Final answer:
ANOVA (Analysis of Variance) is a statistical test that is used to determine if there are significant differences in the means among two or more groups. It compares the variation within each group to the variation of the mean of each group, using the F statistic from an F distribution to obtain a p-value.
Step-by-step explanation:
ANOVA (Analysis of Variance) is a statistical test that is used to determine if there are significant differences in the means among two or more groups. It tests the null hypothesis that the means are equal against the alternative hypothesis that at least one mean is different.
A one-way ANOVA specifically compares the means of a response variable for several groups. It compares the variation within each group to the variation of the mean of each group, using the F statistic from an F distribution to obtain a p-value.
The one-way ANOVA test is appropriate when the populations of interest are normally distributed, have equal standard deviations, and the samples are randomly and independently selected from each population.