11.37 Water Resistance in Textiles An experiment was conducted to compare the effects of four different chemicals, A, B, C, and D, in producing water resistance in textiles. A strip of material, randomly selected from a bolt, was cut into four pieces, and the four pieces were randomly assigned to receive one of the four chemicals, A, B, C, or D. This process was replicated three times, thus producing a randomized block design. The design, with moisture-resistance measurements, is shown in the figure (low readings indicate low moisture penetra- tion). Analyze the experiment using a method appropri- ate for this randomized block design. Identify the blocks and treatments, and investigate any possible differences in treatment means. If any differences exist, use an appropriate method to specifically identify where the differences lie. What are the practical implications for the chemical producers? Has blocking been effective in this experiment? Present your results in the form of a report.

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Illustration for Exercise 11.37 Blocks (bolt samples) 1 2 3 C D B 9.9 13.4 12.7 A B D 10.1 12.9 12.9 B A C 11.4 12.2 11.4 D C A 12.1 12.3 11.9