📏 效应量计算器(Cohen's d)Effect Size Calculator (Cohen's d)
输入两组的平均值、标准差和样本量,计算 Cohen's d(合并标准差)、小样本校正的 Hedges' g 和 Glass's Δ,并按 Cohen(1988)的常用基准给出大小参考。Enter the mean, standard deviation and sample size of two groups to get Cohen's d (pooled SD), the small-sample-corrected Hedges' g and Glass's Δ, with Cohen's (1988) conventional benchmarks.
使用说明与常见问题How-to & FAQ
「效应量计算器(Cohen's d)」是什么?What is the Effect Size Calculator (Cohen's d) tool?
输入两组的平均值、标准差和样本量,计算 Cohen's d(合并标准差)、小样本校正的 Hedges' g 和 Glass's Δ,并按 Cohen(1988)的常用基准给出大小参考。Enter the mean, standard deviation and sample size of two groups to get Cohen's d (pooled SD), the small-sample-corrected Hedges' g and Glass's Δ, with Cohen's (1988) conventional benchmarks.
如何使用「效应量计算器(Cohen's d)」?How do I use the Effect Size Calculator (Cohen's d) tool?
在「效应量计算器(Cohen's d)」中,填写「第 1 组平均值」、「第 1 组标准差」、「第 1 组样本量」、「第 2 组平均值」、「第 2 组标准差」等参数,结果会随输入实时计算并显示在下方。In the Effect Size Calculator (Cohen's d): Fill in "Group 1 mean", "Group 1 SD", "Group 1 size", "Group 2 mean", "Group 2 SD"; results are recalculated instantly as you type.
用的是哪些公式?What are the formulas?
合并标准差 sₚ = √(((n₁ − 1)s₁² + (n₂ − 1)s₂²) ÷ (n₁ + n₂ − 2));d = (M₁ − M₂) ÷ sₚ;Hedges' g = d × (1 − 3 ÷ (4(n₁ + n₂ − 2) − 1));Glass's Δ = (M₁ − M₂) ÷ s₂,常在第 2 组是对照组时使用。Pooled sₚ = √(((n₁ − 1)s₁² + (n₂ − 1)s₂²) ÷ (n₁ + n₂ − 2)); d = (M₁ − M₂) ÷ sₚ; Hedges' g = d × (1 − 3 ÷ (4(n₁ + n₂ − 2) − 1)); Glass's Δ = (M₁ − M₂) ÷ s₂, used when group 2 is the control.
0.2、0.5、0.8 的基准从哪来?Where do 0.2, 0.5 and 0.8 come from?
来自 Jacob Cohen《Statistical Power Analysis for the Behavioral Sciences》(第 2 版,1988)。他明确说这些只是缺乏领域标准时的约定,不同学科的「大」效应差别很大。From Jacob Cohen, Statistical Power Analysis for the Behavioral Sciences (2nd ed., 1988). He stressed they are conventions for when no field norms exist; what counts as large varies a lot between fields.
d 为负数是什么意思?What does a negative d mean?
第 1 组平均值低于第 2 组。大小看绝对值。Group 1's mean is below group 2's. Judge the size by the absolute value.
计算精度如何?How precise are the results?
「效应量计算器(Cohen's d)」使用 JavaScript 双精度浮点数(约 15–16 位有效数字);极大或极小的数值可能存在精度误差。The Effect Size Calculator (Cohen's d) uses double-precision floating point (about 15–16 significant digits); very large or very small values may lose precision.
「效应量计算器(Cohen's d)」免费吗?需要注册吗?Is the Effect Size Calculator (Cohen's d) free? Do I need an account?
「效应量计算器(Cohen's d)」完全免费,无需注册或安装,打开网页即可使用,手机和电脑都能用;输入的内容只在你的浏览器本地处理。The Effect Size Calculator (Cohen's d) is completely free with no sign-up or install and works on phones and desktops; what you enter is processed only in your browser.