灵活的分布模型用于从单个案例设计中对阅读流度结果的元分析:使用贝叶斯方法进行检查
Paulina Grekov1, James E Pustejovsky1, David A Klingbeil1
1University of Wisconsin - Madison, United States of America.
位置,规模和形状 (GAMLSS) 的通用增材模型为单个案例设计 (SCD) 研究提供了一种灵活的方法. 具有异质分散的负二项式模型最适合SCD研究中的阅读流性数据.
科学领域:
- 统计 统计 统计 统计
- 教育心理学教育心理学
- 行为研究方法 行为研究方法
背景情况:
- 对单个案例设计 (SCD) 研究的统计建模越来越感兴趣.
- 像HLM和GLMM这样的现有方法对SCD数据,特别是基于课程的测量有局限性.
- 需要灵活的统计模型来适应SCD数据的独特特征.
研究的目的:
- 为了证明SCD研究的位置,尺度和形状 (GAMLSS) 的通用添加模型的实用性.
- 为了评估不同的分布式家族和模拟规范,从SCD研究中阅读流性数据.
- 评估结果在研究和参与者之间分散的变异性.
主要方法:
- 采用贝叶斯式方法利用定位,规模和形状 (GAMLSS) 的通用增值模型.
- 评估正常 (高斯式),波桑式和负二项式分布式家族.
- 采用图形后预测检查来评估模型适合性和分散变异性.
主要成果:
- 具有异质分散的负二项式模型与其他家族相比显示出优越的适应性.
- 选择的模型密切地复制了观察到的阅读流性数据的关键特征.
- 发现分散 (结果变异性) 在研究和参与者之间存在显著差异.
结论:
- GAMLSS提供了一个灵活而强大的工具来分析SCD数据,特别是学术成果.
- 在SCD干预中建议采用异质分散的负二项分布来建模阅读流性.
- 未来用于SCD数据的元分析模型应该考虑更广泛的分布系和不同分散的分布系.
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