I found another interesting article that talked about costs. This one, from Teitler and colleagues, described the apparent nonresponse biases present at different levels of cost per interview. This cuts to the chase on the problem. The basic conclusion was that, at least in this case, the most expensive interviews didn't change estimates.
This enables discussing the tradeoffs in a more specific way. With a known amount of the budget that didn't prove to change estimates, could you make greater improvements by getting more cases that cost less? Spending more on questionnaire design? etc.
Of course, that's easy to say after the fact. Before the fact, armed with less than complete knowledge, one might want to go after the expensive cases to be sure they are not different. Of course, I'd argue that you'd want to do that in a way that controlled costs (subsampling) until you achieve more certainty about the value of those data.
This enables discussing the tradeoffs in a more specific way. With a known amount of the budget that didn't prove to change estimates, could you make greater improvements by getting more cases that cost less? Spending more on questionnaire design? etc.
Of course, that's easy to say after the fact. Before the fact, armed with less than complete knowledge, one might want to go after the expensive cases to be sure they are not different. Of course, I'd argue that you'd want to do that in a way that controlled costs (subsampling) until you achieve more certainty about the value of those data.
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