: Provide a 95% confidence interval for the true Spearman rank correlation (ρs ).
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
Question: Provide a 95% confidence interval for the true Spearman rank correlation (ρs ).
The data is given as:
| 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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