A Least-Squares Straight-Line Fitting Algorithm with Automatic Error Determination

Abstract

We demonstrate a new generalized least squares fitting method which can be used to estimate the slope of the best fitting straight line that results when two separate data sets which are expected to be linearly correlated are subject to different uncertainties in their measurements. The algorithm determines not only the optimum slope, but also produces estimates of the intrinsic errors associated with each data set. It requires almost no initial information about the errors in each technique.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1998
Accession Number
ADA353582

Entities

People

  • Tayananthan Thayaparan
  • Wayne K. Hocking

Organizations

  • Defence Research and Development Canada

Tags

Communities of Interest

  • Materials and Manufacturing Processes
  • Space

DTIC Thesaurus Topics

  • Algorithms
  • Automatic
  • Classification
  • Data Analysis
  • Data Science
  • Data Sets
  • Errors
  • Estimators
  • Gaussian Distributions
  • Information Science
  • Measurement
  • National Security
  • Normal Distribution
  • Security
  • Standards
  • Statistical Algorithms
  • Statistics

Readers

  • Approximation Theory.