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HW4_STA5166_#2_old

# HW4_STA5166_#2_old - 4.2 a What is this design called What...

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4.2 a) What is this design called? What characteristics does it have? The problem is a Latin-Square experimental design The study consists of 6 treatments (A-F) of “Volunteers,” 6 blocks (I-VI) of “Positions on arm,” and 6 blocks (#1-6) of “Subjects.” b) How can such a design be randomized? Why? 1. Randomly select one of the standard 6X6 Latin Square 2. Randomly permute the rows and columns of chosen square. 3. Randomly assign the 6 treatments to the 6 letters of treatments( A-F) c. > Prob4.2=read.table(file="E:/FSU-FALL07-School/Fall07-school/STA5166/BHH2- Data/prb0402.dat", header=TRUE) ##change variables to characters > new2 <- edit(Prob4.2) > fit1=aov(y~position +subject+treatment, data=new2) > fit1 Call: aov(formula = y ~ position + subject + treatment, data = new2) Terms: position subject treatment Residuals Sum of Squares 219.917 5407.917 250.250 1708.667 Deg. of Freedom 5 5 5 20 Residual standard error: 9.243015 Estimated effects may be unbalanced > > summary(fit1) Df Sum Sq Mean Sq F value Pr(>F) position 5 219.9 44.0

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