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The F Distribution (Variance Ratio)

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Abstract

In section 9.8 it was assumed that both populations had the same variance, in order that we could use the ‘t’ test or normal test, for the difference between two means. We now consider a distribution which allows us to use the sample variances to test if the assumption about the population variances is a reasonable one. It can also be used to test a given ratio σ 21 22 of the variances and to obtain confidence limits for this ratio. The distribution is called the ‘Fdistribution in honour of R. A. Fisher who was one of the pioneers in the use of statistics.

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© 1968 Springer Science+Business Media New York

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Mulholland, H., Jones, C.R. (1968). The F Distribution (Variance Ratio). In: Fundamentals of Statistics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-6507-3_12

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  • DOI: https://doi.org/10.1007/978-1-4899-6507-3_12

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4899-6240-9

  • Online ISBN: 978-1-4899-6507-3

  • eBook Packages: Springer Book Archive

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