British Journal of Mathematical and Statistical Psychology

Interval estimation for linear functions of medians in within‐subjects and mixed designs

Early View

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.

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