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

Bonett Douglas G. | Zendy; Price Robert M. | Zendy

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

Author(s) -

Bonett Douglas G.,

Price Robert M.

Publication year - 2020

Publication title -

british journal of mathematical and statistical psychology

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 3.157

H-Index - 51

eISSN - 2044-8317

pISSN - 0007-1102

DOI - 10.1111/bmsp.12171

Subject(s) - median , mathematics , confidence interval , range (aeronautics) , statistics , interval (graph theory) , sample size determination , distribution (mathematics) , cdf based nonparametric confidence interval , algorithm , mathematical optimization , combinatorics , mathematical analysis , materials science , geometry , composite material

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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