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Higher‐moment approaches to approximate interval estimation for a certain intraclass correlation coefficient
Author(s) -
Zou Kelly H.,
McDermott Michael P.
Publication year - 1999
Publication title -
statistics in medicine
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.996
H-Index - 183
eISSN - 1097-0258
pISSN - 0277-6715
DOI - 10.1002/(sici)1097-0258(19990815)18:15<2051::aid-sim162>3.0.co;2-p
Subject(s) - intraclass correlation , confidence interval , moment (physics) , statistics , mathematics , reliability (semiconductor) , correlation coefficient , pearson product moment correlation coefficient , interval (graph theory) , monte carlo method , inter rater reliability , interval estimation , correlation ratio , population , medicine , physics , combinatorics , power (physics) , rating scale , environmental health , classical mechanics , quantum mechanics , psychometrics
We consider the problem of constructing a confidence interval for the intraclass correlation coefficient in an interrater reliability study when the raters are assumed to be randomly selected from a population of raters. A Monte Carlo simulation study is conducted to investigate the true coverage probabilities of the commonly used intervals proposed by Fleiss and Shrout, which rely on Satterthwaite's two‐moment approximation. These intervals are shown to be substantially anticonservative in certain cases. We propose intervals based on higher‐moment approximations obtained using the Pearson system of distributions. The modified intervals are more conservative and generally more satisfactory than those obtained by the two‐moment approximation. The competing methods are illustrated using data from a study of the natural history of facioscapulohumeral muscular dystrophy. Copyright © 1999 John Wiley & Sons, Ltd.