Comparison between frequentists inference and Bayesian inference in the study of the difference in the trait "extraversion" students of the University of Biskra

Abstract

The study aimed to identify, on the extent of differences between the methodology of studying the differences between the variables using two statistical methodologies: frequentist inference and Bayesian inference, where in this study the

 difference was based on conducting a comparative study on a characteristic of personality which is ' extroversion ', where the scale of the five major factors was applied to the university students, who number (70 students), 39 male and 31 female, and the R programming language for statistical processing was adopted, which is a language that has statistical packages Through the procedures of iterative reasoning and Bayesian reasoning, especially the study of differences through its availability on the 'BEST' package, also allows for clarity and ease in applying its instructions in Bayesian statistics compared to other statistical programs, and the results of this research were the existence of differences between males and females in favor of females, but Differences were observed in the accuracy and discussion of the results, it was through repeated inference that differences were found without any other practical information, while Bayesian reasoning went beyond that, which is a discussion of how accurate and how For evidence inspired by previous data and information that supports or cancels the hypothesis instead of stopping at acceptance or rejection only and also highlighting the importance of the results of previous studies and experiences in the results and inferences of current research.