One-Way ANOVA

An F-test is any statistical test in which the test statistic has an F-distribution under the null hypothesis.

The $F$-test as a one-way analysis of variance assesses whether the expected values of a quantitative variable within groups differ from each other.

The $F$-test can be used to test the hypothesis that the variances of two populations are equal.

Most $F$-tests arise by considering a decomposition of the variability in a collection of data in terms of sums of squares.

ANOVA is a statistical tool used in several ways to develop and confirm an explanation for the observed data.

Many statisticians base ANOVA on the design of the experiment, especially on the protocol that specifies the random assignment of treatments to subjects.

The results of a one-way ANOVA can be considered reliable as long as certain assumptions are met.