Diana, Giancarlo and Preo, Paolo and Tommasi, Chiara (2005) Some Practical Aspects in Multi-Phase Sampling. [Working Paper] WORKING PAPER SERIES, 2/2005 . , PADOVA (Inedito)
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Multi-phase sampling (M-PhS) scheme is useful when the interest is in the estimation of the population mean of an expensive variable strictly connected with other cheaper (auxiliary) variables. The MSE is an accuracy measure of an estimator. Usually it decreases as the sample size increases. In the practice the sample size cannot become arbitrarily large since there are usually cost constraints. From a practical point of view it would be useful to know the sample sizes which guarantee the greatest accuracy of the estimates for fixed costs. These “optimum” sample sizes can be, in some cases, computable but not admissible. In other cases, they can be neither admissible nor computable. In both the situations the solution is to consider a M-PhS scheme with one or more phases less.
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