Analysis of Graeco-Latin square designs in the presence of uncertain data

This paper addresses the Graeco-Latin square design (GLSD) under neutrosophic statistics. In this work, we propose a novel approach for analyzing Graeco-Latin square designs using uncertain observations. This approach involves the determination of a neutrosophic ANOVA and the determination of the neutrosophic hypotheses and decision rule. The performance of the proposed design is evaluated using the numerical examples and simulation study. Based on the results observed, it can be concluded that the GLSD under neutrosophic statistics performs better than the GLSD under classical statistics in the presence of uncertainty.