A COMPARISON OF MINIMUM LOGIT CHI SQUARE ESTIMATION AND MAXIMUM LIKELIHOOD ESTIMATION IN rxcx2 CONTINGENCY TABLES: TESTS FOR INTERACTION.

Abstract

The exact small sample properties of twelve goodness of fit tests for interaction for 2x2x2 and 2x2x3 contingency tables are evaluated by enumeration and Monte Carlo sampling. Several modifications of the minimum logit chi square test, the Pearson chi square test, and the likelihood ratio test using an iterative maximum likelihood estimation procedure and three variants of a non-iterative minimum logit chi square estimation procedure are considered. Three criteria are used to evaluate the properties of the tests: (1) the adequacy of the tabular chi square distribution as an approximation to the exact level, (2) the power of the tests, and (3) ease of computation. The minimum logit chi square test (chi sub 13 superscript 2) based upon the non-iterative minimum logit chi square estimation procedure performs the best with respect to the three criteria. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 25, 1968
Accession Number
AD0682248

Entities

People

  • Charles L. Odoroff

Organizations

  • Harvard University

Tags

DTIC Thesaurus Topics

  • Chi Square Test
  • Computations
  • Computing-Related Activities
  • Data Science
  • Goodness Of Fit Tests
  • Information Science
  • Interdisciplinary Science
  • Mathematical Analysis
  • Mathematics
  • Maximum Likelihood Estimation
  • Sampling
  • Statistical Analysis

Fields of Study

  • Mathematics

Readers

  • Library and Information Science/ Studies, Southeast Asia Studies, Bibliography of Vietnam and Lao Studies.
  • Statistical inference.