On Watson's ANOVA for Directions

Abstract

Watson's ANOVA technique for analyzing unit vectors in p dimensions has been usually used with directional data, with p=2 or 3. It is shown how the one-way ANOVA can be extended to a multiway layout, and an example is given using coal-cleat directions. The accuracy of the techniques is reexamined, and it is shown why this can be expected to be greater for p=3 than for p=2, and possibly also for p > 3. Finally, conditional tests for directions are compared with the unconditional ANOVA test. It is shown that a characterization of the gamma distribution permits the conditional significance points to be found from the unconditional points using an argument which, in general, is valid.

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Document Details

Document Type
Technical Report
Publication Date
Jun 22, 1992
Accession Number
ADA253576

Entities

People

  • M. A. Stephens

Organizations

  • Stanford University

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Accuracy
  • Analysis Of Variance
  • Asymptotic Series
  • Bessel Functions
  • Data Analysis
  • Data Mining
  • Data Science
  • Directional
  • Distribution Theory
  • Earth Sciences
  • Information Science
  • Military Research
  • Statistical Samples
  • Statistics
  • Students
  • United States
  • United States Government

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  • Regression Analysis.