简单性,复杂性和两个独立组之间的标准化平均差异
1School of Psychological Science, University of Melbourne.
Psychological methods
|December 8, 2025
概括
像科恩的d和格拉斯的Δ这样的标准化效果大小可能会因为在非正常数据下的偏差而导致误导. 新的置信区间提高了准确性,但偏差校正对于有效的研究推断至关重要.
科学领域:
- 心理测量 心理测量 心理测量
- 统计推理 统计推理
- 量化研究方法 量化研究方法
背景情况:
- 标准化效果大小在研究中常见,用于比较两个独立组.
- 常见的效果大小包括科恩和格拉斯提出的效果大小.
- 这些措施面临着挑战,特别是"标准化者的诅咒",在不平等的差异下.
研究的目的:
- 批判性地审查现有的效果大小指标和置信区间.
- 为效果大小提出一个新的异种-一致的区间估计器.
- 根据现有方法评估新估计器的准确性和稳定性.
主要方法:
- 对三种常见的标准化效果大小 (科恩的d,格拉斯的Δ) 的分析.
- 开发一种新型的异种-统一的信任区间估计器.
- 在异常和不同的条件下对估计器性能进行实证评估.
主要成果:
- 这三种常见效应大小都表现出偏差在假设下违反,特别是非正常性.
- 现有的信心区间显示覆盖率不佳.
- 与传统方法相比,拟议的间隔估计器显示出更高的准确性和稳定性.
- 即使在推条件下,玻璃的 Δ 值也存在问题.
结论:
- 对效果大小估计的偏见很普遍,可能导致无效的推断.
- 建议的置信区间为效果大小估计提供了更好的有效性.
- 对非正常数据的偏差校正方法需要进一步研究.
- 目前使用这些效果大小的做法在许多研究场景中可能具有有限的有效性.
相关概念视频
Statistical Significance
21.0K
Once data is collected from both the experimental and the control groups, a statistical analysis is conducted to find out if there are meaningful differences between the two groups. A statistical analysis determines how likely any difference found is due to chance (and thus not meaningful). In psychology, group differences are considered meaningful, or significant, if the odds that these differences occurred by chance alone are 5 percent or less. Stated another way, if we repeated this...
21.0K
Group Design
10.1K
The most basic experimental design involves two groups: the experimental group and the control group. The two groups are designed to be the same except for one difference— experimental manipulation. The experimental group gets the experimental manipulation—that is, the treatment or variable being tested—and the control group does not. Since experimental manipulation is the only difference between the experimental and control groups, we can be sure that any differences between...
10.1K
One-Way ANOVA: Equal Sample Sizes
4.0K
One-Way ANOVA can be performed on three or more samples with equal or unequal sample sizes. When one-way ANOVA is performed on two datasets with samples of equal sizes, it can be easily observed that the computed F statistic is highly sensitive to the sample mean.
Different sample means can result in different values for the variance estimate: variance between samples. This is because the variance between samples is calculated as the product of the sample size and the variance between the...
Different sample means can result in different values for the variance estimate: variance between samples. This is because the variance between samples is calculated as the product of the sample size and the variance between the...
4.0K
Standard Error of the Mean
11.7K
The sampling variability of a statistic is defined as how much the statistic varies from one sample to another. The sampling variability of a statistic is typically measured by measuring its standard error.
The standard error of the mean is an example of a standard error. It is a unique standard deviation known as the standard deviation of the sampling distribution of the mean. The standard error of the mean is a statistic that calculates how correctly a sample distribution represents a...
The standard error of the mean is an example of a standard error. It is a unique standard deviation known as the standard deviation of the sampling distribution of the mean. The standard error of the mean is a statistic that calculates how correctly a sample distribution represents a...
11.7K
Bioequivalence Experimental Study Designs: Repeated Measures, Cross-Over, Carry-Over, and Latin Square Designs
164
Body:Bioequivalence experimental study designs play a pivotal role in testing the effectiveness of various treatments. Key among these are the repeated measures, cross-over, carry-over, and Latin square designs. In the repeated measures design, each subject receives all treatments, allowing for temporal comparisons. This type of design is useful in reducing variability but requires careful planning to avoid bias.The cross-over design, an economical method, involves sequential administration of...
164
Standard Deviation
27.3K
The most commonly used measure of variation is the standard deviation. It is a numerical value measuring how far data values are from their mean. The standard deviation value is small when the data are concentrated close to the mean, exhibiting slight variation or spread. The standard deviation value is never negative, it is either positive or zero. The standard deviation is larger when the data values are more spread out from the mean, which means the data values are exhibiting more variation.
27.3K


