Unformatted text preview: cell means null hypothesis. If our alternative hypothesis is H a : μ 1 = μ 3 = μ 4 = 60; μ 2 = μ 5 = 70, and σ 2 = 30, what sample size would we need to achieve our target power? Repeat the calculation for σ 2 = 40, 50, and 60. Comment. 4. Assume that the density of ﬁddler crab burrows is being tested for four diﬀerent types of habitat using a CRD. The research wants to conduct a power analysis on the contrast between the mean number of burrows in the ﬁrst habitat against the average of the mean number of burrows in the remaining three habitats. Suppose that the number of burrows has a variance of 20 and the researcher is testing H o : μ 1-μ 2 + μ 3 + μ 4 3 = 0 using a α = . 05 test. Summarize the size of the contrasts that the researcher will be able to detect with 80% power. 1...
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- Spring '08
- Null hypothesis, researcher, orthogonal polynomial contrasts, mutually orthogonal contrasts, tree soils