Function Anova-One-Way-Groups

Part of:

package cl-mathstats
( anova-one-way-groups < data > &optional < scheffe-tests-p > < confidence-intervals > )

Performs a one-way analysis of variance (ANOVA) on the data,&#39; which should<br> be a sequence of sequences, where each interior sequence is the data for a<br> particular group. Furthermore, each sequence should consist entirely of<br> numbers, and each should have at least 2 elements.<br> <br> The significance of the result indicates that the group means are not all equal;<br> that is, at least two of the groups have significantly different means. If<br> there were only two groups, this would be semantically equivalent to an<br> unmatched, two-tailed t-test, so you can think of the one-way ANOVA as a<br> multi-group, two-tailed t-test.<br> <br> This function returns five values: 1. an ANOVA table; 2. a list a group means;<br> 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.