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Standardized mean of a contrast variable
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Standardized mean of a contrast variable : ウィキペディア英語版
Standardized mean of a contrast variable

In statistics, the standardized mean of a contrast variable (SMCV or SMC), is a parameter assessing effect size. The SMCV is defined as mean divided by the standard deviation of a contrast variable.
The SMCV was first proposed for one-way ANOVA cases

and was then extended to multi-factor ANOVA cases
.
==Background==
Consistent interpretations for the strength of group comparison, as represented by a contrast, are important.
The standardized mean of a contrast variable, along with c+-probability
, can provide a consistent interpretation of the strength of a comparison. When there are only two groups involved in a comparison, SMCV is the same as SSMD. SSMD belongs to a popular type of effect-size measure called "standardized mean differences" which includes Cohen's d and Glass's \delta.
In ANOVA, a similar parameter for measuring the strength of group comparison is standardized effect size (SES). One issue with SES is that its values are incomparable for contrasts with different coefficients. SMCV does not have such an issue.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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