aspg-21-3062-1791472396 20261008151316 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2025 25 1 Luis Alonso Chicaiza Sánchez Technical University of Cotopaxi, Ecuador Patricia Marcela Andrade Aulestia Technical University of Cotopaxi, Ecuador Dildora Abduturapova Tashkent State University of Economics, Uzbekistan In this article, an innovative approach is presented that combines analysis of variance (ANOVA) with the Neutrosophic 2-Tuple linguistic method to explore and analyze the complex interactions between elements in various contexts. ANOVA, known for its ability to decompose variance and detect significant differences between groups, is here merged with the Neutrosophic method, which provides tools to handle the uncertainty and linguistic ambiguity present in many real data sets. This methodological synergy not only expands analytical possibilities, but also allows for a more nuanced and profound interpretation of the relationships between variables, overcoming the limitations of traditional approaches that assume absolute certainty in the data. Through detailed case studies and practical examples, it is demonstrated how this hybrid model can be effectively applied in fields as diverse as scientific research, business management, and public policy evaluation. The results obtained illustrate how the combination of ANOVA and 2-Tuple Neutrosophic not only improves the precision of statistical analysis, but also enriches the understanding of complex phenomena by considering and modeling uncertainty in a more realistic and adaptable way to different contexts and scenarios. 2025 463 474 3062 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.250141 https://www.americaspg.com/journal/21/article/3062 https://www.americaspg.com/storage/41737293363.pdf