A Complete Characterization of Triply Balanced Matrices with Applications to Survey Sampling.

Abstract

R x L triply balanced matrices arise in cross validation studies and in estimating the mean square errors of nonlinear statistics in many large scale survey samplings. It is shown that: (1) Any R x L triply balanced matrix and an orthogonal array OA(R,L,2,3; lambda) are one and the same object up to a possible notational change of the two symbols of the array to + and - respectively, (2) R is a multiple of 8 and L < or = R/2, and (3) The problem of the construction of R x L triply balanced matrices, 3 < or = L < or = R/2, is completely resolved modulo the existence of Hadamard matrices of order R/2. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1984
Accession Number
ADA147083

Entities

People

  • A. S. Hedayat
  • H. Pesotan

Organizations

  • University of Illinois at Chicago

Tags

DTIC Thesaurus Topics

  • Availability
  • Classification
  • Computer Science
  • Construction
  • Data Science
  • Experimental Design
  • Illinois
  • Information Science
  • Mathematical Analysis
  • Mathematics
  • Observation
  • Sampling
  • Security
  • Statistical Analysis
  • Statistics
  • Surveys
  • Universities

Fields of Study

  • Mathematics

Readers

  • Aerial Delivery - Logistics and Supply Chain Management.
  • Regression Analysis.
  • Statistical inference.