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Robust confidence interval for a residual standard deviation

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  • Douglas Bonett

Abstract

The residual standard deviation of a general linear model provides information about predictive accuracy that is not revealed by the multiple correlation or regression coefficients. The classic confidence interval for a residual standard deviation is hypersensitive to minor violations of the normality assumption and its robustness does not improve with increasing sample size. An approximate confidence interval for the residual standard deviation is proposed and shown to be robust to moderate violations of the normality assumption with robustness to extreme non-normality that improves with increasing sample size.

Suggested Citation

  • Douglas Bonett, 2005. "Robust confidence interval for a residual standard deviation," Journal of Applied Statistics, Taylor & Francis Journals, vol. 32(10), pages 1089-1094.
    • Handle: RePEc:taf:japsta:v:32:y:2005:i:10:p:1089-1094
    DOI: 10.1080/02664760500165339
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