IDEAS home Printed from https://ideas.repec.org/p/mts/wpaper/200809.html
   My bibliography  Save this paper

Inferences for Selected Location Quotients with Applications to Health Outcomes

Author

Listed:
  • Gemechis D. Djira
  • Frank Schaarschmidt
  • Bichaka Fayissa

Abstract

Location quotient (LQ) is an index frequently used in geography and economics to measure the relative concentration of activities. This quotient is calculated in a variety of ways depending on which group to use as a reference. Here, we focus on simultaneous inference for the ratios of the individual proportions to the overall proportion based on binomial data. Apparently, this is a multiple comparison problem and multiplicity adjusted location quotients have not been addressed up to now. In fact, there is a negative correlation between the comparisons. The quotients can be simultaneously tested against unity and simultaneous confidence intervals can be constructed for the LQs based on existing probability inequalities and by directly using the asymptotic joint distribution of the associated z-statistics. The proposed inferences are appropriate for analysis based on sample surveys. A real data set is used to demonstrate the application of multiplicity adjusted LQs. A simulation study is also carried out to assess the performance of the proposed methods in terms of achieving a nominal coverage probability. It is observed that the coverage of the simple Bonferroni adjusted Fieller intervals for LQs is just as good as the coverage of the method which directly takes the correlations into account.

Suggested Citation

  • Gemechis D. Djira & Frank Schaarschmidt & Bichaka Fayissa, 2008. "Inferences for Selected Location Quotients with Applications to Health Outcomes," Working Papers 200809, Middle Tennessee State University, Department of Economics and Finance.
  • Handle: RePEc:mts:wpaper:200809
    as

    Download full text from publisher

    File URL: http://capone.mtsu.edu/berc/working/LQ9-4-08_WP.pdf
    Download Restriction: no

    References listed on IDEAS

    as
    1. Philip Mccann & John H. LL. Dewhurst, 1998. "Regional Size, Industrial Location and Input-Output Expenditure Coefficients," Regional Studies, Taylor & Francis Journals, vol. 32(5), pages 435-444.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Billings, Stephen B. & Johnson, Erik B., 2012. "The location quotient as an estimator of industrial concentration," Regional Science and Urban Economics, Elsevier, vol. 42(4), pages 642-647.

    More about this item

    Keywords

    Location quotients; Fieller's theorem; Multiple comparison.;

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • R11 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Regional Economic Activity: Growth, Development, Environmental Issues, and Changes

    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:mts:wpaper:200809. 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: (E. Anthon Eff). General contact details of provider: http://edirc.repec.org/data/efmtsus.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.