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Estimation of a regression coefficient after two preliminary tests of significance

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Summary

The estimation of the regression coefficient of a population, defined byE (y)= γ+βx, 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 coefficientsβ 1 andβ 2 respectively, whereβ 2 may possibly be equal toβ 1. Besides this, it is also conjectured that the common conditional varianceσ 2 of the two populations has a specified valueσ 20 . The two preliminary tests are used to resolve these two uncertainties.

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Authors and Affiliations

  1. Department of Statistics and Computer Science, University College London, London, UK

    N. D. Shukla

  2. Lucknow University, Lucknow, India

    N. D. Shukla

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  1. N. D. Shukla
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The author has rejoined Lucknow University, Lucknow India on Oct. 4, 1976 after availing leave for two years.

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Shukla, N.D. Estimation of a regression coefficient after two preliminary tests of significance. Metrika 26, 183–193 (1979). https://doi.org/10.1007/BF01893486

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  • DOI: https://doi.org/10.1007/BF01893486

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