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Proportion of third‐level variation in multi‐level studies: A note on an interval estimation procedure
Author(s) -
Raykov Tenko
Publication year - 2010
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 - 10.1348/000711009x468004
Subject(s) - interval estimation , statistics , interval (graph theory) , estimation , mathematics , variance (accounting) , variable (mathematics) , variation (astronomy) , econometrics , variance components , computer science , confidence interval , astrophysics , economics , mathematical analysis , business , physics , management , accounting , combinatorics
An interval estimation procedure is outlined that can be used for evaluating the proportion of observed variance in a response variable, which is due to the third level of nesting in a hierarchical design. The approach is also useful when it is of concern to address the necessity of including a third level in analyses of data from a multi‐level study, relative to an alternative of proceeding with two‐level modelling. The proposed method is illustrated with an empirical example.