Abstract
In this chapter, we generalize the simple t-test for situations where the factor variable takes more than two possible values; hence, the population of interest is divided into multiple groups. The response variable is numerical as before. Analysis of variance (ANOVA) is a method of comparing the means of the response variable across different groups specified by the factor variable. Our primary focus in this chapter is on problems where there is only one categorical factor defining the groups. We refer to the ANOVA method for such problems as one-way ANOVA. Next, we briefly discuss two-way ANOVA methods, where the groups are defined based on two factors (i.e., categorical variables).
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Aitchison, J., Dunsmore, I.R.: Statistical Prediction Analysis. Cambridge University Press, Cambridge (1975)
Scheffe, H.: The Analysis of Variance. Wiley, New York (1959)
Weerahandi, S.: Exact Statistical Methods for Data Analysis. Springer, Berlin (2003)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2012 Springer Science+Business Media, LLC
About this chapter
Cite this chapter
Shahbaba, B. (2012). Analysis of Variance (ANOVA). In: Biostatistics with R. Use R!. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-1302-8_9
Download citation
DOI: https://doi.org/10.1007/978-1-4614-1302-8_9
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4614-1301-1
Online ISBN: 978-1-4614-1302-8
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)