Calculate the 95% confidence interval for the Odds Ratio for the hemoglobin level. Be sure to state conclusion.
Calculate the 95% confidence interval for the Odds Ratio for the hemoglobin level. Be sure to state conclusion.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Calculate the 95% confidence interval for the Odds Ratio for the hemoglobin level. Be sure to state conclusion.
Transcribed Image Text:A researcher conducted a study about the hemoglobin levels among menopausal and non-menopausal women. For this purpose, data from 20 women were collected, including Hemoglobin Level (g/dl), Age, and Menopausal Status (yes/no). The researcher conducted a multiple logistic regression analysis to examine the effects of hemoglobin level and age on menopausal status. The results of the analysis are given in the table below.
**Table: Logistic Regression Analysis Results**
| Variable | Coefficient Estimate | Standard Error | p-value |
|------------------|-----------------------|----------------|---------|
| Intercept | -15.94 | 8.35 | |
| Hemoglobin level | -2.61 | 0.89 | 0.003 |
| Age | 1.03 | 0.37 | 0.011 |
**Explanation of the Table:**
- **Intercept:** The coefficient estimate for the intercept is -15.94 with a standard error of 8.35. This is the expected value when all other variables are zero.
- **Hemoglobin Level:** The coefficient for hemoglobin level is -2.61, with a standard error of 0.89 and a p-value of 0.003. This suggests a statistically significant negative effect of hemoglobin levels on menopausal status. A lower hemoglobin level is associated with a higher likelihood of being menopausal.
- **Age:** The coefficient for age is 1.03, with a standard error of 0.37 and a p-value of 0.011. This indicates a statistically significant positive effect of age on menopausal status, meaning as age increases, so does the likelihood of being menopausal.
The p-values for both hemoglobin level and age indicate statistically significant relationships at conventional significance levels.
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