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a. Investigate if Socioeconomic level is associated with Scout status (use a chi-squared test of independence or odds ratio estimate). Write down the appropriate table and method/estimate you used to answer this question. > socio Scout Socioeconomic Yes No Low 211 54 High 69 206 Odd Ratio Estimate: 11.66 Chi-sq.test (socio) = 0 b. Now investigate if Socioeconomic level is associated with Delinquency status (use a chi-squared test of independence or odds ratio estimate). Write down the appropriate table and method/estimate you used to answer this question. c. Using the information from a. and b. state if you have information that Socioeconomic status can be a potential confounder in the association between Scout status and Delinquency status.

a. Investigate if Socioeconomic level is associated with Scout status (use a chi-squared test of independence or odds ratio estimate). Write down the appropriate table and method/estimate you used to answer this question. > socio Scout Socioeconomic Yes No Low 211 54 High 69 206 Odd Ratio Estimate: 11.66 Chi-sq.test (socio) = 0 b. Now investigate if Socioeconomic level is associated with Delinquency status (use a chi-squared test of independence or odds ratio estimate). Write down the appropriate table and method/estimate you used to answer this question. c. Using the information from a. and b. state if you have information that Socioeconomic status can be a potential confounder in the association between Scout status and Delinquency status.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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2. 540 young boys (younger than 16 years old) were randomly sampled. The goal was to study the association between boy scout's membership (yes or no) and if the child cited to be delinquent (yes or no). Each child had their boy scout membership status and delinquency status recorded. Additionally, each child's parent's socioeconomic status (low or high) was recorded. The two 2x2 tables (at each level of socioeconomic status) are below: Socioeconomic = Low Delinquent No Delinquent Yes Scout No 169 42 Scout Yes 43 11 Socioeconomic = High Delinquent No Delinquent Yes Scout No 59 10 Scout Yes 196 10
Transcribed Image Text:2. 540 young boys (younger than 16 years old) were randomly sampled. The goal was to study the association between boy scout's membership (yes or no) and if the child cited to be delinquent (yes or no). Each child had their boy scout membership status and delinquency status recorded. Additionally, each child's parent's socioeconomic status (low or high) was recorded. The two 2x2 tables (at each level of socioeconomic status) are below: Socioeconomic = Low Delinquent No Delinquent Yes Scout No 169 42 Scout Yes 43 11 Socioeconomic = High Delinquent No Delinquent Yes Scout No 59 10 Scout Yes 196 10
a. Investigate if Socioeconomic level is associated with Scout status (use a chi-squared test of independence or odds ratio estimate). Write down the appropriate table and method/estimate you used to answer this question. > socio Scout Socioeconomic Yes No Low 211 54 High 69 206 Odd Ratio Estimate: 11.66 Chi-sq.test (socio) = 0 b. Now investigate if Socioeconomic level is associated with Delinquency status (use a chi-squared test of independence or odds ratio estimate). Write down the appropriate table and method/estimate you used to answer this question. c. Using the information from a. and b. state if you have information that Socioeconomic status can be a potential confounder in the association between Scout status and Delinquency status. d. Compute the Maentel-Haenszel common odds ratio (meant to be done by hand). Interpret this estimate in the context of the problem. e. Conduct a test if the true MH common odds ratio is equal to 1 or not. State the null and alternative hypothesis, state the p-value and make a conclusion in the context of the study. f. Now note that the estimated odds ratio for being delinquent comparing scout to no scout is 1.03 for the low socioeconomic children but the estimated odds ratio for being delinquent comparing scout to no scout for the high socioeconomic children is 0.30. In a sentence or two explain how socioeconomic status is an effect modifier for the association of scout status (explanatory variable) to delinquency status (response).
Transcribed Image Text:a. Investigate if Socioeconomic level is associated with Scout status (use a chi-squared test of independence or odds ratio estimate). Write down the appropriate table and method/estimate you used to answer this question. > socio Scout Socioeconomic Yes No Low 211 54 High 69 206 Odd Ratio Estimate: 11.66 Chi-sq.test (socio) = 0 b. Now investigate if Socioeconomic level is associated with Delinquency status (use a chi-squared test of independence or odds ratio estimate). Write down the appropriate table and method/estimate you used to answer this question. c. Using the information from a. and b. state if you have information that Socioeconomic status can be a potential confounder in the association between Scout status and Delinquency status. d. Compute the Maentel-Haenszel common odds ratio (meant to be done by hand). Interpret this estimate in the context of the problem. e. Conduct a test if the true MH common odds ratio is equal to 1 or not. State the null and alternative hypothesis, state the p-value and make a conclusion in the context of the study. f. Now note that the estimated odds ratio for being delinquent comparing scout to no scout is 1.03 for the low socioeconomic children but the estimated odds ratio for being delinquent comparing scout to no scout for the high socioeconomic children is 0.30. In a sentence or two explain how socioeconomic status is an effect modifier for the association of scout status (explanatory variable) to delinquency status (response).
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