A randomized block design has three levels of factor A and five levels of factor

Question

A randomized block design has three levels of factor A and five levels of factor B where six replicates for each combination are examined. The results include the following sum of square terms:

SST = 1,572 SSA = 1,038 SSB = 346 SSAB = 33 Use Table 4

Construct an ANOVA table.

A randomized block design has three levels of factor A and five levels of factor B where six replicates for each combination are examined. The results include the following sum of square terms:

SST = 1,572 SSA = 1,038 SSB = 346 SSAB = 33 Use Table 4

a.

Construct an ANOVA table.

Explanation / Answer

here level of A =a =3

level of B=b=5

and replicates =c=6

variation sum of square(SS) degree of freedom(df) mean sum of square=SS/df F value A 1038 a-1 =2 519.000 MSA/MSE=251.088 B 346 b-1 =4 86.500 MSB/MSE=41.855 AB 33 (a-1)(b-1)=8 4.125 MSAB/MSE=1.996 Error 155 ab(c-1) =75 2.067 total 1572 abc-1=89

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