Designer's Choice for Paid Research Study
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We consider constrained sampling problems in paid research studies or clinical trials. When qualified volunteers are more than the budget allowed, we recommend a D-optimal sampling strategy based on the optimal design theory and develop a constrained lift-one algorithm to find the optimal allocation. We theoretically justify the optimality of our sampling strategy and show by simulations and a real data example its advantage over simple random sampling and proportionally stratified sampling.
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