: Provide a 95% confidence interval for the true Spearman rank correlation (ρs ).

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
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The assessment of diet is an important exposure for many disease outcomes. However, there is often much imprecision in dietary recall. In one study, 70-to 79-year-old women were asked about the preschool diet of their children (ages 2−4) using a food frequency questionnaire (FFQ). A unique aspect of the study is that simultaneous diet record data exist on the same children recorded in real time by their mothers when they were ages 2−4 and their mothers were 20 to 40 years old. The data in Table 11.36 were available on average servings of margarine per week. 

ID FFQ DR
340 7 0
399  7 0.5
466 0 0
502 0 0
541 0 0
554 7 2.5
558 7 3
605 7 0.5
611 21 3.7
618 0 2.5
653 21 4.1
707 7 8.5

The distribution of dietary intake for individual food items is often not very normally distributed. An alternative measure of correlation between the FFQ and DR that does not depend on the assumption of normality is the Spearman rank correlation (rs ). For the margarine data, rs = .679. n=12

Question: Provide a 95% confidence interval for the true Spearman rank correlation (ρs ).

 

Expert Solution
Step 1

The data is given as:

ID FFQ:x DR:y
340 7 0
399 7 0.5
466 0 0
502 0 0
541 0 0
554 7 2.5
558 7 3
605 7 0.5
611 21 3.7
618 0 2.5
653 21 4.1
707 7 8.5

 

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But the problem has provided us with the Spearman rank correlation of 0.679. Shouldn't I use that as my r value to calculate 95% CI?

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