Estimation of a regression coefficient after two preliminary tests of significance |
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| Authors: | N D Shukla |
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| Institution: | (1) Department of Statistics and Computer Science, University College London, London, UK;(2) Lucknow University, Lucknow, India |
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| Abstract: | Summary The estimation of the regression coefficient of a population, defined byE (y)=  + x, incorporating two preliminary tests of significance has been discussed. The experimenter has two random samples of different sizes from two such populations, as defined above, with regression coefficients
1 and
2 respectively, where
2 may possibly be equal to
1. Besides this, it is also conjectured that the common conditional variance
2 of the two populations has a specified value
0
2
. The two preliminary tests are used to resolve these two uncertainties.The author has rejoined Lucknow University, Lucknow India on Oct. 4, 1976 after availing leave for two years. |
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