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A Further Modification on Linear Systematic Sampling for Finite Populations

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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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References

  • Cochran, W. G. 1977. Sampling techniques, 3rd ed., New York, NY: John Wiley and Sons.

    MATH  Google Scholar 

  • Fountain, R. L., and P. L. Pathak, 1989. Systematic and non-random sampling in the presence of linear trends. Commun. Stat. Theory Methods 18, 2511–2526.

    Article  Google Scholar 

  • Mukerjee, R., and S. Sengupta 1990. Optimal estimation of a finite population means in the presence of linear trend. Biometrika 77, 625–630.

    Article  MathSciNet  Google Scholar 

  • Murthy, M. N. 1967. Sampling theory and methods. Calcutta, India: Statistical Publishing House.

    MATH  Google Scholar 

  • Subramani, J. 2012. A modification on linear systematic sampling, model assisted statistics and applications. In Press.

  • Sukhatme, P. V., B. V. Sukhatme, S. Sukhatme, and C. Asok. 1984. Sampling Theory of Surveys with Applications. Ames: Iowa State University Press.

    MATH  Google Scholar 

  • Yates, F. 1948. Systematic sampling. Philos. Trans. R. Soc. A 241, 345–377.

    Article  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Department of Statistics, Pondicherry University, R V Nagar, Kalapet, Puducherry, 605114, India

    J. Subramani

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  1. J. Subramani
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Correspondence to J. Subramani.

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Subramani, J. A Further Modification on Linear Systematic Sampling for Finite Populations. J Stat Theory Pract 7, 471–479 (2013). https://doi.org/10.1080/15598608.2013.790231

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  • DOI: https://doi.org/10.1080/15598608.2013.790231

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