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R Statistics Cookbook

You're reading from   R Statistics Cookbook Over 100 recipes for performing complex statistical operations with R 3.5

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Product type Paperback
Published in Mar 2019
Publisher Packt
ISBN-13 9781789802566
Length 448 pages
Edition 1st Edition
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Author (1):
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Francisco Juretig Francisco Juretig
Author Profile Icon Francisco Juretig
Francisco Juretig
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Table of Contents (12) Chapters Close

Preface 1. Getting Started with R and Statistics FREE CHAPTER 2. Univariate and Multivariate Tests for Equality of Means 3. Linear Regression 4. Bayesian Regression 5. Nonparametric Methods 6. Robust Methods 7. Time Series Analysis 8. Mixed Effects Models 9. Predictive Models Using the Caret Package 10. Bayesian Networks and Hidden Markov Models 11. Other Books You May Enjoy

Formulating a linear regression model

The mechanics for Bayesian linear regression follow the same logic as that which was described in the previous chapter. The only real difference is that we will specify a distribution for the residuals, which will be distributed according to a Gaussian distribution, with 0 mean and a certain variance. These residuals will originate as the subtraction of the actual values, minus the expected ones. These expected values will be equal to the sum of several coefficients times certain variables.

In a linear regression context, we want to build inferences on the coefficients. But here (as we have already mentioned), we will estimate a density for each posterior.

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