综合检验和事后检验之间的关系:方差分析中F检验性能的调查。

Tian Chen, Manfei Xu, Justin Tu, Hongyue Wang, Xiaohui Niu
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引用次数: 55

摘要

群体比较是许多生物医学和社会心理研究中常见的统计检验。当有两个以上的组时,首先对组间的总体差异进行综合测试。如果这个空值被拒绝,那么就进行下一步的事后两两组比较,以确定差异的来源。否则,一个人停止并宣布没有群体差异。一个普遍的信念是,如果综合测试是显著的,必须存在至少两组显著不同,反之亦然。因此,当综合测试是显著的,但没有事后组间比较显示显著差异时,人们对正在发生的事情感到困惑,并想知道如何解释结果。在谱的末端,当综合检验不显著时,人们想知道是否所有的事后检验也都不显著,这样在综合检验不显著后停止就不会导致错过任何发现组差异的机会。在本报告中,我们调查了这一令人困惑的现象,并讨论了如何解释这些结果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Relationship between Omnibus and Post-hoc Tests: An Investigation of performance of the F test in ANOVA.

Relationship between Omnibus and Post-hoc Tests: An Investigation of performance of the F test in ANOVA.

Relationship between Omnibus and Post-hoc Tests: An Investigation of performance of the F test in ANOVA.

Relationship between Omnibus and Post-hoc Tests: An Investigation of performance of the F test in ANOVA.

Comparison of groups is a common statistical test in many biomedical and psychosocial research studies. When there are more than two groups, one first performs an omnibus test for an overall difference across the groups. If this null is rejected, one then proceeds to the next step of post-hoc pairwise group comparisons to determine sources of difference. Otherwise, one stops and declares no group difference. A common belief is that if the omnibus test is significant, there must exist at least two groups that are significantly different and vice versa. Thus, when the omnibus test is significant, but no post-hoc between-group comparison shows significant difference, one is bewildered at what is going on and wondering how to interpret the results. At the end of the spectrum, when the omnibus test is not significant, one wonders if all post-hoc tests will be non-significant as well so that stopping after a nonsignificant omnibus test will not lead to any missed opportunity of finding group difference. In this report, we investigate this perplexing phenomenon and discuss how to interpret such results.

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来源期刊
自引率
0.00%
发文量
2341
期刊介绍: Shanghai archives of psychiatry (bimonthly) was founded in 1959 and is sponsored by Shanghai Mental Health Center. The journal is aimed at mental health workers across the country, including psychiatrists and nurses, clinical psychologists, social workers, and people who are committed to the cause of mental health. It focuses on reporting clinical research results and practical experience in the field of psychiatry, and introduces the latest knowledge in psychiatry and related fields. The columns include monographs, case reports, clinical case discussions, reviews, mental health and law, and debates and discussions.
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