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International Journal of Neutrosophic Science
Volume 18 , Issue 3, PP: 72-83 , 2022 | Cite this article as | XML | Html |PDF

Title

Neutrosophic Two Way ANOVA

Authors Names :   Mahmoud Miari   1 *     Mohamad Taher Anan   2     Mohamed Bisher Zeina   3  

1  Affiliation :  Department of Mathematical Statistics, Faculty of Science, University of Aleppo, Aleppo, Syria.

    Email :  mahmoudmiari1994@gmail.com


2  Affiliation :  Department of Mathematical Statistics, Faculty of Science, University of Aleppo, Aleppo, Syria

    Email :  mtanan200988@gmail.com


3  Affiliation :  Department of Mathematical Statistics, Faculty of Science, University of Aleppo, Aleppo, Syria.

    Email :   bisher.zeina@gmail.com



Doi   :   https://doi.org/10.54216/IJNS.180306

Received: January 26, 2022 Accepted: April 15, 2022

Abstract :

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.

Keywords :

Analysis of Variance; Linear Models; Neutrosophic Statistics; Fisher Test; Type I Error

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Cite this Article as :
Mahmoud Miari , Mohamad Taher Anan , Mohamed Bisher Zeina, Neutrosophic Two Way ANOVA, International Journal of Neutrosophic Science, Vol. 18 , No. 3 , (2022) : 72-83 (Doi   :  https://doi.org/10.54216/IJNS.180306)