SpringerBriefs in Statistics

# Two-Way Analysis of Variance

## Statistical Tests and Graphics Using R

Authors: MacFarland, Thomas W.

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​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.

Thomas W. MacFarland

Senior Research Associate and Associate Professor

Nova Southeastern University Office of Institutional Effectiveness

Fort Lauderdale, FL 33314 tommac@nova.edu

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)

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

MacFarland, Thomas W.

Pages 1-7

$29.95 • 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 MacFarland, Thomas W. Pages 9-29$29.95
• 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

MacFarland, Thomas W.

Pages 31-68

$29.95 • Two-Way Analysis of Variance (ANOVA) Sample 3: Comparison of Larvae Counts by AgChem Formulation and by AgChem Application Time-of-Day MacFarland, Thomas W. Pages 69-139$29.95

### Buy this book

eBook $29.99 price for USA (gross) • ISBN 978-1-4614-2134-4 • Digitally watermarked, DRM-free • Included format: EPUB, PDF • ebooks can be used on all reading devices • Immediate eBook download after purchase Softcover$39.95
price for USA
• ISBN 978-1-4614-2133-7
• Free shipping for individuals worldwide
• Usually dispatched within 3 to 5 business days.
Rent the eBook
• Rental duration: 1 or 6 month
• low-cost access
• online reader with highlighting and note-making option
• can be used across all devices

## Bibliographic Information

Bibliographic Information
Book Title
Two-Way Analysis of Variance
Book Subtitle
Statistical Tests and Graphics Using R
Authors
Series Title
SpringerBriefs in Statistics
2012
Publisher
Springer-Verlag New York
Thomas W. MacFarland
eBook ISBN
978-1-4614-2134-4
DOI
10.1007/978-1-4614-2134-4
Softcover ISBN
978-1-4614-2133-7
Series ISSN
2191-544X
Edition Number
1
Number of Pages
VII, 150
Number of Illustrations and Tables
1 b/w illustrations, 2 illustrations in colour
Topics