STAT 3504 A5 Questions Solution

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1. A researcher studied the effects of 3 experimental diets with varying fat contents on the total lipid
(fat) content in plasma. Total lipid level is a widely used predictor of coronary heart disease. 15 male subjects who were within 20% of their ideal body weight were put into 5 groups of 3 according to age. Within each age group the 3 experimental diets were randomly assigned to the 3 subjects. The reductions in lipid level after the subjects were on the diet for a fixed period of time were recorded as follows.
Fat Content of Diet 15-24 25-34 Age
35-44 45-54 55-64
1 Extremely Low 0.73 0.86 0.94 1.40 1.62
2 Fairly Low 0.67 0.75 0.81 1.32 1.41
3 Moderately Low 0.15 0.21 0.26 0.75 0.78

a) What was the blocking variable? Why do you think this blocking variable was used?
b) Give the model for the experiment. What is the additional major assumption that is needed here? How could you do a very rough check of whether it was violated?
c) Given that SSTO = 2.75856 set up the ANOVA table and test whether the mean reduction in lipid level differs for the 3 diets. Use a = .01.
d) If appropriate, carry out all pairwise comparisons between the 3 diet means. Use a = .01. Summarize your results in words and in a graphical line summary.
e) What is the relative efficiency of the RBD in this case? Would you recommend using the same blocks in a future experiment? Explain.
Verify your results using SAS. The data is on my web page under ch2lpr07.dat col 1 has the response col 2 has "time elapsed since graduation" col 3 has training method

2. -An experiment was conducted to evaluate the effect of timing of nitrogen application to the soil
(early, optimum, late) and 2 different levels of nitrogen fertilizer (1 , 2). 3