评估两个小样本对固定的效果标准错误和多层模型中的推理的两个小样本纠正,使用异种,不平衡,集群数据的多层模型
1Department Psychology, University of Southern California, 3620 South McClintock Ave., Los Angeles, CA, 90089-1061, USA.
Behavior research methods
|February 6, 2024
概括
调整后的集群强度标准错误 (CR-SEs) 提供了准确的推断,用于使用异种类型的集群数据进行多层次建模. 他们保持了I型错误率,并在随机斜率模型中使用时为集群间效应提供更高的功率.
科学领域:
- 心理学研究方法论心理学研究方法论
- 统计建模 统计建模
- 量化心理学 量化心理学
背景情况:
- 多级建模 (MLM) 是心理学中集群数据的标准.
- 差异的均性是MLM的一个关键假设,在实践中经常被违反.
- 违规导致误估的标准错误,影响推断的有效性.
研究的目的:
- 比较肯沃德-罗杰 (KR) 和调整的集群强度标准误差 (CR-SE) 对于异种类型的集群数据.
- 在普通最小平方 (OLS),随机交叉点 (RI) 和随机斜率 (RS) 模型中评估性能.
- 在小的,非正常的样本大小中确定准确的统计推理的最佳方法.
主要方法:
- 蒙特卡洛模拟研究.
- 分析小型的,异构的,集群的数据.
- 用RS模型对KR调整进行比较,与用OLS,RI和RS模型调整的CR-SE进行比较.
主要成果:
- 具有RS模型的KR显示了在异种性多样性下的集群间效应的显著偏差和膨胀的I型错误.
- 在所有模型中,调整后的CR-SEs显示了可接受的偏差和受控的I型错误率.
- 与RS模型调整的CR-SEs为集群间效应提供了更高的功率.
结论:
- 建议调整CR-SEs以获得准确的多层次建模推理,特别是在异种复杂性.
- 对于集群内效应,任何具有调整CR-SEs的模型都是合适的.
- 对于集群间的效应,调整后的CR-SEs与RS模型增强了功率并减轻了异质性问题.
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