Two-Way Analysis of Variance for Weibull Populations.

Abstract

Expressions are given for the maximum likelihood estimators of the Weibull shape parameter using data from a two-way classification experiment under five hypothesized relationships for the scale parameter in each cell, viz, the scale parameter (1) is constant, (2) has a multiplicative row effect, (3) has a multiplicative column effect, (4) has a multiplicative row and column effect, and (5) has multiplicative row and column and interaction effects. Procedures for analyzing a two-way layout without interaction (a randomized block design) are discussed and illustrated. Techniques are given for estimation of, and inference on, the location parameter of the three-parameter Weibull distribution and a military application of the technique is given. Software improvements are cited in the Monte Carlo simulation computer program for the computation of the distributions of pivotal functions required for analyzing Weibull regression experiments. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1980
Accession Number
ADA090170

Entities

People

  • John I. Mccool

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Air Force Facilities
  • Analysis Of Variance
  • Computer Programs
  • Confidence Limits
  • Data Analysis
  • Data Mining
  • Data Science
  • Information Science
  • Life Tests
  • Plastic Explosives
  • Probability
  • Random Variables
  • Sampling
  • Scientific Research
  • Simulations
  • Statistical Algorithms

Fields of Study

  • Mathematics

Readers

  • Regression Analysis.
  • Statistical inference.

Technology Areas

  • AI & ML
  • AI & ML - Bayesian Inference