Further statistics in dentistry Part 9: Bayesian statistics

Bayesian Statistics 9

We thank all of the discussants for their valuable insights and elaborations. In particular, we thank Prof. Clarke and Dr. Severinski for their conjectured extension to Theorem 3, the product of many personal discussions both in Austin and in Spain (and probably many more hours of work in Miami). The conjecture seems quite likely to be true, and strikes us as a nice way of understanding adaptiv...

Statistics for dental researcher, Part 2: Descriptive statistics

Descriptive statistics is the process of summarizing gathered raw data from a research and creating useful statistics, which help the better understanding of data. According to the types of variables, which consist of qualitative and quantitative variables, some descriptive statistics have been introduced. Frequency percentage is used in qualitative data, and mean, median, mode, standard deviat...

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...

Statistics for dental researchers; part 1: Introduction

Learning statistics is a necessity for dental researchers. Due to daily dental science expansion, dental researchers have to study new papers in recent dental journals to remain up to date. On the other hand, knowing principles of statistics helps better understanding of the articles. Some authors revealed that knowledge of dentists about basic topics of statistics was poor. Therefore, in this ...

Bayesian Statistics