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The New Statistics with RAn Introduction for Biologists$
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Andy Hector

Print publication date: 2015

Print ISBN-13: 9780198729051

Published to Oxford Scholarship Online: March 2015

DOI: 10.1093/acprof:oso/9780198729051.001.0001

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Linear Regression

Linear Regression

Chapter:
(p.51) 4 Linear Regression
Source:
The New Statistics with R
Author(s):

Andy Hector

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198729051.003.0004

This chapter extends the use of linear models to relationships with continuous explanatory variables, in other words, linear regression. The goal of the worked example (on wood hardness data) given in detail in this chapter is prediction, not hypothesis testing. Confidence intervals and prediction intervals are explained. Graphical approaches to checking the assumptions of linear model analysis are explored in further detail. The effects of transformations on linearity, normality, and equality of variance are investigated.

Keywords:   linear regression, explanatory variables, prediction, hypothesis testing, graphical approaches, transformations, linearity, normality, equality of variance

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