Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
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Interval Estimation for Sum of Variance Components in a Simple Linear Regression Model with Unbalanced Nested Error Structure

  • Park, Dong-Joon (Division of Mathematical Sciences, Pukyong National University)
  • Published : 2003.08.01
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Abstract

Those who are interested in making inferences concerning linear combination of valiance components in a simple linear regression model with unbalanced nested error structure can use the confidence intervals proposed in this paper. Two approximate confidence intervals for the sum of two variance components in the model are proposed. Simulation study is peformed to compare the methods. The methods are applied to a numerical example and recommendations are given for choosing a proper interval.

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References

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  1. Statistical Methods for Repeated Measures Data with Three Repeat Factors vol.17, pp.1, 2004, https://doi.org/10.5351/KJAS.2004.17.1.001
  2. Misleading Confidence Interval for Sum of Variances Calculated by PROC MIXED of SAS vol.17, pp.1, 2004, https://doi.org/10.5351/KJAS.2004.17.1.145