Full Description
The current textbook has been written as a help to medical / health professionals and students for the study of modern Bayesian statistics, where posterior and prior odds have been replaced with posterior and prior likelihood distributions. Why may likelihood distributions better than normal distributions estimate uncertainties of statistical test results? Nobody knows for sure, and the use of likelihood distributions instead of normal distributions for the purpose has only just begun, but already everybody is trying and using them. SPSS statistical software version 25 (2017) has started to provide a combined module entitled Bayesian Statistics including almost all of the modern Bayesian tests (Bayesian t-tests, analysis of variance (anova), linear regression, crosstabs etc.).
Modern Bayesian statistics is based on biological likelihoods, and may better fit clinical data than traditional tests based normal distributions do. This is the first edition to systematically implymodern Bayesian statistics in traditional clinical data analysis. This edition also demonstrates that Markov Chain Monte Carlo procedures laid out as Bayesian tests provide more robust correlation coefficients than traditional tests do. It also shows that traditional path statistics are both textually and conceptionally like Bayes theorems, and that structural equations models computed from them are the basis of multistep regressions, as used with causal Bayesian networks.
Contents
Preface.- General Introduction to Modern Bayesian Statistics.- Traditional Bayes: Diagnostic Tests, Genetic Research, Bayes and Drug Trials.- Bayesian Tests for One Sample Continuous Data.- Bayesian Tests for One Sample Binary Data.- Bayesian Paired T-Tests.- Bayesian Unpaired T-Tests.- Bayesian Regressions.- Bayesian Analysis of Variance (Anova).- Bayesian Loglinear Regression.- Bayesian Poisson Rate Analysis.- Bayesian Pearson Correlations.- Bayesian Statistics: Markov Chain Monte Carlo Sampling.- Bayes and Causal Relationships.- Bayesian Network.- Index.
