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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/122694


    Title: Sample size determination for within‐device precision
    Authors: Chiang, Chieh;Hsiao, Chin‐Fu;Liu, Jen‐Pei
    Date: 2014-02-13
    Issue Date: 2022-05-09 12:10:26 (UTC+8)
    Abstract: The within-device precision for quantitative assays is the square root of the total variance, which is defined as the sum of the between-day, between-run, and within-run variances under a two-stage nested random-effects model. Currently, methods for point and interval estimations have been proposed. However, the literature on sample size determination for within-device precision is scarce. We propose an approach for the determination of sample size for within-device precision. Our approach is based on the probability for which the 100(1 − α)% upper confidence bound for the within-device precision smaller than the pre-specified claim is greater than 1 − β. We derive the asymptotic distribution of the confidence upper bound based on the modified large-sample method for sample size determination and allocation. Our study reveals that the dominant term for sample size determination is the between-day variance. Results of simulation studies are reported. An example with real data is used to illustrate the proposed method.
    Relation: Journal of Chemometrics 28(3), p.202-211
    DOI: 10.1002/cem.2595
    Appears in Collections:[Graduate Institute & Department of Mathematics] Journal Article

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