REGRESSION PARAMETERS FOR PAIRS OF EQUALLY UNCERTAIN VARIABLES

Abstract

The correlation of radiochemical data from samples of fractionated nuclear debris involves the treatment of two variables whose uncertainties are comparable. We considered three new criteria for the establishment of regression parameters for such correlations (least square perpendicular distances between points and the line, bisection of the angle formed by the certain-x and certain-y regression lines, and adoption of the geometric mean of the certain-x and certain-y regression slopes). We concluded that the geometric-mean slope b prime was most satisfactory. It is related to the usual certain-x regression slope b subscript x,x and the coefficient of correlation r by the simple expression b prime = b subscript x,x/the absolute value of r.

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Document Details

Document Type
Technical Report
Publication Date
Jul 11, 1967
Accession Number
AD0659977

Entities

People

  • Edward C. Freiling
  • Glenn R. Crocker

Organizations

  • Naval Radiological Defense Laboratory

Tags

Communities of Interest

  • Counter WMD

DTIC Thesaurus Topics

  • Analytic Geometry
  • Chemical Industry
  • Chemistry
  • Coefficients
  • Computing-Related Activities
  • Data Science
  • Equations
  • Fractionation
  • Information Science
  • Least Squares Method
  • New York
  • Nuclear Energy
  • Physical Chemistry
  • Regression Analysis
  • Standards
  • Statistical Analysis
  • Statistics

Fields of Study

  • Mathematics

Readers

  • Linear Algebra
  • Regression Analysis.