Science Journal of Applied Mathematics and Statistics

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Selection of the Samples with Probability Proportional to Size

Received: 26 August 2015    Accepted: 06 September 2015    Published: 22 September 2015
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Abstract

It is manifested to all that sample size varies from unit to unit. It goes without saying that large units contain more apropos information than the smaller units. So if the unit size is larger then there is a greater possibility to choose sample from the large unit than smaller one. It actually means the probability of selecting a unit is positively proportional to its sizes. The selection of unit is done corresponding to choose a number at random from the totality of numbers associated. My main aim is to prefer a method of selecting units on the basis of its size.

DOI 10.11648/j.sjams.20150305.13
Published in Science Journal of Applied Mathematics and Statistics (Volume 3, Issue 5, October 2015)
Page(s) 230-233
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

The Probability Proportional to Size (PPS), Cumulative Method, Lahiri’S Method

References
[1] Amahia GN, Chaubey YP, Rao TJ (1989). Efficiency of a new PPS sampling for multiple characteristics, J. Stat. Plan. Inference, 21, 75-84.
[2] Basu D (1971). An essay on the logical foundation of survey sampling I” Foundation of statistical inference.. Holt, Rinehard and Winston. Edited by Godambe and Sprott
[3] Brewer, K. R. W. and Hanif, M. (1983). Sampling with unequal probabilities, New York: Springer-Verlag.
[4] Chaudhuri A (2010). Essentials of Survey Sampling, PHI Learning Private Limited, New Delhi.
[5] Ekaette, IE, (2008). A class of alternative estimators for Multicharacteristics in PPS sampling Scheme, Unpublished Ph.D thesis, Univeristy of Ibadan, Nigeria.
[6] Godambe VP (1955). A unified theory of sampling from finite population, J. Roy. Stat. Soc. B., 17, 269- 278.
[7] Grewal IS, Bansal ML, Singh (1997). An alternative estimator for multiple characteristics using randomized response technique in PPS sampling. Aligarh J. Stat., 19:51-65.
[8] 8 Hansen MH, Hurwitz WN (1943). On the theory of sampling from a finite population, Ann. Math. Stat., 14, 333-362.
[9] Hansen, Morris H., William N. Hurwitz and William G. Madow., (l953b). Sample Survey Methods and Theory, Volume 2- Theory, New York. John Wiley and Sons.
[10] Kendall, M. G., and Smith, B. B., (1938). Randomness and random sampling numbers, Jour. Roy. Stat. Soc., 101, 147-166.
[11] Pathak PK (1966). An estimator in PPS sampling for multiple characteristics. Sankhya, A. 28(1):35-40. Rand Corporation (1955). A Million Random Digits, Free Press, Glencoe, III.
[12] Rao JNK (1966). Alternative estimators in the PPS sampling for multiple characteristics, Sankhya, 28(A), 47-60.
[13] Singh S, Grewal IS, Joarder A (2004). General class of estimators in multi-character surveys. Stat. Papers, 45:571-582.
Author Information
  • Department of statistics, Islamic University, Kushtia, Bangladesh

  • Department of statistics, Islamic University, Kushtia, Bangladesh

  • Department of statistics, Islamic University, Kushtia, Bangladesh

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  • APA Style

    Maskurul Alam, Sharmin Akter Sumy, Yasin Ali Parh. (2015). Selection of the Samples with Probability Proportional to Size. Science Journal of Applied Mathematics and Statistics, 3(5), 230-233. https://doi.org/10.11648/j.sjams.20150305.13

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    ACS Style

    Maskurul Alam; Sharmin Akter Sumy; Yasin Ali Parh. Selection of the Samples with Probability Proportional to Size. Sci. J. Appl. Math. Stat. 2015, 3(5), 230-233. doi: 10.11648/j.sjams.20150305.13

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    AMA Style

    Maskurul Alam, Sharmin Akter Sumy, Yasin Ali Parh. Selection of the Samples with Probability Proportional to Size. Sci J Appl Math Stat. 2015;3(5):230-233. doi: 10.11648/j.sjams.20150305.13

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  • @article{10.11648/j.sjams.20150305.13,
      author = {Maskurul Alam and Sharmin Akter Sumy and Yasin Ali Parh},
      title = {Selection of the Samples with Probability Proportional to Size},
      journal = {Science Journal of Applied Mathematics and Statistics},
      volume = {3},
      number = {5},
      pages = {230-233},
      doi = {10.11648/j.sjams.20150305.13},
      url = {https://doi.org/10.11648/j.sjams.20150305.13},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.sjams.20150305.13},
      abstract = {It is manifested to all that sample size varies from unit to unit. It goes without saying that large units contain more apropos information than the smaller units. So if the unit size is larger then there is a greater possibility to choose sample from the large unit than smaller one. It actually means the probability of selecting a unit is positively proportional to its sizes. The selection of unit is done corresponding to choose a number at random from the totality of numbers associated. My main aim is to prefer a method of selecting units on the basis of its size.},
     year = {2015}
    }
    

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    T1  - Selection of the Samples with Probability Proportional to Size
    AU  - Maskurul Alam
    AU  - Sharmin Akter Sumy
    AU  - Yasin Ali Parh
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    AB  - It is manifested to all that sample size varies from unit to unit. It goes without saying that large units contain more apropos information than the smaller units. So if the unit size is larger then there is a greater possibility to choose sample from the large unit than smaller one. It actually means the probability of selecting a unit is positively proportional to its sizes. The selection of unit is done corresponding to choose a number at random from the totality of numbers associated. My main aim is to prefer a method of selecting units on the basis of its size.
    VL  - 3
    IS  - 5
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