We talk a lot about response propensities. I'm starting to think we actually create a lot of confusion for ourselves by the way we sometimes have these discussions. First, there is a distinction between an actual and an estimated propensity. This distinction is important as our models are almost always misspecified. It is probably the case that important predictors are never observed -- for example, the mental state of the sampled person at the moment that we happen to contact them. So that the estimated propensity and true propensity are different things. The model selection choices we make can, therefore, have something of an arbitrary flavor to them. I think the choices we make should depend on the purpose of the model. We examined in a recent paper on nonresponse weighting whether call record information, especially the number of calls and refusal indicators, were useful predictors of response propensities for this purpose. It turns out that these variables were strong predic...
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