Methods Flashcards
Causality
X → Y, i.e. the correlation is due to X causing Y .
Reverse causality
Y → X, i.e. Y causes X.
Simultaneity
X → Y and Y → X, X and Y are jointly determined.
Spurious correlation/omitted variable bias
the correlation is due to the fact that there exists a third variable, Z, such that Z → X and Z → Y , i.e. both X and Y are affected by Z.
ATE (Average Treatment Effect) full compliance
ATE = Average Outcome in Treatment Group - Average Outcome in Control Group (in RCT)
Can examine heterogeneous treatment effects by comparing subgroups of treated and control individuals
ATE = (Yt1-Yt0)-(Yc1-Yc0) (in diff-in-diff)
External validity
To what extent do the results apply to populations beyond the sample used in the analysis
ITT (Intention-to-treat effect) partial compliance
If we randomize who gets treated and who not, but not everyone in the treatment group participates/takes up the treatment, i.e. the take-up rate, or compliance rate, is <100%,
Hawthorne effect
individuals in the treatment group may change their behavior because they are aware they are being studied
E.g. participants may pay more attention, experimenter demand effect
John Henry effect
individuals in the control group may change
their behavior, e.g. they may work harder to compensate for not being treated
If this is the case, the treatment effect will be underestimated
Contamination or spillover effects
This happens when some of the controls that were
randomly excluded from treatment are able to receive the treatment, or, conversely, if some members randomly selected for the treatment do not receive it.
To avoid this, treatment and control need to be kept sufficiently separate, making similarity between the two groups also more difficult to achieve.
Dropout or attrition effects
Some members of the treatment group may drop out
of the experiment before completing the program. This is often the case for experiments that last for a long time. In this case, there is a selection effect since randomization was done on the offer of treatment or at the outset of the experiment, not on whether individuals completed the treatment. Selection in dropping out may create bias if those who drop out are different in terms of the measured outcome from those who continue the experiment.
Exclusion restriction
The instrument must not be correlated to the outcome through another channel
Counterfactual
The counterfactual should measure what would have happened to the beneficiaries in the absence of the intervention.
Write down the empirical model
the sign of the bias depends on how Z (the omitted variable) and X (the potentially endogenous variable) and how Z (the omitted variable) and Y (our outcome of interest) are correlated:
If both are positively (or negatively) correlated, our coefficient estimate on X will have an upward bias / will be biased upward
If one is positively and one is negatively correlated, our coefficient estimate on X will have a downward bias / will be biased downward
In the case of impact evaluations, X is usually expected to have a positive effect on Y
If that is the case and if the estimate is biased upward, we overestimate the positive effect of X on Y
Stratification
Randomization ensures that treatment and control groups will be similar in expectation
Stratication is used to ensure that the two groups are similar in practice