ON THE ANALYSIS OF MULTIPLE REGRESSION IN k CATEGORIES
- 1 June 1957
- journal article
- research article
- Published by Oxford University Press (OUP) in Biometrika
- Vol. 44 (1-2) , 67-83
- https://doi.org/10.1093/biomet/44.1-2.67
Abstract
The general model, an information theoretic approach and solution to problems of test of hypotheses concerning sets of partial regression coefficients from k categories each involving p+1 variates, is presented and applied to certain data. The significance test is the analysis of variance ratio. It is shown that Carter's (1949) problem involving a ‘correlation effect’ among the ith members of each category reduces to a special case. The case of stochastic dependence among categories has been included by Kullback (1956) in his discussion of the multivariate linear hypothesis.Keywords
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