In: Statistics and Probability
A study compared the relative frequency of mental health problems of various types among U.S. Army members before deployment to Iraq, U.S. Army members after serving in Iraq, U.S. Army members after serving in Afghanistan, and U.S. Marines after serving in Iraq. The study stated, "Potential differences in demographic factors among the four study groups were controlled for in our analysis with the use of logistic regression." For this study, identify the response variable, the primary explanatory variable, and likely control variables.
Response: Mental health problems; explanatory: deployment (yes/no); control: branch of military, country of service
Response: Deployment (yes/no); explanatory: before/after deployment; control: branch of military, country of service, mental health
Response: Four study groups; explanatory: mental health; control: branch of military, country of service
Response: Mental health problems (yes/no); explanatory: before/after deployment; control: branch of military, country of service
Here, a study was conducted to make comparison of relative frequency of mental health problems of various types among the four different groups::-- U.S. Army members before deployment to Iraq, U.S. Army members after serving in Iraq, U.S. Army members after serving in Afghanistan, and U.S. Marines after serving in Iraq.
The study stated, "Potential differences in demographic factors among the four study groups were controlled for in our analysis with the use of logistic regression."
Hence
Control Variables will be :- Branch of military and Country of service [ branching and country of service can be controlled by authority] which are assumed to be constant or unchanged during our experimental study and these may or may not have effect on Mental Health Problems.
For the Analysis it was said to use Logistic Regression and for that the response variable must be Binary variable or dichotomous variable. Here as per our target the obvious choice for response variable is:- Mental Health Problems (Yes/No) [ If yes then assign 1 , otherwise for no assign zero] and the response variable is dependent on the explanatory variable.
The explanatory variable is Before/After Deployment and it's independent in nature on which the mental health problems depend.
NOTE:- If you like the solution, please don't forget to give a thumbs up (Like) to boost up my work.