Question 1

Questions #1., #2, 8r #3 are to he DONE BY HAND 1. A researcher studied the effects of 3 experimental diets with varying fat content on the total lipid (fat) level 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 (in gmsflitre) after the subjects were on the diet for a xed period of time were recorded as follows. 1 Extremely Low 0.73 0.36 0.94 1.40 1.62 | 5.55 2 Fairly Low 0.67 0.75 0.31 1.32 1.41 | 4.96 3 Moderately Low 0.15 0.21 0.26 0.75 0.73 2.15 1.55 1.32 2.01 3.47 3.31 |12.66 SSTO = 2.75356 a) What was the blocking variable? Why do you think this variable was used? b) Give the model for the experiment What is the additional major asSumption needed here that is not needed for a 2 factor CRD? Carry out a rough graphical check of whether it is serioosly violated? c) Set up the ANOVA table and test whether the mean reductions in lipid level differ for the 3 diets. Use a = .01. d) If appropriate, cany out all pairwise comparisons between the 3 diet means. Use a family signicance level of at = .01. Summarize your results in words and in a graphical line summary. e) What is the relative efciency of the RED in this case? Would you recommend using the same blocks in a future experiment? Explain