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    Author(s): S. P. Verrill; Mark Durst
    Date: 2005
    Source: American statistician. Vol. 59, no. 4 (Nov. 2005): pages 287-291.
    Publication Series: Miscellaneous Publication
    PDF: View PDF  (308 KB)

    Description

    For general linear models with normally distributed random errors, the probability of a Type II error decreases exponentially as a function of sample size. This potentially rapid decline reemphasizes the importance of performing power calculations.

    Publication Notes

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    • This article was written and prepared by U.S. Government employees on official time, and is therefore in the public domain.

    Citation

    Verrill, S. P.; Durst, Mark. 2005. The decline and fall of Type II error rates. American statistician. Vol. 59, no. 4 (Nov. 2005): pages 287-291.

    Keywords

    Asymptotic relative efficiency, experimental design, Hodges-Lehmann efficiency, linear models, Mills’ ratio, minimum detectable difference, noncentral F, normal tail, Pitman efficiency, power, sample size

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