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On the Analysis of Multiple Regression in k Categories
S. Kullback and H. M. Rosenblatt
Vol. 44, No. 1/2 (Jun., 1957), pp. 67-83
Stable URL: http://www.jstor.org/stable/2333241
Page Count: 17
You can always find the topics here!Topics: Matrices, Regression coefficients, Null hypothesis, Multiple regression, Analysis of variance, Unbiased estimators, Linear regression, Logical givens, Regression analysis, Information theory
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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.
Biometrika © 1957 Biometrika Trust