Analysing Gray Cast Iron Data using a New Shapiro-Wilks test for Normality under Indeterminacy

ABSTRACT

Shapiro–Wilks test is popularly used for testing the normality of the data. Shapiro–Wilks test using the idea of neutrosophic statistics is discussed in this paper. The necessary equations are given under the indeterminacy environment. The testing procedure of the proposed test is given and explained with the help of chemical data. The performance of the proposed Shapiro–Wilks test is discussed with the Shapiro–Wilks test under the classical statistics. From the comparison, it is concluded that the proposed Shapiro–Wilks test is affective to apply when the data are obtained under uncertain environment.

KEYWORDS:

• Shapiro–Wilks test
• neutrosophic statistics
• classical statistics
• indeterminacy
• sample size

Acknowledgements

The authors are deeply thankful to the editor and reviewers for their valuable suggestions to improve the quality of this manuscript.

Author contributions

Conceived and designed the experiments, M.A.; Performed the experiments, M.A.; Analyzed the data, M.A.; Contributed reagents/materials/analysis tools, M.A; Wrote the paper, M.A.

Disclosure statement

The authors declare no conflict of interest regarding this paper.

Data Availability

The data are given in the paper.

Additional information

Funding

This article was funded by the Deanship of Scientific Research (DSR) at King Abdulaziz University, Jeddah. The authors, therefore, acknowledge with thanks DSR technical and financial support.