Contrast tests of interaction hypothesis.

Contrast tests of interaction hypothesis.
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相互作用假设的对比检验。

DOI:
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发表时间:
1997
期刊:
影响因子:
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通讯作者:
Deborah A. Prentice
Deborah A. Prentice
中科院分区:
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文献类型:
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作者:
R. Abelson;Deborah A. Prentice

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本文主张在双向方差分析设计中使用对比来检验先验交互作用假设。它侧重于3个未充分使用的类型的相互作用对比测试:一个“匹配”模式的同源水平的行和列的因素;“定性二次”,在相同的方向,但相反的凹的平均值的单调配置文件;和“微分curvilinearity”测试的曲率的差异,两个配置文件具有相同的方向的曲率。的情况下,最好的利用先验的对比测试的潜在优势,并提出了一个效果大小的对比措施。研究人员被敦促检查残差后,占的变化可归因于所选择的对比模式,可能会提供更多的纹理假设在进一步的研究提示。如果使用后验对比,应注明其效应量。
This article argues for the use of contrasts to test a priori interaction hypotheses in 2-way analysis of variance designs. It focuses on 3 underused types of interaction contrast tests: a "matching" pattern for cognate levels of row and column factors; the "qualitative quadratic," for monotonic profiles of means in the same direction but with opposed concavities; and a "differential curvilinearity" test for differences in the curvature of two profiles with the same direction of concavity. The circumstances that best capitalize on the potential advantages of a priori contrast tests are indicated, and an effect size measure for contrasts is presented. Investigators are urged to examine residuals after accounting for the variation attributable to the chosen contrast for patterns that may provide hints for more textured hypotheses in further research. If a posteriori contrasts are used, their effect sizes should be noted.