A Statistical Comparison Study of a Real-Life Survey Data  on Procedural Justice via Neutrosophic Likert Scale with  Score Function and Classical Likert Scale

Seher BODUR; Selçuk TOPAL; Hacı GÜRKAN

Authors

Seher BODUR Department of Statistics, Bitlis Eren University, Bitlis 13000, Türkiye;
Selçuk TOPAL Department of Mathematics, Gebze Technical University, Kocaeli 41000, Türkiye;
Hacı GÜRKAN Vocational School of Hizan, Bitlis Eren University, Bitlis 13000, Türkiye;

Keywords:

Organizational justice, Likert scale, Neutrosophic Likert Scale, Neutrosophic sets, Neutrosophic survey, Neutrosophic logic, Exploratory factor analysis, Paired samples t test, Procedural justice, score function

Abstract

The present study aims to examine the distinctions between Likert and Neutrosophic scales in their
ability to measure organizational behaviors and the many dimensions of organizational justice. To
evaluate procedural justice, 6 questions measuring procedural justice from the Learning
Environment Questionnaire were used. Compared to the Likert scale, the Neutrosophic scale
exhibited greater decision weights and a more distinct expression of participants' ideas due to its
ability to capture more complex replies. The reliability of both scales was found to be high, as
indicated by satisfactory Cronbach's alpha coefficients. The results of the exploratory factor analysis
indicated that both scales consisted of two sub-dimensions. However, it was observed that the
Neutrosophic scale did not necessitate reverse coding for specific items, unlike the Likert scale. This
suggests a potential advantage in terms of clarity and interpretability. Furthermore, the study
revealed that age and faculty type exerted a substantial impact on participants' replies. Notably,
there were considerable variations seen among different age groups on the Likert scale, as well as
across different faculty types on the Neutrosophic scale. The results indicate that the Neutrosophic
scale may yield more consistent and dependable data, particularly in varied demographic settings.

DOI: 10.5281/zenodo.14370507