aspg-21-1058-1791468724 20261008141204 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2022 18 3 Mahmoud Miari Department of Mathematical Statistics, Faculty of Science, University of Aleppo, Aleppo, Syria. Mohamad Taher Anan Department of Mathematical Statistics, Faculty of Science, University of Aleppo, Aleppo, Syria Mohamed Bisher Zeina Department of Mathematical Statistics, Faculty of Science, University of Aleppo, Aleppo, Syria. In this paper, well-known two way analysis of variance (Two Way ANOVA) is generalized to neutrosophic two way ANOVA dealing with neutrosophic data of the form N=D+I. Neutrosophic two way anova is a neutrosophic linear model test wheteher there is a significant difference between different treatments and whether there is a significant difference between different sectors keeping the type I error low. An algotithm is introduced to calculate fisher test statistics when we have neutrosophic data and we are testing two hypothesizes, first is to test differences between treatments and second is to test differences between sectors. 2022 72 83 1058 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.180306 https://www.americaspg.com/journal/21/article/1058 https://www.americaspg.com/storage/1114.pdf