比较频率主义和贝叶斯式方法的因数不变与潜分布异质性
Xinya Liang1, Ji Li1, Mauricio Garnier-Villarreal2
1Department of Counseling, Leadership, and Research Methods, University of Arkansas, Fayetteville, AR 72703, USA.
隐性因子差异的异质性显著影响测量不变性测试,而不是平均差异. 概率比率测试和交叉验证方法在检测非不变性方面比合适指数更强大.
科学领域:
- 心理测量 心理测量 心理测量
- 社会科学研究方法 社会科学研究方法论
- 统计建模 统计建模
背景情况:
- 在社会科学中,因数不变性确保了跨群体或跨时间的有效比较.
- 检测因数不变性是复杂的隐性因数分布中的异质性.
- 这项研究研究了隐性平均值和方程异质性对不变检测的影响.
研究的目的:
- 检查隐性平均值和差异差异如何影响测量不变检测.
- 为了比较贝叶斯式和最大概率匹配指标的性能.
- 评估不同模型选择方法的有效性.
主要方法:
- 模拟研究,采用不同的样本大小,非不变度水平和潜在因子分布.
- 贝叶斯和最大概率估计方法的比较.
- 评估适用性指数,概率比测试 (LRT),信息标准 (IC) 和一次性交叉验证 (LOO).
主要成果:
- 隐性因子变异的差异对测量不变性的影响比隐性平均值的差异更大.
- 隐性变异异质更强烈地影响了标量不变性测试,而不是度量不变性测试.
- 与合适度指数相比,LRT,IC (BIC除外) 和LOO在检测非不变性方面表现出更高的能力.
结论:
- 隐性因子变异异质性对测量不变性测试构成重大挑战.
- 概率比率测试和交叉验证技术在检测非不变性方面提供了卓越的性能.
- 研究人员应考虑潜在方程异质性的影响,并利用适当的统计方法进行可靠的不变性评估.
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