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Activity Number:
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283
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Type:
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Contributed
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Date/Time:
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Tuesday, August 4, 2009 : 8:30 AM to 10:20 AM
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Sponsor:
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Section on Statistical Education
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| Abstract - #304825 |
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Title:
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A Visual Model for Analysis of Variance
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Author(s):
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J. Burdeane Orris*+
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Companies:
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Butler University
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Address:
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140 Holcomb Research Building, Indianapolis, IN, 46208,
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Keywords:
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ANOVA ; visual model ; hypothesis testing ; regression
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Abstract:
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Analysis of variance results are always presented in an ANOVA table---sum of squares, degrees of freedom, mean square, and F. Students learn to follow the procedure and interpret the F ratio but they often do not have an appreciation for the meaning of the values in the table. This approach looks at the sums of squares as graphical objects---squares. This model gives students a better understanding of the information in an analysis of variance table because they can see the relative size of the squares for treatment (or regression) vs. error. The proportional sizes of the squares represent the proportion of variance accounted for (r-squared). The model presented will focus on simple ANOVA tables; however, it could be expanded for more complex ANOVA models.
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- The address information is for the authors that have a + after their name.
- Authors who are presenting talks have a * after their name.
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