因子评分的决定性与保持因子之间的相关性之间的权衡
André Beauducel1, Norbert Hilger1, Tobias Kuhl1
1University of Bonn, Germany.
Educational and psychological measurement
|June 20, 2024
概括
回归因子得分预测器最大限度地提高了因子得分的确定性,但偏差相互关联. 保持相关性的预测器提供了无偏的相互相关性,但具有较低的确定性,呈现出一个权衡. 评估这种平衡对于准确的因素分析至关重要.
科学领域:
- 心理测量 心理测量 心理测量
- 统计建模 统计建模
背景情况:
- 回归因子得分预测器提供最大的因子得分确定性.
- 然而,这些预测因素并不能保持原始因素的相互关联.
- 相关性维护因子得分预测器已经开发出来,以解决这一局限性.
研究的目的:
- 为了研究因子得分确定性和相互关联的偏差之间的权衡.
- 确定这种权衡发生的条件.
- 为默认回归因子得分预测器提供替代方案.
主要方法:
- 使用代数考虑来分析因子得分决定性和相互相关偏差之间的关系.
- 进行了一项模拟研究,以实证调查权衡.
- 该研究比较了回归因子得分预测器和相关性保护因子得分预测器.
主要成果:
- 存在一种权衡:较高的因子得分确定性与相互相关的偏差更大,反之亦然.
- 在某些条件下,与回归预测因子的因子得分确定性的小增长会导致相互关联的显著偏差.
- 保持相关性的预测器可以避免显著的相互相关性偏差,而不会显著地损失因子得分的确定性.
结论:
- 默认使用回归因子得分预测器可能会导致有偏见的相互相关性.
- 研究人员应该考虑使用相关性维护因子得分预测器来缓解相互相关性偏差.
- 建议评估因子得分确定性和相互相关性准确性之间的平衡,以便进行可靠的因子分析.
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