Neutrosophic statistical analysis of split-plot designs

Abstract

The classic split-plot designs are unable to analyze indeterminate and uncertain data resulting from circumstances beyond our control. To this end, proposing a generalized approach to be applied to split-plot designs in uncertain environments is desired. In this study, a new approach is proposed using neutrosophic statistics to analyze split-plot and split-block designs. By such an approach neutrosophic hypothesis is formulated, a decision rule is suggested, and neutrosophic ANOVA Tables, including the FN-test, are derived. Furthermore, a numerical example and a simulation study are established to evaluate the effectiveness of the proposed designs. The results confirm that the neutrosophic logic of the proposed designs is more efficient and flexible than the classic designs in the event of facing uncertain data. © 2023, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.