Extension of multiple-range tests to interaction tables in the analysis of variance: A rapid approximate solution.

Extension of multiple-range tests to interaction tables in the analysis of variance: A rapid approximate solution.
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将多范围检验扩展到方差分析中的交互表:快速近似解决方案。

DOI:
10.1037/h0032673
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发表时间:
1972
影响因子:
22.4
通讯作者:
D. Cicchetti
D. Cicchetti
中科院分区:
心理学1区
文献类型:
--
作者:
D. Cicchetti

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讨论了从单向方差分析中得到的均值的多范围检验的应用,其中没有任何可能的对比被混淆。然而,通常有必要在方差的析因分析得出的相互作用表中比较Ms。在这种情况下,唯一明确的比较是行和列之间的比较。描述了一种近似的解决方案,通过仅基于非混淆比较的数量来调整q统计量。然后应用解决方案,使用实际数据,(a)当只需要K (K-1)/2对比时(J. Tukey的方法),(b)当需要所有可能的契约时(H. Sheffe的方法)。Duncan和Newman-Keuls测试不被重视,因为研究表明这些测试不能充分控制I型错误。(PsycINFO数据库记录(c) 2016 APA,版权所有)
Discusses the application of multiple-range tests to means derived from the 1-way analysis of variance, in which none of the possible contrasts is confounded. Often, however, it is ncessary to compare Ms in an interaction table derived from a factorial analysis of variance. In this case, the only unconfounded comparisons are those made within rows and columns. An approximate solution is described that adjusts the number of treatments by basing the q statistic upon the number of unconfounded comparisons only. The solution is then applied, using actual data,(a) when only the K (K-1)/2 contrasts are desired (the method of J. Tukey), and (b) when all possible contracts are desired (the method of H. Sheffe). The Duncan and Newman-Keuls tests are deemphasized, since research demonstrates these tests fail to control adequately for Type I error.(PsycINFO Database Record (c) 2016 APA, all rights reserved)