One of the goals of the Edinburgh Artery Study was to investigate the risk facto

Question

One of the goals of the Edinburgh Artery Study was to investigate the risk factors for peripheral arterial disease among persons 55 to 74 years of age. You wish to compare mean LDL cholesterol levels, measured in mmol/liter, among four different populations of subjects: patients with intermittent claudication or interruptions in movement, those with major asymptomatic disease, those with minor asymptomatic disease, and those with no evidence of disease at all. Samples are selected from each population with the following summary statistics: PLEASE SHOW HOW TO WORK OUT PROBLEM!! Thank you.

Sample size

Sample mean

Sample SD

Intermittent claudication

25

6.22

1.62

Major asymptomatic disease

26

5.81

1.43

Minor asymptomatic disease

60

5.77

1.24

No disease

270

5.47

1.31

Perform a hypothesis test to compare the LDL cholesterol levels of the four groups at the 0.05 significance level.

Sample size

Sample mean

Sample SD

Intermittent claudication

25

6.22

1.62

Major asymptomatic disease

26

5.81

1.43

Minor asymptomatic disease

60

5.77

1.24

No disease

270

5.47

1.31

Explanation / Answer

H0: there is no difference between means of four groups

H1: there is a difference between means of four groups

alpha:5%

test statistic:

We use one way ANOVA

From Excel

Hence F cal=3.208

Conclusion:

P value=0.023 < 0.05 we reject the null hypotheis.

hence there is a difference between means of four groups

SS df MS F p Between: 17.013 3 5.671 3.208 0.023 Within: 666.457 377 1.768 Total: 683.47 380

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