Data analysis for vague contingency data

Abstract

The existing Fisher’s exact test has been widely applied for investigating whether the difference between the observed frequencies is significant or not. The existing Fisher’s exact test can be applied only when the observed frequencies are in determinate form and has no vogues information. In practice, due to the complicity in the production process, it is not always possible to have observed frequencies in determinate form. Therefore, the use of the existing Fisher’s exact test may mislead the industrial engineers. The paper presents the modification of Fisher’s exact test using neutrosophic statistics. The operational process, simulation study, and application using the production data will be given in the paper. From the analysis of industrial data, it can be concluded that the proposed Fisher’s exact test performs well than the existing Fisher’s exact test.