The following represent data on the yield of soybean from an experiment in which soybean was grown in
4. (20pts.) The following represent data on the yield of soybean from an experiment in which soybean was grown in monoculture and in several intercropped plantings:
Soybean and Soybean and Soybean and Soybean
Short corn tall corn clover monoculture
1467.25 386.75 2258.75 1814.75
1164.50 423.00 2363.00 1509.75
1345.25 1912.50
Test the following hypotheses a priori using the appropriate experimentwise error rate control.
Ho: μmonoculture = μintercrop
Ho: μshort corn = μtall corn
Ho: μcorn intercrop = μclover intercrop
5. (20 pts) Observations on the abundance of Cameraria hamadryadella on oak trees was obtained by sampling each of 4 trees, in three vertical and 3 horizontal strata (9 observations per tree). The data file (mothnum.txt) or (mothnum.sav) contains the observations. Column 3 is (vertical stratum 1, horizontal stratum 1), column 4 is (vertical stratum 1, horizontal stratum 2), column 5 is (vertical stratum 1, horizontal stratum 3), column 6 is (vertical stratum 2, horizontal stratum 1), etc. Analyze these data, and interpret the tests you perform.
6. (20 pts) Two ecologists interested in the effects of the gall fly Resseliella clavula on flower production in dogwood trees collected data between 1988 and 1991 on flower production on galled and un-galled twigs of the same tree (n=15 trees). It had been hypothesized that galled twigs might actually produce more flowers than un-galled twigs because if the twig survived galling apical dominance might be reduced, and galled twigs might therefore produce more daughter twigs than un-galled twigs. Flowers are produced on terminal buds of individual twigs, so if more daughter twigs are produced then flowering might increase on galled twigs in the years after they were galled. On each tree, galled and un-galled twigs were marked and data on the number of flowers produced were collected on these twigs for the following 4 years. The data files (inflor.txt or inflor.sav) contain the relevant data. Column 1 has the tree number, and column 2 is year 1 galled, column 3 is year 1 un-galled, column 4 is year 2 galled, column 5 is year 2 un-galled, etc. Analyze these data and examine the treatment means to test the hypothesis that galling results in higher flower production.
7. (5 pts) In a study to compare the species richness of butterflies in urban and rural areas, an ecologist sampled butterflies in business districts, in city parks, on golf courses, and in open space preserves of the periphery of the urban area (n = 5 per habitat type). How would you analyze this data on species richness if the data is not normally distributed?
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