Define correlation
If one variable changing is associated with the other variable changing on average
3 reasons why a variable may be correlated
What is the treatment
variable we want to know the effect of
What is the outcome
The variable effected by the treatment
What is a mechanism
The reason the treatment affects outcome
How do we determine the existence of a bias
If, on average, the estimate doesn’t estimate the desired casual effect
(includes effect of confounders)
What is a positive bias
Confounder causes both outcome and treatment to change in the same direction
Meaning estimate of the casual effect is bigger (more positive) than the causal effect on average
(regardless of negative or positive direction)
What is a negative bias
Confounder causes both the outcome and treatment to change in opposite directions
Meaning that the estimate of the causal effect is smaller (more negative) than the causal effect on average
What is reverse causality
The outcome has a causal effect on the treatment
Can be a source of bias
Think about the direction of this bias due to reverse causality
How do you determine the direction of bias due to reverse causality
If the only reason for correlation between treatment and the outcome is reverse causality, what sign of correlation would there be
Simultaneity
Causal relationship and reverse causality
Situation when there is a causal relationship and also reverse causality