Question: Logging in the rain forest: contrasts. Figure 28.2 gives basic ANOVA output for the study of the effects of logging described in Example 28.1.We might

Logging in the rain forest: contrasts. Figure 28.2 gives basic ANOVA output for the study of the effects of logging described in Example 28.1.We might describe the overall effect of logging by comparing the mean species count for unlogged plots

(Group A) with the average of the mean counts for the two groups of logged plots

(Groups B and C).

(a) What population contrast L expresses this comparison?

(b) Starting from the output in Figure 28.2, give the sample contrast that estimates L and its standard error.

(c) Is there good evidence that the mean species count in unlogged plots is higher than the average for the two groups of logged plots? State hypotheses in terms of the population contrast L and carry out a test.

(d) How much higher is the mean count in unlogged plots than the average for the two groups of unlogged plots? Give a 95% confidence interval.

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