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A groundwater specialist is interested in levels of sulphur in three adjacent canyons. The specialist has the resources to drill wells in each canyon and chemically analyse 20 samples from each well for sulphur content. She is interested in detecting differences in sulphur concentration between the canyons in question. Identify the experimental units, response variable, factor(s), levels of each factor and treatments in this example in terms of the problem.
A chemist wishes to test the effect of four chemical agents on the tensile strength of a particular type of cloth, measured in grams per denier (gpd). The raw cloth is delivered in bolts, and one expects significant tensile strength variability between bolts. What type of experimental design should be used? If 24 samples of each treatment will be taken, but each bolt only supplies 12 samples total, then how should the experiment be designed in order to eliminate the effect of bolt variability?