Two-Way Analysis of Variance for Weibull Populations.

Abstract

Techniques and software are developed for the analysis of experiments in which the response variable follows the two-parameter and three-parameter Weibull distribution. For the two-parameter case the analogue of the analysis of variance is considered in which the hypothesis that the scale parameter is affected by the levels of an external factor is tested by a shape parameter ratio test. The analogue of Weibull regression is also treated for the case where the scale parameter varies as a power function of a quantitative external factor. A new method is found for drawing inferences on the location parameter of the three-parameter Weibull model, based on maximum likelihood shape parameter estimates. The sample sizes and censoring numbers for which empirical distribution have been determined are summarized. A summary is given of the software developed. Several applications of the techniques are also summarized. (Author)

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1978
Accession Number
ADA064585

Entities

People

  • John I. Mccool

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Analysis Of Variance
  • Classification
  • Computer Programs
  • Confidence Limits
  • Contracts
  • Data Science
  • Equations
  • Estimators
  • Information Science
  • Intervals
  • Life Tests
  • Precision
  • Random Variables
  • Reliability
  • Scientific Research
  • Simulations

Fields of Study

  • Mathematics

Readers

  • Business Analytics
  • Statistical inference.

Technology Areas

  • AI & ML
  • AI & ML - Bayesian Inference