Journal of the Korean Statistical Society

The Korean Statistical Society (한국통계학회)
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Confidence Intervals in Three-Factor-Nested Variance Component Model

  • Kang, Kwan-Joong (Department of Mathematics, Dong-A University, Pusan, 604-714)
  • Published : 1993.06.01
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Abstract

In the three-factor nested variance component model with equal numbers in the cells given by $y_{ijkm} = \mu + A_i + B_{ij} + C_{ijk} + \varepsilon_{ijkm}$, the exact confidence intervals of the variance component of $\sigma^2_A, \sigma^2_B, \sigma^2_C, \sigma^2_{\varepsilon}, \sigma^2_A/\sigma^2_{\varepsilon}, \sigma^2_B/\sigma^2_{\varepsilon}, \sigma^2_C/\sigma^2_{\varepsilon}, \sigma^2_A/\sigma^2_C, \sigma^2_B/\sigma^2_C$ and $\sigma^2_A/\sigma^2_B$ are not found out yet. In this paper approximate lower and upper confidence intervals are presented.

Keywords

References

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