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An ecologist is interested in the possible negative effects of marinas and boat mooring areas on the abundances of fish. Having read Hurlbert's paper about pseudoreplication, he decides to examine this by randomly choosing 4 marinas, 4 boat mooring areas, and 4 undisturbed locations for comparison, while also ensuring these three different types of locations were spatially interspersed. At each of these 12 locations, he then counted the number of fish over a set period of time underwater at each of five random sites.
a. Determine the experimental design associated with the dataset he obtained.
More specifically, identify the factors in this experimental design, whether they are fixed or random and their relationships with one another (crossed or nested).
b. Write down the model, being sure to define your notation and to articulate any model assumptions.
c. Write down the Source, degrees of freedom (df) and expectations for mean squares (EMS) for each term in the model that would be used for an analysis of variance of this dataset.
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