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F-Test

In: Understanding Statistics Using R

Author

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  • Randall Schumacker

    (University of Alabama)

  • Sara Tomek

    (University of Alabama)

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.

Suggested Citation

  • Randall Schumacker & Sara Tomek, 2013. "F-Test," Springer Books, in: Understanding Statistics Using R, edition 127, chapter 0, pages 197-207, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4614-6227-9_11
    DOI: 10.1007/978-1-4614-6227-9_11
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