A randomized block design was used to compare the mean responses for three treatments. Four blocks of
Question:
A randomized block design was used to compare the mean responses for three treatments. Four blocks of three homogeneous experimental units were selected, and each treatment was randomly assigned to one experimental unit within each block. The data are shown in the following table, and a MINITAB ANOVA printout for this experiment is displayed below. LO4 Block Treatment 1 2 3 4 A 3.4 5.5 7.9 1.3 B 4.4 5.8 9.6 2.8 C 2.2 3.4 6.9 .3
a. Use the printout to fill in the entries in the following ANOVA table:
Source df SS MS F Treatments Blocks Error Total
b. Do the data provide sufficient evidence to indicate that the treatment means differ?
c. Do the data provide sufficient evidence to indicate that blocking was effective in reducing the experimental error? Use a = .05.
d. Use the MINITAB printout above to rank the treatment means at a = .05.
e. What assumptions are necessary to ensure the validity of the inferences made in parts
b, c, and d?
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