F-Test

Randall Schumacker and Sara Tomek
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Randall Schumacker: University of Alabama
Sara Tomek: University of Alabama

Chapter Chapter 11 in Understanding Statistics Using R, 2013, pp 197-207 from Springer

Abstract: Abstract Sir Ronald Fisher, upon discovering the work of W. S. Gossett (developed a test of mean differences between two groups, “student t-test,” or simply the t-test), extended it into his idea for an analysis of variance (ANOVA) technique. The analysis of variance technique was based on the idea that variance could be used to indicate whether sample means differed. For example, if three groups had the same average math score, then the variance (standard deviation) of the means would be zero, implying that the sample means do not vary (differ). As the sample means become more different, the variance increases. When sample means are similar in value they are called homogeneous, when they become more different in value they are called heterogeneous.

Keywords: Sample Mean Difference; Average Math Score; ANOVA Summary Table; SS Years; Storage Means (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4614-6227-9_11

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DOI: 10.1007/978-1-4614-6227-9_11

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