TESTS FOR RANK CORRELATION COEFFICIENTS .1.

TESTS FOR RANK CORRELATION COEFFICIENTS .1.
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DOI:
10.1093/biomet/44.3-4.470
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发表时间:
1957-01-01
期刊:
影响因子:
2.7
通讯作者:
PEARSON, ES
PEARSON, ES
中科院分区:
数学2区
文献类型:
--
作者:
FIELLER, EC;HARTLEY, HO;PEARSON, ES

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下面是对所有抽样数据计算的第三个系数,我们希望以后考虑:(c)费舍尔-耶茨系数。令6(i I n)是所谓的正态顺序统计量,即来自正态总体的n个观测样本中第i个最大标准化偏差的期望值。然后,我们可以将这些得分值附加到u排名和v排名。Fisher & Yates(1938,p.50)建议,等级相关的度量可以从这些分数的积矩相关系数中获得,即rFE 6(i In)6(vi In)/62(i In)。(4)i= 1/i
The followilng is a third coefficient which has been computed for all the sampling data and which we hope to consider later:(c) The Fisher-Yates coefficient. Let 6 (i I n) be a so-called normal order statistic, ie the expected value of the ith largest standardized deviate in a sample of n observations from a normal population. Then we may attach these score values to both the u rankings and the v rankings. Fisher & Yates (1938, p. 50) have suggested that a measure of rank correlation might be obtained from the product moment correlation coefficient of these scores, namely rF E 6 (i I n) 6 (vi I n)/62 (i 1 n).(4) i= 1/i