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Abstract Details
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Activity Number:
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528
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Type:
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Contributed
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Date/Time:
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Wednesday, August 3, 2011 : 10:30 AM to 12:20 PM
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Sponsor:
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Section on Statistical Education
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| Abstract - #301919 |
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Title:
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Performing One-Group Hypothesis Testing Using Analysis of Variance
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Author(s):
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J. B. Orris*+
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Companies:
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Butler University
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Address:
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4600 Sunset Ave., Indianapolis, IN, 46208,
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Keywords:
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hypothesis testing ;
analysis of variance ;
ANOVA ;
degrees of freedom
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Abstract:
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In most introductory statisitcs courses and textbooks, hypothesis testing is introduced for one and two group tests and analysis of variance is used as a tool for comparing three or more groups; however, some textbooks and instructors also show that ANOVA also works for comparing two independent groups (One Factor ANOVA) or paired observations (Randomized Blocks). This paper goes a step further and shows how analysis of variance can also be used for one group hypothesis testing (mean vs. hypothesized value). The procedure described is a simple use of randomized blocks ANOVA and it is useful for illustrating the relationships between the different types of hypothesis tests and ANOVA.
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