IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-94-007-0789-4_4.html
   My bibliography  Save this book chapter

Use of Auxiliary Information: Probability Proportional to Size and with Replacement (PPSWR) Sampling

In: Advanced Sampling Theory with Applications

Author

Listed:
  • Sarjinder Singh

    (St. Cloud State University, Department of Statistics)

Abstract

Through the previous chapter we have seen that the proper use of auxiliary information at the estimation stage for estimating any population parameter results in a gain in the efficiency of the resultant estimators. For example, the product and ratio estimators of the population mean remain better than the sample mean when the correlation between the study variable and the auxiliary variable lies in the interval [−1.0,−0.5) and (+0.5, + 1.0], respectively. In this chapter we shall show that the auxiliary information can also be used to select a sample which can provide better estimators of population parameters. In other words, the auxiliary information can be used at the sample selection stage as well as at the estimation stage. A sampling scheme with replacement in which each sampling unit has unequal probability of selection, the probability being proportional to the size of the auxiliary variable associated with the particular unit, is called probability proportional to size and with replacement (PPSWR) sampling scheme.

Suggested Citation

  • Sarjinder Singh, 2003. "Use of Auxiliary Information: Probability Proportional to Size and with Replacement (PPSWR) Sampling," Springer Books, in: Advanced Sampling Theory with Applications, chapter 4, pages 295-348, Springer.
    • Handle: RePEc:spr:sprchp:978-94-007-0789-4_4
    DOI: 10.1007/978-94-007-0789-4_4
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    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:spr:sprchp:978-94-007-0789-4_4. See general information about how to correct material in RePEc.

    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.

    We have no bibliographic references for this item. You can help adding them by using 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.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

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

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.