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WROCŁAW UNIVERSITY
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TECHNOLOGY

Contents of PMS, Vol. 19, Fasc. 1,
pages 15 - 21
 

AN ANCILLARY PARADOX IN TESTING

Kun He

Abstract: In multiple linear regression with normally distributed errors, it is shown that a test procedure for a hypothesis about the intercept which is a -admissible when the design matrix is fixed is inadmissible when the design matrix is an ancillary statistic. The result of this paper is a complementary one to Brown’s paper [2].

2000 AMS Mathematics Subject Classification: Primary: -; Secondary: -;

Key words and phrases: -

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