IDEAS home Printed from https://ideas.repec.org/a/jns/jbstat/v224y2004i1-2p198-230.html
   My bibliography  Save this article

Der Nicht-Stichprobenfehler und seine Zerlegung in die beiden Komponenten „glatter Wert“ – wahrer Wert plus systematischer Fehler- und „Zufallsfehler“ / The Non-Sampling Error and its Decomposition into the Two Components “Permanent Value” – True Value plus Systematic Error- and “Random Error”: Schätzung mit Hilfe der Variate Difference-Methode und Analyse der horizontalen Aggregation individueller Zufallsfehler / Estimation by Means of the Variate Difference Method and Analysis of the Horizontal Aggregation of Individual Random Errors

Author

Listed:
  • Strecker Heinrich

    (Emer. o. Professor Dr. rer. nat. Universität Tübingen und Honorarprofessor der Universität München, Rosenstr. 11, D-82319 Starnberg bei München, Germany)

Abstract

In order to judge the quality of survey data it is necessary above all to estimate the size of the individual error components, i. e. the systematic and the random errors in the responses (survey data) of the surveyed units and, if feasible, to determinate their true value. This paper develops an estimation procedure by which the individual random errors included in individual response values can be ascertained as well as the total random error of a survey. As costumary in statistical surveys an additive linear error model is assumed: Individual response value = true value + systematic error + random error. The true value of a characteristic together with its systematic error are referred to as the permanent (smooth) component of the survey value. To assess the value of the permanent component the variate difference method is suggested in analogy to time series analysis, and the difference between response and estimated permanent component is the estimated random error. The permanent component is being estimated for each unit in a first stochastic approximation by means of an average of responses in three (re-)enumerations. With more than three (re-)enumarations further individual random errors and their average could be computed, this meaning a horizontal aggregation of individual estimates. This procedure is demonstrated for a simulated case.

Suggested Citation

  • Strecker Heinrich, 2004. "Der Nicht-Stichprobenfehler und seine Zerlegung in die beiden Komponenten „glatter Wert“ – wahrer Wert plus systematischer Fehler- und „Zufallsfehler“ / The Non-Sampling Error and its Decomposition in," Journal of Economics and Statistics (Jahrbuecher fuer Nationaloekonomie und Statistik), De Gruyter, vol. 224(1-2), pages 198-230, February.
  • Handle: RePEc:jns:jbstat:v:224:y:2004:i:1-2:p:198-230
    as

    Download full text from publisher

    File URL: https://www.degruyter.com/view/j/jbnst.2004.224.issue-1-2/jbnst-2004-1-215/jbnst-2004-1-215.xml?format=INT
    Download Restriction: For access to full text, subscription to the journal or payment for the individual article is required.

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Tych, Wlodek & Pedregal, Diego J. & Young, Peter C. & Davies, John, 2002. "An unobserved component model for multi-rate forecasting of telephone call demand: the design of a forecasting support system," International Journal of Forecasting, Elsevier, vol. 18(4), pages 673-695.
    2. Chung-Ming Kuan, 2006. "Artificial Neural Networks," IEAS Working Paper : academic research 06-A010, Institute of Economics, Academia Sinica, Taipei, Taiwan.
    Full references (including those not matched with items on IDEAS)

    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:jns:jbstat:v:224:y:2004:i:1-2:p:198-230. 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: (Peter Golla). General contact details of provider: https://www.degruyter.com .

    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 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.

    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.