, and it is gathered from OECD Data and the World Happiness Report 2025. While the first stage of analysis design was carried out using the deaR package in the R project, the second stage was carried out using Inonu University Faculty of Medicine, Department of Biostatistics and Medical Informatics, Diagnostic Tests and ROC Analysis Software. According to the first stage of analysis design, it was determined that 5 out of 7 G7 countries are efficient (Canada, France, Germany, Italy, Japan, the United Kingdom and the United States), while the remaining two countries (Japan and the United Kingdom) were found to be inefficient. Besides, all five efficient G7 countries rank first, while Japan ranks last among the seven G7 countries. According to the second stage of analysis design, it was determined that the i2: PISA Mathematics Performance and i3: PISA Science Performance input variables could distinguish the Efficiency Status with the cutoff points (481.901) and (499.542), respectively. As the cohesion of education and happiness efficiency of G7 countries remains largely unexplored in the existing literature, this study stands out by incorporating the Slack-Based Measure and ROC Analysis to fill this research gap.
Keywords: Data Envelopment Analysis, ROC Analysis, Education, G7 Countries
APA 7th edition
Ozdemir, A. (2026). The Cohesion of Education and Happiness: An Efficiency Assessment of G7 Countries Using Integrated Slack-Based Data Envelopment Analysis and ROC Analysis. Base for Electronic Educational Sciences, 7(1), 1-19.
Harvard
Ozdemir, A. (2026). The Cohesion of Education and Happiness: An Efficiency Assessment of G7 Countries Using Integrated Slack-Based Data Envelopment Analysis and ROC Analysis. Base for Electronic Educational Sciences, 7(1), pp. 1-19.
Chicago 16th edition
Ozdemir, Aydin (2026). "The Cohesion of Education and Happiness: An Efficiency Assessment of G7 Countries Using Integrated Slack-Based Data Envelopment Analysis and ROC Analysis". Base for Electronic Educational Sciences 7 (1):1-19.
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