The observations shown in the accompanying table were drawn from a randomized block design with no interaction.

a. Calculate SST, SSA, SSB, and SSE.

b. Calculate MSA, MSB, and MSE.

c. Construct an ANOVA table.

d. At a 1% significance level, can you conclude that the column means differ?

e. At a 1% significance level, can you conclude that the row means differ? That is, is blocking necessary?
 

Factor A Factor B 1 2 x for Factor B 1 15 12 10.6 2 2 10 8 6.7 3 -9 -2 -3.7 4 -3 -14 -8 -8.3 x for Factor A 1.0 0.5 2.5 *= 1.33