Let’s Summarize
- The null hypothesis is that all the group population means are the same. The alternative hypothesis is that at least one pair of means is different.
- A one-way ANOVA uses variances to help determine if the means are equal or not.
- The F-statistic (or ratio) has two degrees of freedom associated with it.
- The F-statistic compares the variability between groups and the variability within groups. If these variabilities are similar, the F-statistic ratio is close to 1.
- A one-way ANOVA is always a right-tail test.
- Another test that follows an F distribution is a test of two variances, which may be one-tailed or two-tailed.
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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