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# hw9 - Stat 511 Due 5 pm Tuesday Mar 29 Homework 9 Spring...

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Stat 511 Homework 9 Spring 2011 Due: 5 pm, Tuesday Mar 29 1. Last homework, I described the New Zealand pasture fertilization study. The data are in ryegrass.txt. This week, we analyze the data. (a) Last week, you derived the E MS for variety. Some of the other E MS are: Effect E MS Block*Variety σ 2 s + 2 σ 2 m Fert. σ 2 s + Q () Fert. × Variety σ 2 s + Q () Residual σ 2 s where Q () indicates a quadratic form involving only fixed effects. Construct the ANOVA table and test the main effects of variety, fertilization, and the interaction. (b) Pastures will be seeded with a single variety of ryegrass. Hence, land managers are especially interested in the simple effects of fertilization for each variety (i.e. the difference between heavy and average manure separately for each variety). Estimate the increase in dry matter production caused by heavy manuring Report each simple effect, its s.e. and a p-value for the test of effect of fertilization on that variety.

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