Properties of the geometrically averaged ratio, an alternative standardized measure

Epidemiology. 1999 Jul;10(4):456-9. doi: 10.1097/00001648-199907000-00017.

Abstract

In epidemiology, the comparative mortality figure and the standardized mortality ratio are standardized measures in common use. Both are weighted averages of rate ratios (or observed/expected death count ratios) on the arithmetic scale. I propose a new standardized measure, the geometrically averaged ratio (GAR), which is defined through simple averaging on the logarithmic scale. I show that, in addition to providing a valid comparison between populations, the geometrically averaged ratio possesses the following desirable properties: (1) invertibility and invariance of standardized sex ratios and (2) interpopulational comparability with different standards.

Publication types

  • Research Support, Non-U.S. Gov't

MeSH terms

  • Epidemiologic Methods*
  • Female
  • Humans
  • Male
  • Mortality
  • Statistics as Topic
  • Vital Statistics*