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HW - Math Problem Example

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Statistical Reasoning in Public Health 2011: HW#2 1. Question one a. 1. What is the estimated unadjusted mean difference in hourly wages for females as compared to males? Females earn 2.1 dollars less than males per hour when other variable s are not taken into account…
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Download file to see previous pages b. 1. What is the estimated adjusted mean difference in hourly wages for females as compared to males, adjusting for age, union membership, and job type? When age, Union Membership and type of job were taken into consideration, it was found that women earned approximately 1.9 dollars lesser per hour then men did in 1985. 2. Report a 95% confidence interval for this difference. The 95% CI for this difference ranges from -2.76 to -1.04. 3. Write a sentence interpreting both the adjusted mean difference and the corresponding confidence interval. When considering other variables like age, union membership and job type, women in 1985 earned approximately 1.9 dollars less than the men did; and 95% of the times, the actual values for this estimate would fall between 2.76 dollars to 1.04 dollars less then what the men earned on an average. 2. Comment on any disparities in the estimated mean difference in hourly wages between males and females in the four models whose results are listed above. Does it appear from these results that the wage/gender relationship in confounded by other worker characteristics such as worker age, membership in a union, and job type? Why or why not? Across the four models; it is evident that woman did earn lesser than men did per hour in 1985. This effect was seen regardless of the variables included in the study. Adjusting for age increased the discrepancy slightly; while adjusting for job type and union membership in addition to age decreased the discrepancy between the average wages of men and woman slightly. In spite of this, it is difficult to say that these variables play a very significant role; since the differences seen were quite small; and the confidence intervals for the four models overlapped quite a lot. It may be said that variable like age, union membership and job type did affect the discrepancy in the average wages of men and women; but this effect was quite small. 3. Use the results from Model D to estimate the mean difference in hourly wages for females, age 42, who are union members with manufacturing jobs, as compared to 42-year male union members with manufacturing jobs. (Note that you have already done this in a previous portion of the problem – I am just trying to “drill into you” how to interpret multiple linear regression coefficients.) After controlling for Union membership, type of job and age, it was found that women earned on an average, 1.9 dollars less than men in 1985. 4. 1. Does the given information allow you to assess whether the relationship between hourly wages and sex is modified by age? By itself, the data available is not enough to assess if the relationship between hourly wages and sex is modified by age. 2. If not, what additional results would you need to see? We would need information on the significance testing of the F values for the regression analyses in order to estimate whether age does truly affect the relationship between hourly wages and sex; or whether the observed effect is simply a function of the sampled data. 2. Question two a) 1. What is the estimated adjusted association between Diastolic Blood Pressure (DBP) and ...Download file to see next pagesRead More
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