Abstract
This article deals with a further modification on the selection of linear systematic sample. Consequently, the proposed method is an optimal modified linear systematic sampling. The performances of the modified linear systematic sampling are assessed with that of simple random sampling and linear systematic sampling for certain hypothetical populations, as well as for certain natural populations. As a result, it is observed that the proposed modified linear systematic sample mean performs better than the simple random sample mean and the usual systematic sample mean for estimating the population mean in the presence of linear trend among the population values. Further improvements are achieved by introducing Yates-type end corrections.
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