淡江大學機構典藏:Item 987654321/20615
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    题名: Exact Test Critical Values for Correlation Testing with Application
    作者: Chang, Ching-Hui;林志娟;Lin, Jyh-Jiuan;Pal, Nabendu
    贡献者: 淡江大學統計學系
    关键词: Asymptotic variance;confidence interval;size;power
    日期: 2008-06-01
    上传时间: 2009-11-30 12:53:48 (UTC+8)
    出版者: World Scientific and Engineering Academy and Society (WSEAS)
    摘要: Tables of critical values for the exact test method based on the maximum likelihood estimator (MLE) have been obtained to test a hypothesis on the correlation coefficient between the components of a bivariate normal random vector. The exact test is then compared, in terms of size and power, with the other popular methods, namely - the ‘z - test’, the ‘modified z - test’ and the ‘t - test’. While these popular methods have almost identical size and power to the exact test for large samples, their small sample performance is far from satisfactory as evident from our extensive numerical computations. Thus, our tables of critical values are useful when sample size is not large (i.e., ≤ 30 ). Also, it is demonstrated through a real-life dataset how the tables of critical values can be used for interval estimation.
    關聯: WSEAS Transactions on Mathematics 7(6), pp.363-381
    显示于类别:[統計學系暨研究所] 期刊論文

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