Premium
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.