Generalized modified linear systematic sampling scheme for finite populations

Year 2014, Volume: 43 Issue: 3, 529 - 542, 01.06.2014

J. Subramani Sat N. Gupta

Abstract

The present paper deals with a further modification on the selection of
linear systematic sample, which leads to the introduction of a more generalized form of modified linear systematic sampling namely generalized
modified linear systematic sampling (GMLSS) scheme, which is applicable for any sample size, irrespective of the population size whether it
is a multiple of sample size or not. The performances of the proposed
modified linear systematic sampling scheme are assessed with that of
simple random sampling, circular systematic sampling for certain hypothetical populations as well as for some natural populations. As a
result, it is observed that the proposed modified linear systematic sample means perform better than the simple random sample mean and
circular systematic sample mean for estimating the population mean
in the presence of linear trend among the population values. Further
improvements on GMLSS are achieved by introducing Yates type end
corrections.

Keywords

Linear Trend, Modified Systematic Sampling, Natural Population, Simple Random Sampling, Trend Free Sampling, Yates End Corrections, Yates Type End Corrections

References

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