Linear Statistical Regression and Functional Relations

Abstract

An approach to linear least squares or regression with errors of measurement in either one or both variables is covered, giving a computationally convenient procedure for all of the appropriate statistical significance tests or tests of hypotheses concerning the true unknown parameters and the fitted line. The problem of meaningful physical functional relations is also discussed, showing the relation to and a comparison with usual least squares. Pertinent examples illustrating various applications of the theory are also given.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1975
Accession Number
ADA018651

Entities

People

  • Frank E. Grubbs

Organizations

  • Ballistic Research Laboratory

Tags

Communities of Interest

  • Air Platforms
  • Autonomy
  • Biomedical
  • Energy and Power Technologies
  • Weapons Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Aeronautical Engineering
  • Analysis Of Variance
  • Armor
  • Ballistics
  • Data Science
  • Engineering
  • Equations
  • Information Science
  • Measurement
  • Munitions
  • Muzzle Velocity
  • Operations Research
  • Physical Sciences
  • Probability
  • Random Variables
  • Regression Analysis

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Computational Modeling and Simulation
  • Theoretical Analysis.