For someone who is 25 years old and adjusting for education, calculate the odds ratio of being employed for someone who is mother, had a college degree versus a mother who had a high school degree. Calculate the odds ratio to three places beyond the decimal point.
For someone who is 25 years old and adjusting for education, calculate the odds ratio of being employed for someone who is mother, had a college degree versus a mother who had a high school degree. Calculate the odds ratio to three places beyond the decimal point.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
Related questions
Question
For someone who is 25 years old and adjusting for education, calculate the odds ratio of being employed for someone who is mother, had a college degree versus a mother who had a high school degree. Calculate the odds ratio to three places beyond the decimal point. 
![**Logistic Regression Model for Education and Employment Study**
Investigators evaluated the effect of education on employment status using a logistic regression model. The study considered various factors including:
- **Education Level:**
- \( E1 = 1 \) if college education or more, otherwise 0.
- \( E2 = 1 \) if Master's degree or more, otherwise 0.
- Both \( E1 \) and \( E2 = 0 \) if education is less than college.
- **Mother's Education (M):**
- \( M = 1 \) if the mother has college education or more, otherwise 0.
- **Age (A):**
- A continuous variable measured in years.
**Model Specification:**
The logistic regression model used is:
\[ \text{Logit} = a + B1 \times E1 + B2 \times E2 + B3 \times A + B4 \times M + B5 \times A \times M \]
**Estimated Parameters:**
Using SAS, the estimates obtained were:
- \( a = -2 \)
- \( B1 = 0.2 \)
- \( B2 = 0.4 \)
- \( B3 = 0.1 \)
- \( B4 = 0.3 \)
- \( B5 = 0.02 \)
This model helps in understanding how educational attainment, age, and parental education influence employment status.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F48993cee-6cc3-4e73-bc79-b92a75365418%2F92c40752-e060-432b-be36-a10c470ee486%2Fwjab7m_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Logistic Regression Model for Education and Employment Study**
Investigators evaluated the effect of education on employment status using a logistic regression model. The study considered various factors including:
- **Education Level:**
- \( E1 = 1 \) if college education or more, otherwise 0.
- \( E2 = 1 \) if Master's degree or more, otherwise 0.
- Both \( E1 \) and \( E2 = 0 \) if education is less than college.
- **Mother's Education (M):**
- \( M = 1 \) if the mother has college education or more, otherwise 0.
- **Age (A):**
- A continuous variable measured in years.
**Model Specification:**
The logistic regression model used is:
\[ \text{Logit} = a + B1 \times E1 + B2 \times E2 + B3 \times A + B4 \times M + B5 \times A \times M \]
**Estimated Parameters:**
Using SAS, the estimates obtained were:
- \( a = -2 \)
- \( B1 = 0.2 \)
- \( B2 = 0.4 \)
- \( B3 = 0.1 \)
- \( B4 = 0.3 \)
- \( B5 = 0.02 \)
This model helps in understanding how educational attainment, age, and parental education influence employment status.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 10 images
Recommended textbooks for you
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON