A study on the analysis of the likelihood principle and its educational implications. (Korean. English summary)

J. Korean Soc. Math. Educ., Ser. A, Math. Educ. 55, No. 2, 193-208 (2016).

Summary: This study analyzes the likelihood principle and elicits an educational implication. As a result of analysis, this study shows that frequentist and Bayesian interpret the principle differently by assigning a different role to that principle from each other. While frequentist regards the principle as ‘the principle forming a basis for statistical inference using the likelihood ratio’ through considering the likelihood as a direct tool for statistical inference, Bayesian looks upon the principle as ‘the principle providing a basis for statistical inference using the posterior probability’ by looking at the likelihood as a means for updating. Despite this distinction between two methods of statistical inference, two statistics schools get clues to compromise in a regard of using frequency prior probability. According to this result, this study suggests the statistics education that is a help to building of students’ critical eye by their comparing inferences based on likelihood and posterior probability in the learning and teaching of updating process from frequency prior probability to posterior probability.