Key Concepts
- A test of two variances may be one-tailed or two-tailed.
- The conditions for an F test on two variances are:
- The populations from which the two samples are drawn are normally distributed.
- The two populations are independent of each other.
- The test statistic is based on the assumption that the variances are equal. It is [latex]F = \frac{(S_1)^2}{(S_2)^2}[/latex].
Glossary
Variance: mean of the squared deviations from the mean; the square of the standard deviation. For a set of data, a deviation can be represented as [latex]x- \overline{x}[/latex] where [latex]x[/latex] is a value of the data and [latex]\overline{x}[/latex] is the sample mean. The sample variance is equal to the sum of the squares of the deviations divided by the difference between the sample size and one.
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- Introductory Statistics. Authored by: Barbara Illowsky, Susan Dean. Provided by: OpenStax. Located at: https://openstax.org/books/introductory-statistics/pages/1-introduction. License: CC BY: Attribution. License Terms: Access for free at https://openstax.org/books/introductory-statistics/pages/1-introduction