Description
Springer Modern Bayesian Statistics in Clinical Research 2019 Edition by Ton J. Cleophas, Aeilko H. Zwinderman
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 imply modern 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. Table of contents :- PrefaceChapter 1General Introduction to Modern Bayesian Statistics Chapter 2Traditional Bayes: Diagnostic Tests, Genetic Research, Bayes and Drug Trials Chapter 3Bayesian Tests for One Sample Continuous DataChapter 4Bayesian Tests for One Sample Binary Data Chapter 5Bayesian Paired T-Tests Chapter 6Bayesian Unpaired T-Tests Chapter 7Bayesian Regressions Chapter 8Bayesian Analysis of Variance (Anova) Chapter 9Bayesian Loglinear Regression Chapter 10Bayesian Poisson Rate Analysis Chapter 11Bayesian Pearson Correlations Chapter 12Bayesian Statistics: Markov Chain Monte Carlo SamplingChapter 13Bayes and Causal Relationships Chapter 14Bayesian Network Index