Directed Acyclic Graphs (DAGs)

Review the articles on DAGs in the Week 5 Learning Resources. You may use any drawing tools available to you to create the DAGs requested below, although it does not need to be sophisticated software; for example, Microsoft Word’s Insert Shapes and Text Box features are sufficient tools to create these diagrams.

For each of the following epidemiological scenarios, draw a DAG that represents the relationships between the variables: (5 points each)

A researcher is studying the association between automobile exhaust (E) and the prevalence of asthma in children (A). Other air pollutants (P) may also affect asthma prevalence. The presence of wind (W) affects the concentrations of both (E) and (P).
A researcher is studying the association between experiencing childhood abuse (A) and the occurrence of depression (D) as an adult. She has reason to believe that alcohol consumption (C) may mediate the relationship between (A) and (D).
State in words the meaning of the hazard ratios for self-rated health in model 1. Be sure to include information on statistical significance. (5 points)
State in words the meaning of the hazard ratios for self-rated health in model 3. Discuss whether or not breast cancer stage and daily task limitations were confounders of the self-rated health/mortality association. Justify your response and state your overall conclusions based on the analyses. (15 points)
Fill in the table below for columns A and B. The table shows different associations where Factors X and Z are being measured for their effect on an outcome. For each effect measure there are shown three results: a result with Factor X only (X+Z-), a result with Factor Z only (X-Z+), and the Observed Joint Effect for both factors (X+Z+). In column A, indicate whether the interaction is positive or negative, and in column B, indicate whether the interaction is additive or multiplicative. If no interaction is present, put “None” in columns A and B. (10 points)
Imagine that you are conducting a randomized controlled trial comparing two medicines (Medicine 1 and Medicine 2) in the prevention of asthma attacks. The following table shows some of the characteristics of the study population for each group: