A researcher studied the effects of three experimental diets with varying fat contents on the total lipid...

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A researcher studied the effects of three experimental dietswith varying fat contents on
the total lipid (fat) level in plasma. Total lipid level is awidely used predictor of coronary heart disease.
Fifteen male subjects who were within 20 percent of their idealbody weight were grouped into five
blocks according to age. Within each block, the threeexperimental diets were randomly assigned to the
three subjects. Data on reduction in lipid level (in grams perliter) after the subjects were on the diet for
a fixed period of time follow.
Fat Content of Diet
Block j=1 j=2 j=3
i Extremely Low Fairly Low Moderately Low
1 Ages 15-24 .73 .67 .15
2 Ages 25-34 .86 .75 .21
3 Ages 35-44 .94 .81 .26
4 Ages 45-54 1.40 1.32 .75
5 Ages 55-64 1.62 1.41 .78
How would I obtain an analysis of variance table and testwhether or not the mean reductions in lipid levels differ for thethree diets using alpha(a = .05)?

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3.7 Ratings (704 Votes)

Since the problem is to determinewhether or not the mean reductions in lipid levels differ for thethree diets we should use TWOWAY ANOVA to solve this I have usedR to solve this problemR CODETWO WAYANOVATwowayaovLipidDietAgedatadatasummaryTwowayOUTPUTHYPOTHESISThe hypothesis is given bya The mean reduction in lipid levels for three different diets aresame The mean reduction in See Answer

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Block		j=1	j=2	j=3
i		Extremely Low	Fairly Low	Moderately Low
1	Ages 15-24	.73	.67	.15
2	Ages 25-34	.86	.75	.21
3	Ages 35-44	.94	.81	.26
4	Ages 45-54	1.40	1.32	.75
5	Ages 55-64	1.62	1.41	.78