Suppose that the log-odds of contracting COVID were modeled as a function of living situation. Based on the data collected, indicator variables representing living situations were defined as follows: Z1 = Lived in apartment building with single nuclear family (e.g., parents and children) Z2 = Lived in apartment building with a single family including multiple generations (>2 generations) Z3 = Lived in single-home or town house with multiple families Z4 = Lived in single-home or town house with a single family including multiple generations (>2 generations) Reference category: Lived in single home or town house with single nuclear family The fitted logistic regression equation was found to be: ogit-0.20 +0.10 Z1 + 0.30*Z2 +0.45*Z3+ 0.20*Z4. What is the odds-ratio representing the odds of being infected with COVID for a person from single nuclear family

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
**Living Situation and COVID-19 Risk Analysis**

Researchers modeled the log-odds of contracting COVID-19 as a function of living situation. Based on the data collected, indicator variables for living situations were defined as follows:

- **Z1**: Lived in an apartment building with a single nuclear family (e.g., parents and children).
- **Z2**: Lived in an apartment building with a single family including multiple generations (more than two generations).
- **Z3**: Lived in a single-home or townhouse with multiple families.
- **Z4**: Lived in a single-home or townhouse with a single family including multiple generations (more than two generations).

**Reference Category**: Lived in a single home or townhouse with a single nuclear family.

The fitted logistic regression equation was determined to be:

\[ \text{logit} = 0.20 + 0.10 \ast Z1 + 0.30 \ast Z2 + 0.45 \ast Z3 + 0.20 \ast Z4 \]

**Odds-Ratio Question**: Calculate the odds ratio representing the likelihood of being infected with COVID-19 for a person from a single nuclear family living in an apartment compared to a single nuclear family living in a single home.

**Instructions**: Enter your answer to three decimal places.
Transcribed Image Text:**Living Situation and COVID-19 Risk Analysis** Researchers modeled the log-odds of contracting COVID-19 as a function of living situation. Based on the data collected, indicator variables for living situations were defined as follows: - **Z1**: Lived in an apartment building with a single nuclear family (e.g., parents and children). - **Z2**: Lived in an apartment building with a single family including multiple generations (more than two generations). - **Z3**: Lived in a single-home or townhouse with multiple families. - **Z4**: Lived in a single-home or townhouse with a single family including multiple generations (more than two generations). **Reference Category**: Lived in a single home or townhouse with a single nuclear family. The fitted logistic regression equation was determined to be: \[ \text{logit} = 0.20 + 0.10 \ast Z1 + 0.30 \ast Z2 + 0.45 \ast Z3 + 0.20 \ast Z4 \] **Odds-Ratio Question**: Calculate the odds ratio representing the likelihood of being infected with COVID-19 for a person from a single nuclear family living in an apartment compared to a single nuclear family living in a single home. **Instructions**: Enter your answer to three decimal places.
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,