International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/1058 2020 2020 Department of Mathematical Statistics, Faculty of Science, University of Aleppo, Aleppo, Syria. Mahmoud .. Department of Mathematical Statistics, Faculty of Science, University of Aleppo, Aleppo, Syria Mohamad Taher .. Department of Mathematical Statistics, Faculty of Science, University of Aleppo, Aleppo, Syria. Mohamed Bisher Zeina 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 2022 72 83 10.54216/IJNS.180306 https://www.americaspg.com/articleinfo/21/show/1058