A researcher c ond ucts a ra n d o m iz e d block e x p e rim e n t w ith interaction and provides th e follow ing ANOVA table.

ANOVA Source of Variation SS df MS F p-value Sample 30.827 1 30.827 11.690 0.0031 Columns 169.861 2 84.930 32.208 1.13E-06 Interaction 4.241 2 2.120 0.804 0.4629 Within 47.465 18 2.637 Total 252.393 23

a. At the 1 % significance level, can you conclude that there is interaction betw een the tw o factors?

b. Are you able to conduct tests based on the main effects?

If yes, conduct these tests at the 1% significance level. If no, explain. P-69 A p p l i c a t i o n s