International Journal of Neutrosophic Science

Journal DOI

https://doi.org/10.54216/IJNS

Submit Your Paper

2690-6805ISSN (Online) 2692-6148ISSN (Print)

Volume 23 , Issue 1 , PP: 125-133, 2024 | Cite this article as | XML | Html | PDF | Full Length Article

Synergizing Neutrosophy and Randomized Blocks Design: Development and Analytical Insights

Srishti Kumari 1 * , Azarudheen S. 2

  • 1 Department of Statisitcs and Data Science, CHRIST (Deemed to be University), Bangalore, India - (srishti.kumari@res.christuniversity.in)
  • 2 Department of Statisitcs and Data Science, CHRIST (Deemed to be University), Bangalore, India - (azarudheen.s@christuniversity.in)
  • Doi: https://doi.org/10.54216/IJNS.230111

    Received: May 18, 2023 Revised: August 25, 2023 Accepted: November 14, 2023
    Abstract

    The design of the experiment is a strategy for effectively examining the relationship between input design parameters and process output and developing a greater understanding. A randomized block design is an experimental design that has two primary factors and is widely used in agriculture, environment, biological, animal, and food sciences, where experimental material is heterogeneous and precise. In a randomised block design, one or more observations may lose their true significance due to an accident, poor handling, pest infestations in agricultural trials, or other factors. It is prudent to treat this value as missing and estimate it. In today’s practical situations, uncertainty and inaccuracies are inevitable in most research areas. It is important to handle such data, which can lead to inaccurate and unreliable results. Neutrosophy is the branch of philosophy that provides an efficient method to study impreciseness among the data. Some of the common sources of Neutrosophy in randomised block design are incorrect blocking factor selection, measurement error, subjective factors, and natural variability. It is paramount to handle the Neutrosophy in a randomised block design; otherwise, it may lead to various problems, like a high risk of false positives. In this paper, the Neutrosophic Randomised Block Design (NRBD) is introduced to tackle data impreciseness. The study also, outlines a methodology for estimating missing observations in NRBD and presents its analysis. Additionally, the study compares the efficiency of NRBD to that of the Neutrosophic Completely Randomised Design (NCRD).

    Keywords :

    Design of Experiment, Randomised Block Design , Neutrosophy , Neutrosophic Randomised Block Design , Neutrosophic Completely Randomised design

    References

    [1]

    W. G. Cochran and M. G. Cox, Experimental Designa, Asia Publishing House, 1959.

    [2]

    R. A. Fisher, The Design of Experiments, Oliver and Boyd, 1947.

    [3]

    N. M. Ranka and L. Sharma, "Design of Experiments : A Powerful for Agriculture Analysis," Elixir Statistics, vol. 52, pp. 11356-11358, 2012.

    [4]

    F. Smarandache, "First International Conference on Neutrosophy, Neutrosophic Logic, Set, Probability, and Statistics," Gallup, USA, 2002.

    [5]

    S. Kumari, A. S and J. James, "A Study on Neutrosophic Completely Randomised Design," Mathematical Statistician and Engineering Apllications, vol. 71, no. 4, pp. 3738-3747, 2022.

    [6]

    K. Gnanapriya , M. P. Pachamuthu and S. Kavitha, "Fuzzy Ranking Approach for Randomized Block Designs using Median Value," European Journal of Molecular & Clinical Medicine, vol. 7, no. 3, pp. 582-590, 2020.

    [7]

    A. ALAita, H. Talebi, M. Aslam and K. A. Sultan, "Neutrosophic Statistical Analysis of Split -Plot Design," Mathematical Methods in Data Science, vol. 27, pp. 7801-7811, 2023.

    [8]

    F. Smarandache, Introduction to Neutrosophic Statistics, Sitech& Education, 2014.

    [9]

    M. Miari, M. T. Anan and M. B. Zeina, "Neutosophic Two Way ANOVA," International Journal Of Neutrosophic Science, vol. 18, no. 3, pp. 72-83, 2022.

    Cite This Article As :
    Kumari, Srishti. , S., Azarudheen. Synergizing Neutrosophy and Randomized Blocks Design: Development and Analytical Insights. International Journal of Neutrosophic Science, vol. , no. , 2024, pp. 125-133. DOI: https://doi.org/10.54216/IJNS.230111
    Kumari, S. S., A. (2024). Synergizing Neutrosophy and Randomized Blocks Design: Development and Analytical Insights. International Journal of Neutrosophic Science, (), 125-133. DOI: https://doi.org/10.54216/IJNS.230111
    Kumari, Srishti. S., Azarudheen. Synergizing Neutrosophy and Randomized Blocks Design: Development and Analytical Insights. International Journal of Neutrosophic Science , no. (2024): 125-133. DOI: https://doi.org/10.54216/IJNS.230111
    Kumari, S. , S., A. (2024) . Synergizing Neutrosophy and Randomized Blocks Design: Development and Analytical Insights. International Journal of Neutrosophic Science , () , 125-133 . DOI: https://doi.org/10.54216/IJNS.230111
    Kumari S. , S. A. [2024]. Synergizing Neutrosophy and Randomized Blocks Design: Development and Analytical Insights. International Journal of Neutrosophic Science. (): 125-133. DOI: https://doi.org/10.54216/IJNS.230111
    Kumari, S. S., A. "Synergizing Neutrosophy and Randomized Blocks Design: Development and Analytical Insights," International Journal of Neutrosophic Science, vol. , no. , pp. 125-133, 2024. DOI: https://doi.org/10.54216/IJNS.230111