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Estimation of maximal reliability for multiple‐component instruments in multilevel designs
Author(s) -
Raykov Tenko,
Penev Spiridon
Publication year - 2009
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 - 10.1348/000711007x255345
Subject(s) - reliability (semiconductor) , component (thermodynamics) , interval estimation , scale (ratio) , estimation , point estimation , computer science , point (geometry) , multilevel model , reliability engineering , mathematics , homogeneous , statistics , confidence interval , engineering , power (physics) , physics , geometry , systems engineering , quantum mechanics , combinatorics , thermodynamics
A procedure for point and interval estimation of maximal reliability of multiple‐component measuring instruments in multi‐level settings is outlined. The approach is applicable to hierarchical designs in which individuals are nested within higher‐order units and exhibit possibly related performance on components of a given homogeneous scale. The method is developed within the framework of multi‐level factor analysis. The proposed procedure is illustrated with an empirical example.