ALTERNATIVE APPROACH FOR OPTIMUM STRATIFICATION WITH EQUAL ALLOCATION

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Date
2018-08
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UHF NAUNI
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ABSTRACT The method of choosing the best ts demarcation points or boundaries that make strata internally homogeneous, given some sample allocation method, is known as optimum stratification. To achieve this, the strata are constructed in such a way that the strata variances should be as small as possible for the characteristic under study. Present study considers the problem of finding optimum strata boundaries to optimize the estimation of sensitive/stigmatized characters when sample sizes from different strata are selected with simple random sampling with replacement (SRSWR) under equal allocation and the data are collected by optional scrambled randomized response technique on the sensitive study variable. Assuming the form of the regression of the estimation variable y on the auxiliary variable x asy= η(x) +e and the form of the conditional variance V(Y/X), the minimal equations giving optimum strata boundaries by minimizing the variance of the estimator of the population mean have been obtained.
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