Transformations for Multivariate Binary Data

Abstract

The interpretation of statistical data may often be simplified by a preliminary transformation. In the context of contingency tables, one way of achieving this would be to relabel the possible outcomes, or in other words to permute the cells of the table. For a (2 sup d) table, certain permutations have the property that a loglinear model for the cell probabilities transforms in a simple way. These are, in a sense, linear transformations of the original variables. The aim of making such a transformation is to fit the transformed data by a simple model, such as a low order hierarchical model or one in which certain variables are independent of others. A (2 sup 4) table has been analysed with this end in view. All the models were fitted to the original data, and to do this a computer program has been developed which will fit nonhierarchical models by iterative scaling.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1972
Accession Number
AD0747969

Entities

People

  • P. Bloomfield

Organizations

  • Princeton University

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Arithmetic
  • Celestial Brightness
  • Cell Count
  • Coefficients
  • Combinatorial Analysis
  • Computer Programming
  • Computer Programs
  • Equations
  • High Temperature
  • Permutations
  • Probability
  • Probability Distributions
  • Random Variables
  • Statistical Data
  • Statistics
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Linear Algebra
  • Regression Analysis.