严格的不变性是否重要? 有效的组平均值与有序类别项目的比较.
Winnie Wing-Yee Tse1, Mark H C Lai2, Yichi Zhang1
1Department of Psychology, University of Southern California, 3620 S McClintock Ave, Los Angeles, CA, 90089, USA.
Behavior research methods
|November 29, 2023
概括
严格的测量不变性 (MI) 对于将使用心理测量尺度的群体与有序类别项目进行比较至关重要. 对于二分法项,标尺不变性是不够的,对于准确的观测和因子平均值比较,需要严格的不变性.
科学领域:
- 心理测量 心理测量 心理测量
- 统计建模 统计建模
- 心理测量 心理测量
背景情况:
- 测量不变性 (MI) 对于使用心理测量尺度测量构造的有效组比较至关重要.
- 标量不变性 (负载和拦截) 通常被接受用于与连续项目的平均值进行比较.
- 标量不变性对有序类别项目 (多种类型和二分类型) 的适用性需要进一步研究.
研究的目的:
- 为了研究在哪些条件下,标量不变性允许对有序类别项目进行有效的平均值比较.
- 为了确定准确观察和因子平均值与有序类别数据进行比较所需的不变度水平.
- 要突出独特因子方差非不变对平均差异估计的影响.
主要方法:
- 使用蒙特卡洛模拟研究来评估测量不变性.
- 该研究检查了有序分类项的标量不变性和严格不变性模型.
- 模拟评估了唯一因子不变性对参数估计和统计推理的影响.
主要成果:
- 尺度不变性足够支持对有序多元项的因子平均值比较,但不支持对二元项的比较.
- 严格的不变性 (包括值和唯一因子差异) 是必要的,以有效地与有序多元和二元项的观测平均值进行比较.
- 唯一因子不变性显著偏差观察到的和因子平均差异,特别是对二元项的差异,导致膨胀的I型错误率.
结论:
- 对于与有序类别项目进行平均值比较而言,标量不变性足够的假设只是部分正确的.
- 在将观察到的平均值与有序分类数据进行比较之前,建议进行严格的不变性测试.
- 当严格不变性被侵犯时,建议对部分不变性进行调整,以进行因子平均值比较.
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