In a field experiment designed to investigate the role of genetic diversity in ecosystems, Reusch et al. (2005) planted eelgrass in plots in a shallow estuary in the Baltic Sea. Eighteen eelgrass shoots were planted in every plot. Some plots (randomly chosen) were planted with only one eelgrass genotype, others were planted with three genotypes, and others were planted with six different eelgrass genotypes. At the end of the experiment, the total number of shoots was counted in each plot. The results from 32 plots are given in the following table:

a. What are the hypotheses for the test?

b. Carry out the test using ANOVA. Summarize your results in an ANOVA table.

c. What assumptions have you made?

d. Is this a fixed-effects or random-effects ANOVA? Explain your reasoning.

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Treatment (number of genotypes) 11 33 Number of shoots at end of experiment 11.11, 14.14, 21.21, 27.27, 28.28, 30.30, 32.32, 36.36, 38.38, 49.49, 61.61, 7171 20.20, 35.35, 36.36, 41.41, 46.46, 47.47, 52.52, 53.53, 58.58, 6767