IDEAS home Printed from https://ideas.repec.org/a/bla/jorssc/v30y1981i3p286-295.html
   My bibliography  Save this article

Regression of Area Mortality Rates on Expalanatory Variables: What Weighting is Appropriate?

Author

Listed:
  • Stuart J. Pocock
  • Derek G. Cook
  • Shirley A. A. Beresford

Abstract

One can often gain insight into the aetiology of a disease by relating mortality rates in different areas to explanatory variables. Multiple regression techniques are usually employed, but unweighted least squares may be inappropriate if the areas vary in population size. Also, a fully weighted regression, with weights inversely proportional to binomial sampling variances, is usually too extreme. This paper proposes an intermediate solution via maximum likelihood which takes account of three sources of variation in death rates: sampling error, explanatory variables and unexplained differences between areas. The method is also adapted for logit (death rates), standardized mortality ratios (SMRs) and log (SMRs). Two examples are presented.

Suggested Citation

  • Stuart J. Pocock & Derek G. Cook & Shirley A. A. Beresford, 1981. "Regression of Area Mortality Rates on Expalanatory Variables: What Weighting is Appropriate?," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 30(3), pages 286-295, November.
    • Handle: RePEc:bla:jorssc:v:30:y:1981:i:3:p:286-295
    DOI: 10.2307/2346353
    as

    Download full text from publisher

    File URL: https://doi.org/10.2307/2346353
    Download Restriction: no
    File URL: https://libkey.io/10.2307/2346353?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. Carlos Díaz-Venegas, 2014. "Identifying the Confounders of Marginalization and Mortality in Mexico, 2003–2007," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 118(2), pages 851-875, September.
    2. Peter Congdon, 1990. "Issues in the Analysis of Small Area Mortality," Urban Studies, Urban Studies Journal Limited, vol. 27(4), pages 519-536, August.
    3. Aregay, Mehreteab & Shkedy, Ziv & Molenberghs, Geert, 2013. "A hierarchical Bayesian approach for the analysis of longitudinal count data with overdispersion: A simulation study," Computational Statistics & Data Analysis, Elsevier, vol. 57(1), pages 233-245.
    4. M L Senior & S J New & A C Gatrell & B J Francis, 1993. "Geographic Influences on the Uptake of Infant Immunisations: 1. Concepts, Models, and Aggregate Analyses," Environment and Planning A, , vol. 25(3), pages 425-436, March.
    5. Dankmar Böhning & Uwe Malzahn & Jesus Sarol & Sasivimol Rattanasiri & Annibale Biggeri, 2002. "Efficient Non-Iterative and Nonparametric Estimation of Heterogeneity Variance for the Standardized Mortality Ratio," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 54(4), pages 827-839, December.
    6. Jordan, Paul, 1995. "Estimation of tolerance limits from reference data," Computational Statistics & Data Analysis, Elsevier, vol. 19(6), pages 655-668, June.
    7. 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.
    8. Martin Gächter & Engelbert Theurl, 2010. "Convergence of the Health Status at the Local Level: Empirical Evidence from Austria," NRN working papers 2010-09, The Austrian Center for Labor Economics and the Analysis of the Welfare State, Johannes Kepler University Linz, Austria.
    9. P Congdon, 1993. "Approaches to Modelling Overdispersion in the Analysis of Migration," Environment and Planning A, , vol. 25(10), pages 1481-1510, October.

    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:jorssc:v:30:y:1981:i:3:p:286-295. 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: https://edirc.repec.org/data/rssssea.html .

    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.