MULTIPLE RANGE TESTS FOR CORRELATED AND HETEROSCEDASTIC MEANS

MULTIPLE RANGE TESTS FOR CORRELATED AND HETEROSCEDASTIC MEANS
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DOI:
10.2307/2527799
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发表时间:
1957-01-01
期刊:
影响因子:
1.9
通讯作者:
DUNCAN, DB
DUNCAN, DB
中科院分区:
数学3区
文献类型:
--
作者:
DUNCAN, DB

文献摘要

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以前已经为不相关和同方差均值开发了完整的多范围检验。提出了一种方法,用于将这些检验推广到具有相关和/或异方差均值的情况,例如具有不相等重复和来自协方差分析和不完全区组设计的调整均值的情况。还提出了一种对大量均值进行多重范围检验的捷径跳跃方法。简要讨论了拟议测试的性质,并得出结论,这些测试非常接近所需的测试。
Complete multiple range tests have previously been developed for uncorrelated and homoscedastic means. A method is presented for extending these tests to cases with correlated and/or heteroscedastic means such as ones with unequal replications and adjusted means from analyses of covariance and incomplete block designs. A short-cut skipping method is also presented for applying multiple range tests to a large number of means. The properties of the proposed tests are discussed briefly and are concluded to be closely approximate to the ones desired.