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December, 1951 Normal Regression Theory in the Presence of Intra-Class Correlation
Max Halperin
Ann. Math. Statist. 22(4): 573-580 (December, 1951). DOI: 10.1214/aoms/1177729547


In this paper we prove that certain estimators and tests of significance used in regression analysis when observations are independent are equally valid in the presence of intra-class correlation. An application of this result is presented for the situation in which several replications of the correlated set of observations are available. As a special case of this application, it is shown that the usual test of ``column effects'' in the analysis of variance for a two-way classification remains valid when rows are independent and columns are uniformly correlated. This latter fact is also pointed out in [3].


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Max Halperin. "Normal Regression Theory in the Presence of Intra-Class Correlation." Ann. Math. Statist. 22 (4) 573 - 580, December, 1951.


Published: December, 1951
First available in Project Euclid: 28 April 2007

zbMATH: 0045.41205
MathSciNet: MR43428
Digital Object Identifier: 10.1214/aoms/1177729547

Rights: Copyright © 1951 Institute of Mathematical Statistics

Vol.22 • No. 4 • December, 1951
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