Question: Suppose an experiment employing a randomized block design has four treatments and nine blocks, for a total of 4 9 = 36 observations. Assume

Suppose an experiment employing a randomized block design has four treatments and nine blocks, for a total of 4 × 9 = 36 observations. Assume that the Total Sum of Squares for the response is SS(Total) = 500. For each of the following partitions of SS(Total), test the null hypothesis that the treatment means are equal and test the null hypothesis that the block means are equal. Use α = .05 for each test.
a. The Sum of Squares for Treatments (SST) is 20% of SS(Total), and the Sum of Squares for Blocks (SSB) is 30% of SS(Total).
b. SST is 50% of SS(Total), and SSB is 20% of SS(Total).
c. SST is 20% of SS(Total), and SSB is 50% of SS(Total).
d. SST is 40% of SS(Total), and SSB is 40% of SS(Total).
e. SST is 20% of SS(Total), and SSB is 20% of SS(Total).

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a SST 2500 100 SSB 3500 150 SSE SS Total SST SSB 500 100 150 250 MST SSTk 1 1004 1 333333 MSB SSBb 1 1509 1 1875 MSE SSEn k b 1 25036 4 9 1 25024 104167 F T MSTMSE 333333104167 320 F B MSBMSE 1875 104... View full answer

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