A well-known notion is that experiments are preferable to observational studies. The main difference between experimental studies and observational studies is an issue of control. In experiments, the researcher can deliberately choose "treatments" and control the assignment of subjects to the "treatments", and then can measure the outcome. Whereas in observational studies, the researcher can only observe the subjects and measure variables of interest.
An experimental setting is therefore considered "cleaner": you manipulate what you can, and randomize what you can't (like the famous saying Block what you can and randomize what you can’t). In his book Observational Studies, Paul Rosenbaum writes "Experiments are better than observational studies because there are fewer grounds for doubt." (p. 11).
Better for what purpose?
I claim that sometimes observational data are preferable. Why is that? well, it all depends on the goal. If the goal is to infer causality, then indeed an experimental setting wins hands down (if feasible, of course). However, what if the goal is to accurately predict some measure for new subjects? Say, to predict which statisticians will write blogs.
Because prediction does not rely on causal arguments but rather on associations (e.g., "statistician blog writers attend more international conferences"), the choice between an experimental and observational setting should be guided by additional considerations beyond the usual ethical, economic, and feasibility constraints. For instance, for prediction we care about the closeness of the study environment and the reality in which we will be predicting; we care about measurement quality and its availability at the time of prediction.
An experimental setting might be too clean compared to the reality in which prediction will take place, thereby eliminating the ability of a predictive model to capture authentic “noisy” behavior. Hence, if the “dirtier” observational context contains association-type information that benefits prediction, it might be preferable to an experiment.
There are additional benefits of observational data for building predictive models:
- Predictive reality: Not only can the predictive model benefit from the "dirty" environment, but the assessment of how well the model performs (in terms of predictive accuracy) will be more realistic if tested in the "dirty" environment.
- Effect magnitude: Even if an input is shown to cause an output in an experiment, the magnitude of the effect within the experiment might not generalize to the "dirtier" reality.
- The unknown: even scientists don't know everything! predictive models can discover previously unknown relationships (associative or even causal). Hence, limiting ourselves to an experimental setting that is designed and limited to our knowledge, can keep our knowledge stagnant, and predictive accuracy low.
You make a good point. Fundamentally, the most important thing which experimental design does is manipulate the sampling distribution- which shifts the emphasis of subsequent analysis. Sometimes there are good reasons for this, but if what is needed is analysis or predictive modeling which is intended to apply to the existing (observed) distribution, then perhaps the observational data is most appropriate.
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