Suppose researchers are interested in the relationship between periodontal disea
ID: 3389748 • Letter: S
Question
Suppose researchers are interested in the relationship between periodontal disease and hypertension. In their particular analysis, the researchers have decided through confirmed medical records to use dichotomous variables (Y/N) for both outcome and predictor. In order to best address the relationship in their dataset, the researchers have included a few variables in their final multiple regression model. The following is a computerized output for the model that they intend to use in their analysis.
Analysis of Maximum Likelihood Estimates
Parameter
DF
Estimate
Standard
Error
Wald
Chi-Square
Pr > ChiSq
Intercept
1
-6.8430
0.4746
207.8959
<.0001
Periodontal Disease
1
1
-0.2250
0.1544
2.1227
0.1451
BMIcontinuous
1
0.0635
0.0115
30.3765
<.0001
Agecontinuous
1
0.0891
0.00475
351.7248
<.0001
Alcoholic Drinks/Day
2
1
0.5619
0.1657
11.5042
0.0007
Cigarettes/Day
2
1
0.4279
0.2138
4.0056
0.0454
A) Write out the final model in symbols using the beta coefficients provided above.
B) Which of the variables included in the model significantly impact the outcome?
C) Suppose the relationship between periodontal disease and hypertension was significant in the bivariate linear regression model that preceded this. What can be said about the relationship between the outcome and exposure when factoring in the other variables?
Analysis of Maximum Likelihood Estimates
Parameter
DF
Estimate
Standard
Error
Wald
Chi-Square
Pr > ChiSq
Intercept
1
-6.8430
0.4746
207.8959
<.0001
Periodontal Disease
1
1
-0.2250
0.1544
2.1227
0.1451
BMIcontinuous
1
0.0635
0.0115
30.3765
<.0001
Agecontinuous
1
0.0891
0.00475
351.7248
<.0001
Alcoholic Drinks/Day
2
1
0.5619
0.1657
11.5042
0.0007
Cigarettes/Day
2
1
0.4279
0.2138
4.0056
0.0454
Explanation / Answer
A)
hypertension=-6.8430 - 0.2250Periodontal Disease + 0.0635BMIcontinuous + 0.0891Agecontinuous + 0.5619Alcoholic Drinks/Day + 0.4279Cigarettes/Day
B)
Periodontal Disease and Cigarettes variables included in the model significantly impact the outcome.
C)
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