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On ranked set sampling for multiple characteristics

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Abstract

We consider the selection of samples in ranked set sampling when several attributes of each sample are of interest. We describe approaches that have appeared previously in the literature and present a novel method that seeks to achieve samples that are nearly balanced with respect to the ranks of all attributes. This method is shown to result in very little loss of precision compared to problems in which only a single sample attribute is of interest.

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References

  • Barnett, V. (1999) Ranked set sample design for environmental investigations. Environmental and Ecological Statistics, 6, 59–74.

    Google Scholar 

  • Dell, T.R. and Clutter, J.L. (1972) Ranked set sampling theory with order statistics background. Biometrics, 28, 545–55.

    Google Scholar 

  • Kaur, A., Patil, G.P., and Taillie, C. (1997) Unequal allocation models for ranked set sampling with skew distributions. Biometrics, 53, 123–30.

    Google Scholar 

  • McIntyre, G.A. (1952) A method of unbiased selective sampling, using ranked sets. Australian Journal of Agricultural Research, 3, 385–90.

    Google Scholar 

  • Norris, R.C., Patil, G.P., and Sinha, A.K. (1995) Estimation of multiple characteristics by ranked set sampling methods. Coenoses, 10, 95–111.

    Google Scholar 

  • Patil, G.P., Sinha, A.K., and Taillie, C. (1994a) Ranked set sampling. In Handbook of Statistics, Volume 12, Environmental Statistics, G.P. Patil and C.R. Rao (eds), North Holland Elsevier, New York, 167–200.

    Google Scholar 

  • Patil, G.P., Sinha, A.K., and Taillie, C. (1994b) Ranked set sampling for multiple characteristics. International Journal of Ecology and Environmental Sciences, 20, 94–109.

    Google Scholar 

  • Ridout, M.S. and Cobby, J.M. (1987) Ranked set sampling with non-random selection of sets and errors in ranking. Applied Statistics, 36, 145–52.

    Google Scholar 

  • Takahasi, K. and Wakimoto, K. (1968) On unbiased estimates of the population mean based on the sample stratified by means of ordering. Annals of the Institute of Statistical Mathematics, 20, 1–31.

    Google Scholar 

  • Takahasi, K. (1970) Practical note on estimation of population means based on samples stratified by means of ordering. Annals of the Institute of Statistical Mathematics, 22, 421–8.

    Google Scholar 

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Ridout, M. On ranked set sampling for multiple characteristics. Environmental and Ecological Statistics 10, 255–262 (2003). https://doi.org/10.1023/A:1023694729011

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  • DOI: https://doi.org/10.1023/A:1023694729011

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