IDEAS home Printed from https://ideas.repec.org/p/bdm/wpaper/2009-13.html
   My bibliography  Save this paper

An Unbiased Estimator of the Variance of Simple Random Sampling Using Mixed Random-Systematic Sampling

Author

Listed:
  • Alberto Padilla

Abstract

Systematic sampling is a commonly used technique due to its simplicity and ease of implementation. The drawback of this simplicity is that it is not possible to estimate the design variance without bias. There are several ways to circumvent this problem. One method is to suppose that the variable of interest has a random order in the population, so the sample variance of simple random sampling without replacement is used. By means of a mixed random - systematic sample, an unbiased estimator of the population variance for simple random sample is proposed without model assumptions. Some examples are given.

Suggested Citation

  • Alberto Padilla, 2009. "An Unbiased Estimator of the Variance of Simple Random Sampling Using Mixed Random-Systematic Sampling," Working Papers 2009-13, Banco de México.
  • Handle: RePEc:bdm:wpaper:2009-13
    as

    Download full text from publisher

    File URL: http://www.banxico.org.mx/publicaciones-y-discursos/publicaciones/documentos-de-investigacion/banxico/%7B31A7D60E-72E8-35DE-2A5B-481632141607%7D.pdf
    Download Restriction: no

    References listed on IDEAS

    as
    1. Kuo-Chung Huang, 2004. "Mixed random systematic sampling designs," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 59(1), pages 1-11, February.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    Variance estimator; systematic sampling; simple random sampling; random order.;

    JEL classification:

    • C80 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs - - - General
    • C83 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs - - - Survey Methods; Sampling Methods

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:bdm:wpaper:2009-13. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Dirección de Sistemas). General contact details of provider: http://edirc.repec.org/data/bangvmx.html .

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.