Multivariate information transmission

A multivariate analysis based on transmitted information is presented. It is shown that sample transmitted information provides a simple method for measuring and testing association in multi-dimensional contingency tables. Relations with analysis of variance are pointed out, and statistical tests are described.This work was supported in part by the Air Force Human Factors Operations Research Laboratories, and in part jointly by the Army, Navy, and Air Force under contract with the Massachusetts Institute of Technology.Several of the indices and tests discussed in this paper have been developed independently by J. E. Keith Smith (11) at the University of Michigan, and by W. R. Garner at Johns Hopkins University.