The data shown here are observations collected from an experiment that compared three treatments, A, B, and C, within each of five blocks, using a randomized block design:
Block | ||||||
Treatment | 1 | 2 | 3 | 4 | 5 | Total |
A | 2.1 | 2.6 | 1.9 | 3.2 | 2.7 | 12.5 |
B | 3.4 | 3.8 | 3.6 | 4.1 | 3.9 | 18.8 |
C | 3.0 | 3.6 | 3.2 | 3.9 | 3.9 | 17.6 |
Total | 8.5 | 10.0 | 8.7 | 11.2 | 10.5 | 48.9 |
MINITAB output for Exercise
Two-way ANOVA: Response versus Trts, Blocks
Use the MINITAB output to analyze the experiment. Investigate possible differences in the block and/or treatment means and, if any differences exist, use an appropriate method to specifically identify where the differences lie. Has blocking been effective in this experiment? Present your results in the form of a report.
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