Exact Tests for the Main Effects' Variance Components in an Unbalanced Random Two-Way Model.

Abstract

Exact tests are derived for testing hypotheses concerning the variance components of the main effects in an unbalanced random two-way crossed classification with interaction model. The tests are based on four sums of squares which are distributed independently as scalar multiples of chi-squared variates. These sums of squares can also be used to find an exact test concerning the interaction variance component, and to obtain simultaneous confidence intervals on all continuous functions of the model's variance components. A study is made concerning the power of the proposed tests, including a comparison with other approximate tests. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1986
Accession Number
ADA168823

Entities

People

  • Andre' I. Khuri
  • Ramon C. Littell

Organizations

  • University of Florida

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Analysis Of Variance
  • Classification
  • Computer Simulations
  • Covariance
  • Data Science
  • Data Sets
  • Eigenvalues
  • Frequency
  • Hypotheses
  • Information Science
  • Intervals
  • Military Research
  • Numbers
  • Simulations
  • Statistics
  • Universities

Fields of Study

  • Mathematics

Readers

  • Statistical inference.