International Journal of Neutrosophic Science

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https://doi.org/10.54216/IJNS

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Volume 18 , Issue 3 , PP: 72-83, 2022 | Cite this article as | XML | Html | PDF | Full Length Article

Neutrosophic Two Way ANOVA

Mahmoud Miari 1 * , Mohamad Taher Anan 2 , Mohamed Bisher Zeina 3

  • 1 Department of Mathematical Statistics, Faculty of Science, University of Aleppo, Aleppo, Syria. - (mahmoudmiari1994@gmail.com)
  • 2 Department of Mathematical Statistics, Faculty of Science, University of Aleppo, Aleppo, Syria - (mtanan200988@gmail.com)
  • 3 Department of Mathematical Statistics, Faculty of Science, University of Aleppo, Aleppo, Syria. - ( 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 :
    Miari, Mahmoud. , Taher, Mohamad. , Bisher, Mohamed. Neutrosophic Two Way ANOVA. Journal of International Journal of Neutrosophic Science, vol. 18, no. 3, 2022, pp. 72-83. DOI: https://doi.org/10.54216/IJNS.180306
    Miari, M. Taher, M. Bisher, M. (2022). Neutrosophic Two Way ANOVA. Journal of International Journal of Neutrosophic Science, 18( 3), 72-83. DOI: https://doi.org/10.54216/IJNS.180306
    Miari, Mahmoud. Taher, Mohamad. Bisher, Mohamed. Neutrosophic Two Way ANOVA. Journal of International Journal of Neutrosophic Science 18, no. 3 (2022): 72-83. DOI: https://doi.org/10.54216/IJNS.180306
    Miari, M. , Taher, M. , Bisher, M. (2022) . Neutrosophic Two Way ANOVA. Journal of International Journal of Neutrosophic Science , 18( 3) , 72-83 . DOI: https://doi.org/10.54216/IJNS.180306
    Miari M. , Taher M. , Bisher M. [2022]. Neutrosophic Two Way ANOVA. Journal of International Journal of Neutrosophic Science. 18( 3): 72-83. DOI: https://doi.org/10.54216/IJNS.180306
    Miari, M. Taher, M. Bisher, M. "Neutrosophic Two Way ANOVA," Journal of International Journal of Neutrosophic Science, vol. 18, no. 3, pp. 72-83, 2022. DOI: https://doi.org/10.54216/IJNS.180306