纠正对相关性的元分析中的偏差
T D Stanley1, Hristos Doucouliagos1, Maximilian Maier2
1Department of Economics, Deakin University.
Psychological methods
|June 3, 2024
概括
相关系数的常规元分析由于标准误差而有偏差,这取决于系数的大小. 新方法,包括对Fisher进行小样本调整.
科学领域:
- 心理测量 心理测量 心理测量
- 统计学方法论 统计学方法论
- 进行元分析分析.
背景情况:
- 相关系数的传统元分析容易产生偏差.
- 相对应系数的标准误差取决于系数的大小,在反变量加权平均值中引入偏差.
- 即使在理想的条件下,现有的偏见仍然存在,不包括出版偏见或p-hacking.
研究的目的:
- 为了证明相关系数常规元分析中固有的偏差.
- 为了解释这种偏见的根本原因.
- 提出和评估减轻这些偏见的解决方案.
主要方法:
- 对相关系数的反变差加权平均值中偏差的分析.
- 评估费舍尔的z转换作为一个偏差减小技术.
- 开发和应用一个新的小样本调整,用于费舍尔z转换.
主要成果:
- 所有对相关系数的常规元分析都表现出偏差.
- 费舍尔的z转换显著减少但并不能完全消除偏差.
- 拟议的小样本调整使得剩余的偏见在科学上微不足道,特别是对于典型的心理学样本大小 (n < 200).
结论:
- 对相关系数的标准元分析技术从根本上是有偏见的.
- 费舍尔的z转换是一个改进,但本身就不够.
- 新的小样本调整为心理学和其他具有小样本规模的领域的相关系数准确的元分析提供了强大的解决方案.
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