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A single factor experiment was performed for four levels of the factor so that each of the three replicates constituted a single block. The following

A single factor experiment was performed for four levels of the factor so that each of the three replicates constituted a single block. The following results of the ANOVA analysis are known: SSTreatments = 600, SSBlocks = 300, SST = 1000.

a) What was the value of SSE?

b) How many runs were performed?

c) What was the number of degrees of freedom for SSTreatments?

d) What was the value of MSE?

e) What was the value of the test statistic for the F-test on the significance of the main factor?

f) What would have been the value of the test statistic for F-test on the significance of the main factor had one forgotten to block in the same experiment?

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