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Interval estimation for linear functions of medians in within-subjects and mixed designs.
British Journal of Mathematical and Statistical Psychology ( IF 2.6 ) Pub Date : 2019-05-07 , DOI: 10.1111/bmsp.12171
Douglas G Bonett 1 , Robert M Price 2
Affiliation  

The currently available distribution‐free confidence interval for a difference of medians in a within‐subjects design requires an unrealistic assumption of identical distribution shapes. A confidence interval for a general linear function of medians is proposed for within‐subjects designs that do not assume identical distribution shapes. The proposed method can be combined with a method for linear functions of independent medians to provide a confidence interval for a linear function of medians in mixed designs. Simulation results show that the proposed methods have good small‐sample properties under a wide range of conditions. The proposed methods are illustrated with examples, and R functions that implement the new methods are provided.

中文翻译:

主题内和混合设计中的中位数线性函数的区间估计。

对于对象内部设计中的中位数差异,当前可用的无分布置信区间要求对相同分布形状进行不切实际的假设。对于不具有相同分布形状的对象内部设计,提出了中值一般线性函数的置信区间。所提出的方法可以与用于独立中位数的线性函数的方法相结合,以为混合设计中的中位数的线性函数提供置信区间。仿真结果表明,所提出的方法在广泛的条件下具有良好的小样本性质。通过示例说明了所提出的方法,并提供了实现新方法的R函数。
更新日期:2019-05-07
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