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均值差异的显著性:一项实证研究

The significance of differences between means. An empirical study.

作者信息

Scheer B T

出版信息

Comp Biochem Physiol A Comp Physiol. 1986;83(3):405-8. doi: 10.1016/0300-9629(86)90123-4.

DOI:10.1016/0300-9629(86)90123-4
PMID:2870842
Abstract

Three tests of statistical significance: the confidence interval (C), Student's t, and the variance ratio, (F) were applied to 13 homologous sets of 26 differences each between means of groups of six. The C test is shown to be most reliable in separating two distinct populations of values, as significant or not significant, at the 1% level of probability of a larger difference. The other tests are less reliable in that neither makes a distinct separation in these terms. The t test is the least rigorous, and the F test the most, in terms of proportion of total number of differences judged significant by these tests, and of a separation of distinct populations of values in terms of magnitude of the difference.

摘要

对13组同源数据进行了三项统计学显著性检验:置信区间(C)、学生t检验和方差比(F)检验,每组数据包含6个组均值之间的26个差异。结果表明,在1%的概率水平下,当差异较大时,C检验在区分两个不同的数值总体(显著或不显著)方面最为可靠。其他检验的可靠性较低,因为它们在这些方面都无法进行明确区分。就这些检验判定为显著的差异总数比例以及根据差异大小区分不同数值总体而言,t检验最不严格,F检验最严格。

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