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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/41187

    Title: One-stage and two-stage statistical inference under heteroscedasticity
    Authors: 陳順益;Chen, Shun-yi
    Contributors: 淡江大學數學學系
    Keywords: Unknown and unequal variances;ANOVA;Range of independent t variables
    Date: 2001-11-01
    Issue Date: 2010-01-28 06:52:52 (UTC+8)
    Publisher: Taylor & Francis
    Abstract: This paper presents general one-stage and two-stage sampling procedures for testing the hypotheses of the equality of means when the variances are unknown and unequal. The methods use a new range test and an ANOVA test based on independent t variables for an one-way layout. The one-stage procedure is an exact statistical procedure which provides a feasible solution to the two-stage procedure when the required two-stage sample sizes are not met due to time limitation, budget shortage, or other factors that result in early termination of the experiment. An extension to the two-way layout is also considered and the percentage points of the range test for testing the associated hypotheses are tabulated.
    Relation: Communications in Statistics: Simulation and Computation 30(4), pp.991-1009
    DOI: 10.1081/SAC-100107792
    Appears in Collections:[Graduate Institute & Department of Mathematics] Journal Article

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