INFORMATION AS A CRITERION OF GOODNESS OF FIT: EXACT CRITICAL VALUES FOR THE CASE OF EQUIPROBABLE ALTERNATIVES.

Abstract

A table of exact critical values of the information measure H is presented for the case of n observations in k equiprobable categories (2 < or = n < or = 15, 2 < or = k < or = 15). H is equivalent to the log likelihood-ratio criterion of goodness of fit. The significance levels given are: a < or = .200, .100, .050, .025, .010, .005, .001. Exact significance levels are presented for a < or = .050, and it is shown that the true significance levels of usual test (based on the chi square approximation to the distribution of the log likelihood-ratio) at the nominal .050 level exceed this value in 55 percent of the cases examined. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 19, 1967
Accession Number
AD0650324

Entities

People

  • James N. Cronholm

Organizations

  • United States Army Medical Research Laboratory

Tags

DTIC Thesaurus Topics

  • Acquisition
  • Observation

Fields of Study

  • Mathematics

Readers

  • Analytical Mechanics
  • Calculus or Mathematical Analysis
  • Computational Modeling and Simulation