If you need an accessible version of this item please contact JSTOR User Support

Inferences About Exposure-Disease Associations Using Probability-of- Exposure Information

Glen A. Satten and Lawrence L. Kupper
Journal of the American Statistical Association
Vol. 88, No. 421 (Mar., 1993), pp. 200-208
DOI: 10.2307/2290714
Stable URL: http://www.jstor.org/stable/2290714
Page Count: 9
  • Download PDF
  • Cite this Item

You are not currently logged in.

Access your personal account or get JSTOR access through your library or other institution:

login

Log in to your personal account or through your institution.

If you need an accessible version of this item please contact JSTOR User Support
Inferences About Exposure-Disease Associations Using Probability-of- Exposure Information
Preview not available

Abstract

Unconditional and conditional likelihood methods are proposed for modeling odds and odds ratios relating a binary disease variable and an exposure variable that is only known probabilistically (e.g., via measurement of a surrogate exposure variable), while adjusting appropriately for a vector of covariables. Assuming nondifferential errors, a probabilistic structure is developed that permits analysis of the marginal relation between disease and the surrogate while maintaining important properties of the marginal relation between disease and true exposure. In particular, analyses conditioned on marginal totals in surrogate-disease tables remove the same nuisance parameters as are removed in a conditional analysis of true exposure-disease tables. In addition, a relation between the probability of exposure (POE) in the disease and disease-free groups is derived, permitting the use of information about exposure from populations with structure different from the study population. Examples are presented illustrating methods appropriate when the POE values are known or when they must be estimated using partial information on true exposure; in this latter case, the exposure data may be considered to be missing at random.

Page Thumbnails

  • Thumbnail: Page 
200
    200
  • Thumbnail: Page 
201
    201
  • Thumbnail: Page 
202
    202
  • Thumbnail: Page 
203
    203
  • Thumbnail: Page 
204
    204
  • Thumbnail: Page 
205
    205
  • Thumbnail: Page 
206
    206
  • Thumbnail: Page 
207
    207
  • Thumbnail: Page 
208
    208