独立样本t检验的效应量_置信区间和效力
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独立样本t检验的效应量_置信区间和效力 [2023/03/19 15:17] – 戴娉婷 | 独立样本t检验的效应量_置信区间和效力 [2024/03/24 15:55] (当前版本) – zzzz | ||
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- | ==== 一、独立样本t检验的效应量 ==== | + | ==== 1. 独立样本t检验的效应量 |
- | 效应量(effect size,ES)的大小代表两个总体分布的重叠程度。在独立样本t检验中,效应大小的计算如下: | + | 效应量(ES)的大小代表两个总体分布的重叠程度。在独立样本t检验中,效应大小的计算公式如下: |
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+ | The size of the effect size represents the extent to which the two population distributions overlap. In the independent sample t test, the formula for calculating the effect size is as follows: | ||
{{ :: | {{ :: | ||
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其中X< | 其中X< | ||
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+ | Where X< | ||
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ES越小,代表重叠程度越大,效应越小;ES越大,重叠程度越小,效应越大。 | ES越小,代表重叠程度越大,效应越小;ES越大,重叠程度越小,效应越大。 | ||
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+ | The smaller the ES, the greater the overlap and the smaller the effect. While the larger the ES, the smaller the overlap and the larger the effect. | ||
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---- | ---- | ||
- | ==== 二、独立样本t检验的置信区间 ==== | + | ==== 2. 独立样本t检验的置信区间 |
独立样本t检验的置信水平为1-α的置信区间为: | 独立样本t检验的置信水平为1-α的置信区间为: | ||
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+ | The confidence interval for the independent sample t test with a confidence level of 1-α is | ||
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{{ :: | {{ :: | ||
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其中S< | 其中S< | ||
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+ | Where S< | ||
---- | ---- | ||
- | ==== 三、独立样本t检验的效力 ==== | + | ==== 3. 独立样本t检验的效力 |
- | 效力(power)的大小和显著性水平、样本容量和检验方向有关。 | + | 效力的大小和显著性水平、样本容量和检验方向有关。 |
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+ | The magnitude of efficacy is related to the level of significance, | ||
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+ | * 样本量越大,效力越高; | ||
+ | The larger the sample size, the higher the power. | ||
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+ | * 效应越大,效力越高; | ||
+ | The greater the effect, the higher the power. | ||
- | 1、样本量越大,效力越高; | ||
- | 2、效应越大,效力越高; | + | * 相同条件下双尾检验的效力比单尾检验效力高。 |
+ | The power of the two-tail test is higher than that of the single-tail test under the same conditions. | ||
- | 3、相同条件下双尾检验的效力比单尾检验效力高。 | ||
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独立样本t检验的效应量_置信区间和效力.1679239028.txt.gz · 最后更改: 2023/03/19 15:17 由 戴娉婷