Bayesian Methodology: an Overview With The Help Of R Software
By Editor IJSMI
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About this ebook
Bayesian methodology differs from traditional statistical methodology which involves frequentist approach. Bayesian methodology was introduced by Thomas Bayes (Statistician and minister at the Presbyterian Chapel) during the 18th Century. Bayesian methodology is now widely being used due to its simple, straightforward and interpretable characteristics of probability values and the efficiency of modern day computer systems.
Bayesian methodology is now being used in the field of clinical research, clinical trials, epidemiology, econometrics, statistical process control, marketing research and statistical mechanics. It also used in the emerging field such as data science (machine learning and deep learning) and big data analytics.
The book provides an overview of Bayesian methodology, its uses in different fields with the help of R statistical open source software.
It is recommended to refer author's book on Application of Statistical Tools in Biomedical Domain: An Overview with Help of Software and Essentials of Bio-Statistics: An overview with the help of Software if you need to familiarize yourself with the basic statistical knowledge.
Editor IJSMI
Editor, International Journal of Statistics and Medical Informatics www.ijsmi.com/book.php editorijsmi@gmail.com
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Bayesian Methodology - Editor IJSMI
Bayesian Methodology: An overview with the help of R software
Title: Bayesian Methodology: An overview with the help of R software
Author: Editor IJSMI
Bayesian Methodology: An overview with the help of R software
Preface
Bayesian methodology differs from traditional statistical methodology which involves frequentist approach. Bayesian methodology was introduced by Thomas Bayes (Statistician and minister at the Presbyterian Chapel) during the 18th Century. Bayesian methodology is now widely being used due to its simple, straightforward and interpretable characteristics of probability values and the efficiency of modern day computer systems.
Bayesian methodology is now being used in the field of clinical research, clinical trials, epidemiology, econometrics, statistical process control, marketing research and statistical mechanics. It also used in the emerging field such as data science (machine learning and deep learning) and big data analytics.
The book provides an overview of Bayesian methodology, its uses in different fields with the help of R statistical open source software.
It is recommended to refer author’s book on Application of Statistical Tools in Biomedical Domain: An Overview with Help of Software and Essentials of Bio-Statistics: An overview with the help of Software if you need to familiarize yourself with the basic statistical knowledge.
Editor
International Journal of Statistics and Medical Informatics
Contents
Chapter 1 – Introduction to Statistical concepts
Chapter 2 – Introduction to R Statistical Software
Chapter 3 – Introduction to Bayesian Methodology
Chapter 4 – Bayesian concepts - types of priors and Markov Chain and Monte Carlo method
Chapter 5 – Bayesian inference - Binomial test
Chapter 6 – Bayesian inference - Poisson test
Chapter 7 – Bayesian inference – Student’s t test
Chapter 8 – Bayesian inference – Correlation Test
Chapter 9 – Bayesian Regression
Bayesian Linear Regression
Bayesian Logistic Regression
Bayesian probit Regression
Bayesian Quantile Regression
Chapter 10 – Bayesian Survival Analysis
Chapter 11 – Bayesian methodology in Machine Learning
Bayesian – Machine learning - Classification Models (supervised learning)
Bayesian – Machine learning - Topic Modeling (unsupervised learning)
Chapter 12 – Bayesian network
Chapter 1 – Introduction to Statistical concepts
This chapter starts with some basic statistical concepts which are necessary to understand Bayesian methodology. Readers are encouraged to refer to the Author’s Book Essentials of Biostatistics – An Overview with the help of software
for further details.
Variable
A variable is defined as the quantity whose value changes. For example, age can be defined as the variable whose values change from 0 to 100 or gender can be defined as variable whose value changes between Male and Female.
Population:
Population is defined as the aggregate of elements or cases which share some common features or variables. Examples for a population can be defined as population of cancer patients
and population of males
.
Sample:
Sample is a subset of a given population.
Distribution
Distribution represents the entire spread of the given variable. For example, age distribution of cancer patients shows the entire spread of age of the cancer patients.
Mean
Mean of a variable is defined as a measure of central tendency which measures the center of the distribution of the particular variable. Here mean age of