A two-way analysis of variance experiment with interaction was conducted. Factor A had three levels (columns), factor B had five levels (rows), and six observations were obtained for each combination. The results include the following sum of squares terms:
SST = 1558 SSA = 1008 SSB = 400 SSAB = 30
a. Construct an ANOVA table. (You may want to use Excel's F.DIST.RT and F.INV.RT functions to find the p-values and the critical values.)
b. At the 1% significance level, can you conclude that there is interaction between factor A and factor B?
c. At the 1% significance level, can you conclude that the factor A means differ?
d. At the 1% significance level, can you conclude that the factor B means differ?