Question

In: Statistics and Probability

EPIDEMIOLOGY 5 c) Suppose that an investigator is concerned with adverse pregnancy outcomes including gestation diabetes,pre-...

EPIDEMIOLOGY

5 c) Suppose that an investigator is concerned with adverse pregnancy outcomes including gestation diabetes,pre- eclampsia and pre-term labor. The study involved 8032 women who provided demographic and clinical data in the study sample,22 (2.7%) women developed pre-eclampsia ,35(4.2%) develop gestational diabetes and 40 (4.8%) develop pre-term labor.Suppose we wish to assess whether there are differences in each of these adverse pregnancy outcomes by race/ethnicity,adjusted for maternal age .Three separate logistic regression analyses were conducted relating each outcome,considered separately,to the three dummy or indicators variables reflecting mothers race and mothers`s age in years.The results are below.

Outcome Pre-eclampsia Regression coefficient Chi-square p-value Odds ratio (95% CI)
Intercept -3.066 4.518 0.0335
Black race 2.191 12.640 0.0004 8.948 (2.673,29.949)
Hispanic race -0.1053 0.0325 0.8570 0.9 ( 0.286,2.829)
Other race 0.0586 0.0021 0.9046 1.060(0.104,3.698)
Mother`s age -0.0252 0.3574 0.5500 0.975(0.898,1.059)
Outcome Pre-eclampsia Regression coefficient Chi-square p-value   Odds ratio (95% CI)   
Intercept -5.823 22.968 0.0001
Black race 1.621 6.660 0.0099 5.056(1.477,17.312)
Hispanic race 0.581 1.766 0.1839 1.787 (0.759,4.207)
Other race 1.34 5.197 0.015 3.848 (1.299,11.395)
Mother`s age 0.071 4.314 0.0378 1.073(1.004,1.147)
Outcome Pre-eclampsia Regression coefficient Chi-square p-value   Odds ratio (95% CI)   
Intercept -1.443 1.602 0.2056
Black race -0.082 0.015 0.9039 0.921(0.2443,3.483)
Hispanic race -1.564 9.497 0.0021 0.209 (0.77,0.566)
Other race 0.548 1.124 0.2890 1.730 (0.628,4.767)
Mother`s age -0.037 1.198 0.2737 0.963(0.901,1.030)

Interpret the results of the three separate logistic regression analysis

Solutions

Expert Solution

Model 1:

We comment all the model using the significant p-value

In the first model Back race has significant contribution in the prediction of the response

If we increase 1 unit in the black race then the probability of occurring the response is increased by the 2.19%.

Model 2:

We comment the entire model using the significant p-value

In the first model Back race, other race and mothers age have significant contribution in the prediction of the response

If we increase 1 unit in the black race then the probability of occurring the response is increased by the 1.62%.

If we increase 1 unit in the other race then the probability of occurring the response is increased by the 1.34%.

If we increase 1 unit in the mother age then the probability of occurring the response is increased by the 0.071%.

Model 3:

We comment all the model using the significant p-value

In the first model Back race has significant contribution in the prediction of the response

If we increase 1 unit in the black race then the probability of occurring the response is decreses by the 0.08%.

Thanks


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