PRINCIPLES OF ERROR THEORY AND CARTOGRAPHIC APPLICATIONS

Abstract

One of the most useful contributions of error theory is the precision index which identifies the error distribution and specifies the probability that the true error in a quantity does not exceed a certain value. This situation is applicable to the evaluation of map and geodetic information, in that it makes possible meaningful accuracy statements having interpretation, and is compatible with established map accuracy standards which specify limits of permissible error in various categories. Standardized procedures and supporting theory for computing linear, circular, and spherical precision indexes are presented. The recommended procedure for computing the circular or spherical standard error from linear standard errors in X and Y, or X, Y, and Z directions, respectively, is to average the linear standard errors. Other precision indexes in the same error distribution are easily computed from the linear, circular, and spherical standard errors -- the most important precision indexes.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1962
Accession Number
AD0276978

Entities

People

  • Clyde R. Greenwalt
  • Melvin E. Shultz

Organizations

  • Aeronautical Chart and Information Center

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Distribution Functions
  • Errors
  • Grids
  • Measurement
  • New York
  • Normal Distribution
  • Performance Engineering
  • Probability
  • Probability Density Functions
  • Probability Distribution Functions
  • Probability Distributions
  • Random Variables
  • Standards
  • Statistics
  • Three Dimensional
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Computational Modeling and Simulation
  • Geodesy
  • Theoretical Analysis.