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Fixed-Width Simultaneous Confidence Intervals for Multinormal Means in Several Intraclass Correlation Models

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  • Aoshima, Makoto
  • Mukhopadhyay, Nitis

Abstract

The problem of constructing fixed-width simultaneous confidence intervals for comparing mean vectors ofk([greater-or-equal, slanted]2) independent multivariate normal distributions is considered when those covariance matrices have the intraclass correlation structures. Two-stage procedures are developed for which the simultaneous confidence levels are shown to beat least1-[alpha], the preassigned nominal value, 0

Suggested Citation

  • Aoshima, Makoto & Mukhopadhyay, Nitis, 1998. "Fixed-Width Simultaneous Confidence Intervals for Multinormal Means in Several Intraclass Correlation Models," Journal of Multivariate Analysis, Elsevier, vol. 66(1), pages 46-63, July.
    • Handle: RePEc:eee:jmvana:v:66:y:1998:i:1:p:46-63
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    References listed on IDEAS

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    1. Ajit Chaturvedi & N. Shukla & Pramod Shukla, 1992. "Fixed-width confidence intervals for contrasts in the means," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 44(1), pages 157-167, March.
    2. N. Mukhopadhyay, 1980. "A consistent and asymptotically efficient two-stage procedure to construct fixed width confidence intervals for the mean," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 27(1), pages 281-284, December.
    3. Fujikoshi, Yasunori, 1985. "Selection of variables in two-group discriminant analysis by error rate and Akaike's information criteria," Journal of Multivariate Analysis, Elsevier, vol. 17(1), pages 27-37, August.
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    Cited by:

    1. Nitis Mukhopadhyay & Tumulesh K. S. Solanky, 2012. "On Two-Stage Comparisons with a Control Under Heteroscedastic Normal Distributions," Methodology and Computing in Applied Probability, Springer, vol. 14(3), pages 501-522, September.
    2. Kazuyoshi Yata & Makoto Aoshima, 2012. "Inference on High-Dimensional Mean Vectors with Fewer Observations Than the Dimension," Methodology and Computing in Applied Probability, Springer, vol. 14(3), pages 459-476, September.

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