Test for linear trend in 2 x K ordered tables with open-ended categories

Test for linear trend in 2 x K ordered tables with open-ended categories
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DOI:
10.2307/2533575
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发表时间:
1997-09-01
期刊:
影响因子:
1.9
通讯作者:
Gautam, S
Gautam, S
中科院分区:
数学3区
文献类型:
--
作者:
Gautam, S

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对于先验已知第一个 (K - 1) 个类别的分数但最后一个类别的分数未知的情况,建议采用评估 2 x K 有序表中的趋势(正或负)的方法。本文将这种类别称为开放式类别。在评估 Cochran-Armitage-Mantel (CAM) 趋势时,经常会遇到具有开放式类别的有序表。在本文中,给出了检验统计量的分布,并进行了模拟来检查渐进性。然后通过现有数据集来举例说明该方法。
A method of evaluating trend (positive or negative) in 2 x K ordered tables is suggested for cases in which the scores for the first (K - 1) categories are known a priori but the score for the last category is not known. Such a category is termed as open-ended category in this paper. Ordered tables with an open-ended category are often encountered while evaluating the Cochran-Armitage-Mantel (CAM) trend. In the present paper, the distribution of the test statistic is presented and simulations are carried out to check the asymptotics. The method is then exemplified by an existing data set.