Confidence Intervals from Normalized Data: A correction to Cousineau (2005)

Confidence Intervals from Normalized Data: A correction to Cousineau (2005)
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DOI:
10.20982/tqmp.04.2.p061
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发表时间:
2008-01-01
期刊:
TUTORIALS IN QUANTITATIVE METHODS FOR PSYCHOLOGY
影响因子:
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通讯作者:
Morey, Richard D.
Morey, Richard D.
中科院分区:
其他
文献类型:
--
作者:
Morey, Richard D.

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在均值周围显示置信区间是表示数据不确定性的常用方法。洛夫图斯和Masson(1994)描述了受试者内设计中平均值的置信区间。这些置信区间基于ANOVA均方误差。Rumineau(2005)提出了洛夫图斯和Masson方法的替代方法,但他的方法产生的置信区间小于洛夫图斯和Masson的置信区间。我说明了为什么会出现这种情况,并提供了一个简单的纠正,使Cousineau置信区间的预期大小与洛夫图斯和马森置信区间的预期大小相同。
Presenting confidence intervals around means is a common method of expressing uncertainty in data. Loftus and Masson (1994) describe confidence intervals for means in within-subjects designs. These confidence intervals are based on the ANOVA mean squared error. Cousineau (2005) presents an alternative to the Loftus and Masson method, but his method produces confidence intervals that are smaller than those of Loftus and Masson. I show why this is the case and offer a simple correction that makes the expected size of Cousineau confidence intervals the same as that of Loftus and Masson confidence intervals.