In each of the following situations, identify whether the design is a completely randomized design, randomized block design, or Latin square. If there is a factorial structure of treatments, specify whether it has a two-factor or three-factor structure. If the experiment’s measurement unit is different from the experimental unit, identify both.
a. The 48 treatments comprised 3, 4, and 4 levels of fertilizers N, P, and K, respectively, in all possible combinations. Five peanut farms were randomly selected and the 48 treatments assigned at random at each farm to 48 plots of peanut plants.
b. Ten different software packages were randomly assigned to 30 graduate students. The time to complete a specified task was determined.
c. Four different glazes are applied to clay pots at two different thicknesses. The kiln used in the glazing can hold eight pots at a time, and it takes 1 day to apply the glazes. The experimenter wants eight replications of the experiment. Because the conditions in the kiln vary somewhat from day to day, the experiment is conducted over an 8-dayperiod. Each combination of a thickness and type of glaze is randomly assigned to one pot in the kiln each day.
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