Function Anova-One-Way-Groups
(
anova-one-way-groups < data > &optional < scheffe-tests-p > < confidence-intervals > )
Performs a one-way analysis of variance (ANOVA) on the `data,' which should
be a sequence of sequences, where each interior sequence is the data for a
particular group. Furthermore, each sequence should consist entirely of
numbers, and each should have at least 2 elements.
The significance of the result indicates that the group means are not all equal;
that is, at least two of the groups have significantly different means. If
there were only two groups, this would be semantically equivalent to an
unmatched, two-tailed t-test, so you can think of the one-way ANOVA as a
multi-group, two-tailed t-test.
This function returns five values: 1. an ANOVA table; 2. a list a group means;
3. either a Scheffe table or nil depending on `scheffe-tests-p'; 4. an
alternate value for SST; and 5. a list of confidence intervals in the form
`(,mean ,lower ,upper) for each group, if `confidence-intervals' is a number between
zero and one, giving the kind of confidence interval, such as 0.9. The fourth
value is only interesting if you think there are numerical accuracy problems; it
should be approximately equal to the SST value in the ANOVA table. This
function differs from `anova-one-way-variables' only in its input
representation. See the manual for more information.