A Test of Homogeneity Based on Maximum Likelihood Estimates

Abstract

A sample is said to be homogeneous, if all its elements are drawn from the same population, otherwise heterogeneous. It is self-evident that there is no sense in estimating the parameters of an assumed distribution from heterogeneous samples. Considering the fact that samples of fatigue test data are frequently composed of elements drawn from two or even three populations, it is an important rule, frequently violated, to start statistical analyses of a given sample by stating whether it is homogeneous or not. A simple test based on the alternative maximum likelihood estimates of the complete sample and of the sample more or less truncated is presented.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1978
Accession Number
ADA058102

Entities

People

  • Waloddi Weibull

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Aeronautical Laboratories
  • Air Force
  • Air Force Facilities
  • Chi Square Test
  • Computer Programs
  • Data Science
  • Distribution Functions
  • Equations
  • Fatigue Tests (Mechanics)
  • Governments
  • Information Science
  • Materials Laboratories
  • Order Statistics
  • Statistical Analysis
  • Statistical Samples
  • Statistical Sampling
  • Statistics

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Theoretical Analysis.