Data envelopment analysis (DEA) is a linear programming based technique for measuring the relative performance of organisational units where the presence of multiple inputs and outputs makes comparisons difficult. We used, Morita and Avkiran propose after it has been developed an input-output selection method that uses fractional factorial design, which is a statistical approach to find an optimal combination. Energy efficiency and greenhouse gas emissions are closely linked in the last two decades. We demonstrate the proposed method using data that increase energy efficiency and heating gas emissions in the European Union (EU) countries.