ALTERNATIVE APPROACH FOR OPTIMUM STRATIFICATION WITH EQUAL ALLOCATION
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Date
2018-08
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UHF NAUNI
Abstract
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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