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Problems in Ratio Correlation - The Case of Deterrence Research

NCJ Number
81802
Journal
Social Forces Volume: 60 Issue: 3 Dated: (March 1982) Pages: 791-810
Author(s)
C H Logan
Date Published
1982
Length
20 pages
Annotation
Potential problems in ratio correlation cannot be resolved outside a particular substantive context. Within the context of deterrence research, several approaches are examined: the 'conceptual-meaning' resolution, the Pearsonian approximation formula and null comparison, simulation techniques, decomposition into component covariances, part correlation, and the use of residual scores.
Abstract
A simulation experiment shows that when the terms used in the measures of certainty of imprisonment and crime rate are randomly scrambled, the resulting ratios correlate in a manner comparable to what occurs with the data in their original form. These scrambled-data correlations, however, are due purely to artifactual effects of the common term. The most useful test for the existence of this common-term artifact appears to be the technique of part correlation. With empirical imprisonment data, the part correlations are lower than the zero-order correlations, supporting the possibility that the original correlations may have been at least partially artifactual. (Social Forces and author abstract)