Branch Mathematics and Statistics Faculty and Staff Publications

Document Type

Article

Publication Date

2024

Abstract

Classical row-column designs cannot be applied when the underlying data set contains some imprecise, uncertain, or undetermined observations. In this paper, we discuss row-column design under a neutrosophic statistical framework. A significant contribution of our study is to propose a novel approach to analyzing row-column designs using neutrosophic data. This approach involves calculating the neutrosophic analysis of variance (NANOVA) table for the proposed design and using it to derive the FN -test in an uncertain environment. Two numerical examples have been used to assess the proposed design’s performance. Results from the study indicated that a row column design under neutrosophic statistics was more efficient than a row-column design under classical statistics in the presence of uncertainty.

Publication Title

Advances and Applications in Statistics

Volume

91

Issue

5

First Page

657

Last Page

671

DOI

http://dx.doi.org/10.17654/0972361724035

Language (ISO)

English

Keywords

neutrosophic statistics, row-column design, neutrosophic data, neutrosophic analysis of variance

Creative Commons License

Creative Commons Attribution 4.0 International License
This work is licensed under a Creative Commons Attribution 4.0 International License.

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