在多维物件响应理论模型中旋转局部解决方案
Hoang V Nguyen1, Niels G Waller1
1University of Minnesota, Twin Cities, Minneapolis, USA.
Educational and psychological measurement
|November 1, 2024
概括
在多维,双参数物流 (M2PL) 模型中,地质旋转通常会产生局部解决方案,但这些解决方案在测量精度上可能有所不同. 当出现多个解决方案时,适应指数可能会错误地识别最佳旋转.
科学领域:
- 心理测量 心理测量 心理测量
- 统计建模 统计建模
- 教育测量教育的测量
背景情况:
- 因素旋转对于解释复杂的多维物品响应模型至关重要.
- 在因子旋转中可能会出现局部解决方案 (LS),这可能会影响模型解释.
- 多维,双参数物流 (M2PL) 模型在教育和心理评估中被广泛使用.
研究的目的:
- 在M2PL模型中研究oblimin和geomin旋转算法的局部解决方案 (LS) 的收率.
- 检查各种因素 (斜率参数,每个因素的指标,交叉负载,因子相关性,模型错误,样本大小) 对LS率的影响.
- 评估LS对潜在特征估计精度和结构适应指数可靠性的影响.
主要方法:
- 广泛的蒙特卡洛模拟研究涉及超过19,200个数据集在96个模型条件.
- 模拟M2PL模型与相关的主要和非相关的次要因素,以表示模型错误.
- 对oblimin和geomin旋转算法的性能评估,包括超过760万次旋转.
主要成果:
- 在特定条件下,oblimin和geomin算法都趋向于局部解决方案.
- 在大多数模拟模型中,地质量旋转显示出更高的局部溶解率.
- 同样的物品响应模式产生局部解决方案,导致不同的潜在特征估计和测量精度.
- 定量结构适应指数经常错误地识别了当多个解决方案存在时最准确的旋转.
结论:
- 旋转算法的选择 (geomin vs. oblimin) 影响了在M2PL模型中获得局部解决方案的可能性.
- 局部解决方案可能导致潜在特征估计和测量精度的差异.
- 当出现多个解决方案时,标准合适度指数可能无法可靠地确定最佳旋转,需要仔细解释.
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