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.