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在使用顺序程序来控制标准化平均差异的置信区间宽度时,非中心t和无分布方法的比较
1University of Washington.
Psychological methods
|December 23, 2024
概括
顺序停止规则 (SSR) 提供精确宽度的置信区间. 没有分布的方法在正常数据中表现最好,但由于覆盖率差和样本大小膨胀,不建议用于偏斜的分布.
科学领域:
- 统计 统计 统计 统计
- 心理测量 心理测量 心理测量
背景情况:
- 序列停止规则 (SSR) 用于构建具有准确标准宽度 (ω) 的置信区间 (CI),用于标准化平均差异 (δ).
- 在各种数据分布和效果大小中评估不同SSR方法的性能对于准确的统计推断至关重要.
研究的目的:
- 为了比较非中心t (NCt) 和无分布 (Dist-Free) 顺序停止规则方法对标准化平均差异的置信区间的性能.
- 评估数据分布 (正常与逻辑正常) 和影响大小对这些SSR方法的覆盖精度和样本大小效率的影响.
主要方法:
- 评估了两个SSR方法,非中心t (NCt) CI和一个无分布 (Dist-Free) 方法.
- 在一系列标准化宽度 (ω) 和标准化效果大小 (δ) 中进行了模拟,使用正常和逻辑正常分布.
主要成果:
- 在Dist-Free SSR方法中,通过正常数据显示出优越的覆盖率和接近预期的样本大小.
- 随着中度至严重偏斜的逻辑正常分布,Dist-Free方法显示覆盖范围不足,样本大小过大,特别是在更大的效果大小时.
- 这两种SSR方法都在点估计中引入了负偏差 (标准化平均差异*d*和Hedges的*g*),正常分布中的*d*偏差较小.
结论:
- 对于正常或轻微偏差的数据,推使用Dist-Free SSR方法,但应避免中度至严重偏差.
- 选择SSR方法对统计推断有重大影响,特别是在覆盖范围和效率方面,这取决于数据分布特征.
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