LSSGB: An ANOVA is the usual test for experiments including many treatments at different levels. The main reason to use ANOVA for significance testing is:

SELECT THE CORRECT ANSWERE

• Equality of sample means can be tested by comparing sample variances
• The F test is a measure of the variances
• Within treatment variation and between treatment variation can be totaled
• The t test is inadequate for testing beyond two means

ANWER

Equality of sample means can be tested by comparing sample variances

EXPLANATION

Options c and d are correct statements, but they do not define why ANOVAs are used. Option b is also close, in that all variation is accounted for in the analysis. Option a is a description of ANOVA.