APPLICATIONS OF THE FACTORIAL CALCULUS TO GENERAL UNEQUAL NUMBERS ANALYSES

Abstract

The necessary elements of the calculus for factorials as developed by Kurkjian and Zelen are described, modified where necessary, and applied to the analysis of unbalanced n-way classifications with fixed effects. Estimators for all main effect and interaction effects parameters are obtained along with the associated variances. The sums of squares for each effect eliminating all other effects is presented in a form suitable for direct computation. This form results in considerable computational saving over the method of fitting constants used in general regression theory. The results are applied to the particular case of proportional frequencies in the subclasses.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1963
Accession Number
AD0407963

Entities

People

  • M. Zelen
  • W. T. Federer

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Analysis Of Variance
  • Calculus
  • Combinatorial Analysis
  • Computations
  • Contracts
  • Frequency
  • Government Procurement
  • Governments
  • Identities
  • Mathematical Analysis
  • Mathematics
  • Normal Distribution
  • Procurement
  • United States
  • Universities
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Linear Algebra
  • Regression Analysis.