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Bayesian Methodology: an Overview With The Help Of R Software
Bayesian Methodology: an Overview With The Help Of R Software
Bayesian Methodology: an Overview With The Help Of R Software
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Bayesian Methodology: an Overview With The Help Of R Software

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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.

LanguageEnglish
PublisherIJSMI
Release dateNov 13, 2021
ISBN9798201786465
Bayesian Methodology: an Overview With The Help Of R Software
Author

Editor IJSMI

Editor, International Journal of Statistics and Medical Informatics www.ijsmi.com/book.php editorijsmi@gmail.com

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    Book preview

    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

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