Interval Estimation for Linear Functions of Medians in Within-Subjects and Mixed Designs
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.
Bonett, Douglas G.; and Price, Robert M.. 2020. Interval Estimation for Linear Functions of Medians in Within-Subjects and Mixed Designs. British Journal of Mathematical and Statistical Psychology. Vol.73(2). 333-346. https://doi.org/10.1111/bmsp.12171 PMID: 31062346 ISSN: 0007-1102