STA 6208 – Homework #4 – Due 3/16/16
Part 1: Oehlert , Chapter 9: P2,Q1,2 Chapter 11: E1,2,5, P1,2, Q1,2,3
Part2: Analyze the Coast guard ethics dataset, with 2 factors: gender and officer. Fit the model using either proc glm in
sas or the aov function in R. Also fit a regression model, using the restrictions:
2
2
2
2
i 1
j 1
i 1
j 1
i    j    ij    ij  0 and show they give the same analysis based on the partial sums of squares
Part 3: Analyze the wool friction dataset, with3 treatments (fixed), 3 pH levels (fixed) and 3 runs (random) nested within
treatments (but crossed with pH). Write out the model, and give the Analysis of Variance and test for all relevant effects.
Dataset: woolfrict1.dat
Source: J. Lindberg(1953). "Relationship Between Various Surface Properties
of Wool Fibers: Part II: Frictional Properties," Textile Research Journal,
Vol. 23, pp. 225-237.
Description: Results of Experiment measuring top shrinkage under 3
treatments (untreated, ether-extracted, ether/alcohol extracted),
measured at 3 levels of pH (2, 6, 10),
over 3 experimental runs (nested within treatments).
Variables/Columns
Run
8
Treatment
16
/* 1=untrt, 2=ether, 3=ether/alcohol
pH level
24
Top Shrinkage
29-32
*/