How to teach Bayesian statistics? —Integrating Bayesian statistics into the course of psychological statistics—

Bayesian Statistics BAYESIAN STATISTICS ∗

Mathematical statistics uses two major paradigms, conventional (or frequentist), and Bayesian. Bayesian methods provide a complete paradigm for both statistical inference and decision making under uncertainty. Bayesian methods may be derived from an axiomatic system, and hence provide a general, coherent methodology. Bayesian methods contain as particular cases many of the more often used frequ...

Bayesian Statistics

Bayesian Statistics

Using Bayesian Strength of Belief to Teach Classical Statistics

Previous papers by the author have argued that the Bayesian strength of belief can be used in interpreting classical hypothesis tests and classical confidence intervals. In hypothesis tests, one's strength of belief in the truth of the alternate upon rejecting the null was argued to be equal to (1 p) under certain conditions. In confidence intervals, being 95% confident was argued as being oper...

Comparison of Estimates Using Record Statistics from Lomax Model: Bayesian and Non Bayesian Approaches

This paper address the problem of Bayesian estimation of the parameters, reliability and hazard function in the context of record statistics values from the two-parameter Lomax distribution. The ML and the Bayes estimates based on records are derived for the two unknown parameters and the survival time parameters, reliability and hazard functions. The Bayes estimates are obtained based on conju...