Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
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Alternative Confidence Intervals on the Sum of Variance Components in a Simple Regression Model with Unbalanced Nested Error Structure

  • Park Dong Joon (Pukyong National University College of Natural Sciences Statistics) ;
  • Lee Soo Jin (Pukyong National University College of Natural Sciences Statistics)
  • Published : 2005.04.01
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Abstract

In order to construct confidence intervals on the sum of variance components in a simple regression model with unbalanced nested error structure, alternative confidence intervals using Graybill and Wang(1980) and generalized inference concept introduced by Tsui and Weerahandi(1989) are proposed. Computer simulation programmed by SAS/IML is performed to compare the simulated confidence coefficients and average interval lengths of the proposed confidence intervals. A numerical example is provided to demonstrate the confidence intervals and to show consistency between the example and simulation results.

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References

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