Final answer:
The significance test used in an ANOVA table is the F test. This test compares the variance between group means to the variance within groups using the F statistic, which is based on the F distribution with specific degrees of freedom.
Step-by-step explanation:
The test used for testing significance in an analysis of variance table is the C. F test. Analysis of variance (ANOVA) compares the means of a response variable for several groups and is designed to assess whether there are any statistically significant differences between the means of three or more independent (unrelated) groups. The F test is used within the context of an ANOVA to determine if the variability between group means is greater than the variability within the groups, which might suggest that the group means are different from each other.
The F statistic is calculated as the ratio of the variance calculated between the groups to the variance within the groups. These variances are sampled from an F distribution, which has two different degrees of freedom: one for the numerator (related to the number of groups) and one for the denominator (related to the number of observations minus the number of groups). The ANOVA table summarizes these statistics, including the F statistic.