Presenting post hoc multiple comparison tests under neutrosophic statistics

Abstract

The existing post hoc tests under classical statistics have been applied for analyzing the data having all determined, precise and exact observations. In practice, the data recorded from the complex situations or under uncertainty does not contain all determined observations in the data. In this case, the data is recorded in the indeterminacy interval and can be analyzed using neutrosophic statistics. In this paper, we will modify the existing least significant difference Test, Bonferroni Test and Scheffe Test under the neutrosophic statistics. We will present some basic modified tests under neutrosophic statistical interval method (NSIM) and explained them with the help of real data. We will compare the performance of the proposed tests with the existing tests under uncertainty environment. The proposed post hoc tests are flexible and informative than the post hoc tests under classical statistics.