Two-Way Analysis of Variance

Statistical Tests and Graphics Using R

  • Thomas W. MacFarland

Part of the SpringerBriefs in Statistics book series (BRIEFSSTATIST)

About this book

Introduction

In statistics, analysis of variance (ANOVA) is a collection of statistical models used to distinguish between an observed variance in a particular variable and its component parts.  In its simplest form, ANOVA provides a statistical test of whether or not the means of several groups are all equal, and therefore generalizes a test between these groups. One test often used by statisticians and researchers in their work is the Two-Way ANOVA, which determines the differences--and possible interactions--when variables are presented from the perspective of two or more categories.  When a Two-Way ANOVA is implemented, it enables one to compare and contrast variables resulting from independent or joint actions. This brief provides guidance on how R can be used to facilitate Two-Way ANOVA for data analysis and graphical presentation.  Along with instruction on the use of R and R syntax associated with Two-Way ANOVA, this brief will also reinforce the use of descriptive statistics and graphical figures to complement outcomes from parametric Two-Way ANOVA. 

Keywords

Analysis of Variance Density Plot Multiple Comparisons R Functions Statistics

Authors and affiliations

  • Thomas W. MacFarland
    • 1
  1. 1., Office for Institutional EffectivenessNova Southeastern UniversityFort LauderdaleUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4614-2134-4
  • Copyright Information Thomas W. MacFarland 2012
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-4614-2133-7
  • Online ISBN 978-1-4614-2134-4
  • Series Print ISSN 2191-544X
  • Series Online ISSN 2191-5458
  • About this book