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Two-Way Analysis of Variance

Statistical Tests and Graphics Using R

  • Book
  • © 2012

Overview

Authors:
  1. Thomas W. MacFarland

    1. , Office for Institutional Effectiveness, Nova Southeastern University, Fort Lauderdale, USA

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Part of the book series: SpringerBriefs in Statistics (BRIEFSSTATIST)

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Table of contents (4 chapters)

  1. Front Matter

    Pages i-vii
    Download chapter PDF

  2. Learn R with Sample Lessons in Education and the Social Sciences, Health, and the Biological Sciences

    • Thomas W. MacFarland
    Pages 1-7

  3. Two-Way Analysis of Variance (ANOVA) Sample 1: Comparison of Scores on a Final Examination by Teaching Method and by Status as a Community College Graduate

    • Thomas W. MacFarland
    Pages 9-29

  4. Two-Way Analysis of Variance (ANOVA) Sample 2: Comparison of Systolic Blood Pressure Readings by Self-Declared Smoking Habits and by Self-Declared Drinking Habits

    • Thomas W. MacFarland
    Pages 31-68

  5. Two-Way Analysis of Variance (ANOVA) Sample 3: Comparison of Larvae Counts by AgChem Formulation and by AgChem Application Time-of-Day

    • Thomas W. MacFarland
    Pages 69-139
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Keywords

About this book

​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 graphicalfigures to complement outcomes from parametric Two-Way ANOVA.

Reviews

“This book provides a detailed description of the use of R code with examples for statistical tests and graphics in two-way analysis of variance in four chapters. … It is a great softcover book for self-learning and self-training at a modest price.” (Subir Ghosh, Technometrics, Vol. 56 (4), November, 2014)

Authors and Affiliations

  • , Office for Institutional Effectiveness, Nova Southeastern University, Fort Lauderdale, USA

    Thomas W. MacFarland

About the author

Thomas W. MacFarland

Senior Research Associate and Associate Professor

Nova Southeastern University Office of Institutional Effectiveness

Fort Lauderdale, FL 33314 tommac@nova.edu

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