1. A MULTIVARIATE EXTENSION OF FRIEDMAN'S X2r-TEST.
- Author
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Gerig, Thomas M.
- Subjects
- *
CHI-squared test , *DISTRIBUTION (Probability theory) , *EXTENSIONS , *ABSTRACT algebra , *PERMUTATIONS , *MATRICES (Mathematics) , *FIELD extensions (Mathematics) , *PROBLEM solving , *RATIO & proportion - Abstract
This paper deals with a multivariate extension of Friedman's chi[sup 2, sub tau]-test. A rank permutation distribution and the large sample properties of the criterion are studied. The asymptotic relative efficiency (A.R.E.) for a sequence of translation alternatives is studied and bounds are given for certain special cases. It is shown that, under specified conditions, the A.R.E. of this test with respect to the likelihood ratio test is largest, when the block dispersion matrices differ and can be greater than unity when the differences are large. [ABSTRACT FROM AUTHOR]
- Published
- 1969
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