IDEAS home Printed from https://ideas.repec.org/a/bla/presci/v77y1998i2p101-129.html
   My bibliography  Save this article

Some Practical Applications Of Moran'S I'S Exact Conditional Distribution

Author

Listed:
  • Michael Tiefelsdorf

Abstract

ABSTRACT This article uses statistical results on ratios of quadratic forms to present a closed theory of Moran's I's exact conditional distribution, its moments and feasible range subject to a significant underlying Gaussian spatial process. These results allow one (i) to give by means of the conditional expectation a direct link of an observed value of Moran's I to the autocorrelation level of an underlying spatial process, (ii) to calculate the distribution of local Moran's Ii subject to the forces of a global spatial process which permits the exploration of local heterogeneities within the global process, and (iii) to distinguish between two competing spatial processes. A preliminary regression model to describe the spatial distribution of bladder cancer incidence rates in 219 counties of the former German Democratic Republic is used to demonstrate the feasibility and flexibility of the proposed exact conditional approach. Furthermore, a theoretical basis to address the migration problem in spatial epidemiology is given and tested against simple spatial clustering.

Suggested Citation

  • Michael Tiefelsdorf, 1998. "Some Practical Applications Of Moran'S I'S Exact Conditional Distribution," Papers in Regional Science, Wiley Blackwell, vol. 77(2), pages 101-129, April.
    • Handle: RePEc:bla:presci:v:77:y:1998:i:2:p:101-129
    DOI: 10.1111/j.1435-5597.1998.tb00710.x
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/j.1435-5597.1998.tb00710.x
    Download Restriction: no
    File URL: https://libkey.io/10.1111/j.1435-5597.1998.tb00710.x?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    Citations

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


    Cited by:

    1. Lawrence A. Brown & Sang-Il Lee & Linda Lobao & Su-Yeul Chung, 2005. "Continuity amidst Restructuring: The U.S. Gender Division of Labor in Geographic Perspective, 1970 and 1990," International Regional Science Review, , vol. 28(3), pages 271-301, July.
    2. Yajuan Wang & Xi Wu & Hongbo Zhu, 2022. "Spatio-Temporal Pattern and Spatial Disequilibrium of Cultivated Land Use Efficiency in China: An Empirical Study Based on 342 Prefecture-Level Cities," Land, MDPI, vol. 11(10), pages 1-15, October.
    3. Min Xu & Chang-Lin Mei & Na Yan, 2014. "A note on the null distribution of the local spatial heteroscedasticity (LOSH) statistic," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 52(3), pages 697-710, May.
    4. Michael Tiefelsdorf & Daniel A Griffith, 2007. "Semiparametric Filtering of Spatial Autocorrelation: The Eigenvector Approach," Environment and Planning A, , vol. 39(5), pages 1193-1221, May.

    More about this item

    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:bla:presci:v:77:y:1998:i:2:p:101-129. 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: Wiley Content Delivery (email available below). General contact details of provider: http://www.blackwellpublishing.com/journal.asp?ref=1056-8190 .

    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.