Question: Below is the output from a logistic regression model with Readmitted as the dependent variable and all other variables included as potential independent variables. The
Below is the output from a logistic regression model with Readmitted as the dependent variable and all other variables included as potential independent variables. The logistic regression was refined using backwards elimination based on p-values with a 5% significance threshold. Answer the following questions based on this output.
- Interpret the coefficient for Num_Procedures. Translate the odds ratio and explain in simple English what it means.
- What do the coefficient and odds ratio for the indicator variable Normal_Steady tell us? Interpret in plain English. Make sure to carefully read the variable description of the variable Normal_Steady.
| Variable Name | Description |
| Unique Patient Identifier | |
| Patient_Id | Unique patient identification number |
| Encounter_Id | Each hospital admission's unique identification number |
| Dependent Variable | |
| Readmitted | Whether the patient was readmitted within 30 days of this discharge to an inpatient hospital facility (1=Yes, 0=No) |
| Patient Demographics | |
| Race | Race of the patient (African American, Asian, Caucasian, Hispanic, and Other) |
| Gender | Gender of the patient (Male, Female, Other/Unknown) |
| Age | Age group of the patient |
| Patient History | |
| Time_Hospital | Number of days spent in hospital in previous 12 months window |
| Num_Procedures | Number of medical procedures performed on the patient in previous 12 months window |
| Number_Diagnoses | Number of medical diagnoses determined on the patient in previous 12 months window |
| Number_Outpatient | Number of outpatient visits made by the patient to a hospital in previous 12 months |
| Number_Emergency | Number of emergency room visits made by the patient in previous 12 months |
| Number_Inpatient | Number of inpatient visits made by the patient to a hospital in previous 12 months |
| Visit Details | |
| High_Steady | Indicator suggesting whether patient had high HbA1C and whether compliance with diabetes medication was steady, No HbA1C test performed is base case (see note below) |
| High_Down | Indicator suggesting whether patient had high HbA1C and whether compliance with diabetes medication was down, No HbA1C test performed is base case (see note below) |
| Normal_Steady | Indicator suggesting whether patient had normal HbA1C and whether compliance with diabetes medication was steady, No HbA1C test performed is base case (see note below) |
| Normal_Down | Indicator suggesting whether patient had normal HbA1C and whether compliance with diabetes medication was down, No HbA1C test performed is base case (see note below) |
- Note: Information on a patient's HbA1C and diabetes medication compliance is only available if a HbA1C test was performed. Note that this set of indicator variables represents five categories: (1) Test revealed high HbA1C and steady compliance with medication, (2) Test revealed high HbA1C and down compliance, (3) Test revealed normal HbA1C and steady compliance, (4) Test revealed normal HbA1C and down compliance, and (5) No HbA1C test was performed.
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