Multivariable Problems of Statistics and Information Theory.

Abstract

The investigators obtained optimal balanced designs of the mixed factorial type which allow estimation of all main effects. Major advances were made in the theory of D-optimal symmetrical factorial designs whose points constitute a set of parallel hyperplanes in a finite Euclidean space. A very good theory of designs which are very sensitive in the sense that they allow elimination of heterogeneity in several directions within each block was developed. Studies were made in the structure of statistically significant effects in psychological experiments and an important phenomenon was observed. These researches open up new avenues of statistical research, whose practical importance cannot be exaggerated since it directly results in the reduction of experimental costs for any given level of accuracy or in the maximization of accuracy for any given level of expenditure decided upon.

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Document Details

Document Type
Technical Report
Publication Date
Jul 27, 1982
Accession Number
ADA121232

Entities

People

  • Jaya Srivastava

Organizations

  • Colorado State University

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Air Force
  • Classification
  • Combinatorial Analysis
  • Cost Reductions
  • Costs
  • Data Science
  • Factorial Design
  • Geometry
  • Information Science
  • Information Theory
  • Psychology
  • Scientific Research
  • Security
  • Statistics
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Regression Analysis.
  • Theoretical Analysis.

Technology Areas

  • Space