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Confidence Intervals of Effect Size for Paired Studies
Author(s) -
Wu Jianrong,
Jiang Guoyong
Publication year - 2007
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.200610276
Subject(s) - confidence interval , statistics , mathematics , coverage probability , variance (accounting) , interval (graph theory) , cdf based nonparametric confidence interval , robust confidence intervals , transformation (genetics) , combinatorics , chemistry , accounting , business , biochemistry , gene
To construct a confidence interval of effect size in paired studies, we propose four approximate methods – Wald method, variance‐stabilizing transformation method, and signed and modified signed log‐likelihood ratio methods. We compare these methods using simulation to determine those that have good performance in terms of coverage probability. In particular, simulations show that the modified signed log‐likelihood ratio method produces a confidence interval with a nearly exact coverage probability and highly accurate and symmetric error probabilities even for very small samples. We apply the methods to data from an iron deficiency anemia study. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)