R COMMANDER OUTPUT R COMMANDER OUTPUT meat = chicken 32 o 38 o Shapiro-Wilk normality test data: triglyceride 40 W = 0.90761, p-value = 0.1245 meat = fish Shapiro-Wilk normality test data: triglyceride W = 0.87041, p-value = 0.03421 meat = pork Shapiro-Wilk normality test data: triglyceride chicken fish pork W = 0.93761, p-value = 0.3533 meat R COMMANDER OUTPUT Levene's Test for Homogeneity of Variance (center = "mean") Df F value Pr(>F) group 2 0.7724 0.4683 42 a. Discuss and interpret the results obtained in testing the assumptions of the F-test. b. Which between a parametric test or a non-parametric test would you recommend? ngycende OL

MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
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Pork is the most preferred meat by a lot of meat consumers. Studies have shown that diets
high in pork protein have favorable effects on a person's body composition. However, it is
unclear whether these effects are specific to pork or whether consumption of other high protein
meat diets have the same benefit.
To investigate this, the nutritionist of a private diet center chose a random sample of
overweight clients to participate in a 3-month program where each person is required to follow
a restricted high-protein diet program with only one type of meat (chicken, fish, or pork). Before
and after the program, the triglyceride level and weight of each client were recorded. Suppose
the nutritionist asks your statistical advice for this study.
1. The nutritionist wants to study whether the mean change in triglyceride level of the clients differs among
the three meat diets. She then asked your statistical advice considering that you have enough knowledge
that using a parametric test specifically the F-test in Analysis of Variance (ANOVA) can answer her
objective. Using R Commander, the following results for the test of the assumptions were generated.
R COMMANDER OUTPUT
meat = chicken
meat = fish
meat = pork
38. 320
032
043
-- --
-1
1
-1
-1
1
norm quantiles
norm quantiles
norm quantiles
triglyceride
10 20 30 40 50
triglyceride
10 20 30 40 50
triglyceride
10 20
40 50
Transcribed Image Text:Pork is the most preferred meat by a lot of meat consumers. Studies have shown that diets high in pork protein have favorable effects on a person's body composition. However, it is unclear whether these effects are specific to pork or whether consumption of other high protein meat diets have the same benefit. To investigate this, the nutritionist of a private diet center chose a random sample of overweight clients to participate in a 3-month program where each person is required to follow a restricted high-protein diet program with only one type of meat (chicken, fish, or pork). Before and after the program, the triglyceride level and weight of each client were recorded. Suppose the nutritionist asks your statistical advice for this study. 1. The nutritionist wants to study whether the mean change in triglyceride level of the clients differs among the three meat diets. She then asked your statistical advice considering that you have enough knowledge that using a parametric test specifically the F-test in Analysis of Variance (ANOVA) can answer her objective. Using R Commander, the following results for the test of the assumptions were generated. R COMMANDER OUTPUT meat = chicken meat = fish meat = pork 38. 320 032 043 -- -- -1 1 -1 -1 1 norm quantiles norm quantiles norm quantiles triglyceride 10 20 30 40 50 triglyceride 10 20 30 40 50 triglyceride 10 20 40 50
R COMMANDER OUTPUT
R COMMANDER OUTPUT
meat = chicken
32 o
38 o
Shapiro-Wilk normality test
data:
triglyceride
W = 0.90761, p-value = 0.1245
meat = fish
Shapiro-Wilk normality test
data:
triglyceride
W = 0.87041, p-value = 0.03421
10
meat =
pork
Shapiro-Wilk normality test
data:
triglyceride
fish
chicken
pork
W = 0.93761, p-value = 0.3533
meat
R COMMANDER OUTPUT
Levene's Test for Homogeneity of Variance (center = "mean")
Df F value Pr(>F)
2 0.7724 0.4683
group
42
a. Discuss and interpret the results obtained in testing the assumptions of the F-test.
b. Which between a parametric test or a non-parametric test would you recommend?
triglyceride
OS
Transcribed Image Text:R COMMANDER OUTPUT R COMMANDER OUTPUT meat = chicken 32 o 38 o Shapiro-Wilk normality test data: triglyceride W = 0.90761, p-value = 0.1245 meat = fish Shapiro-Wilk normality test data: triglyceride W = 0.87041, p-value = 0.03421 10 meat = pork Shapiro-Wilk normality test data: triglyceride fish chicken pork W = 0.93761, p-value = 0.3533 meat R COMMANDER OUTPUT Levene's Test for Homogeneity of Variance (center = "mean") Df F value Pr(>F) 2 0.7724 0.4683 group 42 a. Discuss and interpret the results obtained in testing the assumptions of the F-test. b. Which between a parametric test or a non-parametric test would you recommend? triglyceride OS
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