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International Journal of Mathematics and Mathematical Sciences
Volume 17 (1994), Issue 1, Pages 173-180

Testing the Stability of Regression Parameters When Some Additional Data Sets Are Available

Department of Management and Quantitative Methods, Illinois State University, Normal, Illinois 61761, USA

Received 2 June 1992; Revised 8 September 1992

Copyright © 1994 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We consider the problem of testing the stability of regression parameters in regression lines of different populations when some additional, but unidentified, data sets from those populations are available. The standard test (T0) discards the additional data and tests the stability of the regression parameters using only the data sets from identified populations. We propose two test procedures (T1 and T2) utilizing all the available data, because the additional data may contain information about the parameters of the regression lines which are tested for stability. A power comparison among the tests is also presented. It is shown that T1 always has larger power than T0. In certain situations T2 has the largest power.