Data Collectionhard
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In a survey using a stratified design, let NhN_h be the stratum size, ShS_h the standard deviation, and chc_h the cost per unit. Under Neyman allocation, the sample size nhn_h is proportional to NhShN_h S_h. If the budget is constrained by C=c0+h=1HchnhC = c_0 + \sum_{h=1}^H c_h n_h, what is the optimal allocation nhn_h that minimizes the variance of the population mean?