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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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Comparing Groups: Analysis of Variance

Comparing Groups: Analysis of Variance

Chapter:
(p.7) 2 Comparing Groups: Analysis of Variance
Source:
The New Statistics with R
Author(s):

Andy Hector

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198729051.003.0002

Analysis of variance is introduced using a worked analysis of some data collected by Charles Darwin on inbreeding depression in experimental maize plants. ANOVA is used to compare the height of a group of cross-pollinated plants with a group of self-fertilized seedlings. The least squares process is explained including the calculation of sums of squares and variances and the calculation of F-ratios. The organization of the results of a linear model into an ANOVA table is explained. The R code necessary to perform the analysis is worked through and explained in terms of the underlying statistical concepts and the interpretation of the R output demonstrated.

Keywords:   analysis of variance, least squares, linear model, ANOVA table, F-ratios, sums of squares, variance

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