THE NEGATIVE EXPONENTIAL WITH CUMULATIVE ERROR.

Abstract

In certain tracer experiments, a biologist may inject a tagged substance in an animal and, among other things, measure the fraction of material excreted in the urine each day. Assuming the true value to be a negative exponential in time, two error models (homoscedastic vs. proportional error) and two methods of analysis (incremental vs. cumulative) are compared. The general conclusion is that one should be fairly sure which model is appropriate and should have a reasonable notion of the size of the rate constant beta relative to the length of the experimental run before attempting to estimate beta from a logarithmic transformation of the periodic increments or of the cumulative amount remaining. (Author)

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1968
Accession Number
AD0667789

Entities

People

  • Harry M. Hughes
  • M. Bryan Danford

Organizations

  • United States Air Force School of Aerospace Medicine

Tags

DTIC Thesaurus Topics

  • Materials

Fields of Study

  • Mathematics

Readers

  • Aerosol Science/Aerosol Physics
  • Statistical inference.
  • Theoretical Analysis.