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Effect sizes of the differences between means without assuming the variance equality and between a mean and a constant

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 نشر من قبل Satoshi Aoki
 تاريخ النشر 2019
  مجال البحث الاحصاء الرياضي
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Hedges d, an existing unbiased effect size of the difference between means, assumes the variance equality. However, the assumption of the variance equality is fragile, and is often violated in practical applications. Here, we define e, a new effect size of the difference between means, which does not assume the variance equality. In addition, another novel statistic c is defined as an effect size of the difference between a mean and a known constant. Hedges g, our c, and e correspond to Students unpaired two-sample t test, Students one-sample t test, and Welchs t test, respectively. An R package is also provided to compute these effect sizes with their variance and confidence interval.



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