# FactorinR - Factor in R Turkey data These data are from an...

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Factor in R Turkey data: These data are from an experiment to compare sources of an essential amino acid called methionine in turkey diets. Sixty pens of turkeys received a similar diet, supplemented with methionine from one of three sources at one of five doses. In the data below, A is the amount; Gain is the average weight gain in the pen; S is the source number, m is the number of pens needed to get the average, and SD is the standard deviation of the m pens. > library(alr3) > data(turkey) > turkey A Gain S m SD 1 0.00 623.0 1 10 19.459359 2 0.04 680.2 1 5 7.190271 3 0.10 721.4 1 5 21.454603 4 0.16 750.4 1 5 17.487138 5 0.28 789.4 1 5 14.673105 6 0.04 672.2 2 5 26.508489 7 0.10 709.2 2 5 14.669697 8 0.16 731.2 2 5 12.173742 9 0.28 778.2 2 5 25.704085 10 0.04 668.4 3 5 24.490815 11 0.10 715.6 3 5 9.044335 12 0.16 732.0 3 5 17.705931 13 0.28 794.0 3 5 19.287302 These data are summarized into groups, and so (1) we will need to use weights and fitting and (2) we will have a test for lack of fit based on pure error. For this first part of the analysis we will ignore the ten pens with no supplement added, the first row of the file, but will include it later > plot(Gain ~ factor(S), turkey) 1 2 3 650 700 750 800 factor(S) Gain

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> m0 <- lm(Gain ~ factor(S), turkey, weights = m) > summary(m0) Call: lm(formula = Gain ~ factor(S), data = turkey, weights = m) Residuals: Min 1Q Median 3Q Max -236.85 -39.58 10.06 117.39 204.60 Coefficients: Estimate Std. Error t value Pr(>|t|)
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