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    Title: 多種反應試驗之統計分析
    Other Titles: Statistical Analysis of Multiresponse Experiments
    Authors: 魏應澤
    Wei, Ying-tser
    Contributors: 統計所
    Keywords: 多種反應試驗;統計分析
    Date: 1970
    Issue Date: 2014-06-30 18:40:11 (UTC+8)
    Abstract: This paper is concerned with the statistical analysis of experiments in which more than one response (or characteristic) is observed (or measured) on each experimental unit. From the results of the multivariate general linear model and tests of significance. for the general linear hypothesis, the multivariate analysis of variance is extended to investigate multiresponse experiments with a one-way classification, the randomized block design, and a two-way classification. Moreover; the 100(1-α) percent simultaneous confidence intervals for all linear functions of the difference of two treatment-effect vectors are derived from the general results of multiple comparisons in the multivariate . analysis of variance. The complicated matrix algebra used in tests of significance and confidence interval estimation is expressed in t he comprehensive forms by the summation notation. Finally, the multivariate analysis of variance is illustrated with the data. obtained from the . perennial experiments with pasture varieties at different locations in Taiwan.
    Relation: 中國統計學報, 8(2), 2975-2999
    Data Type: article
    Appears in Collections:[Department of Statistics] Periodical Articles

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