@inbook{92ab89190ac44246aa54f88f9638caeb,

title = "A New Expression and Interpretation of Coefficient Omega Under the Congeneric One-Factor Model",

abstract = "A new expression for the communality of the total score under the one-factor model is presented. In general, the communality of the total score is a lower bound to the reliability of the total score. Under the one-factor model, the communality of the total score also assesses the validity of the total score as a measure of the common factor. Conditions are given under which the new expression equals coefficient alpha. Furthermore, new expressions for the communality of an arbitrary item score and the proportion of total variance explained are derived under the one-factor model. For all new communality expressions, closed-form distribution-free estimates are provided. In an example, the closed-form estimates are calculated for a classic data set.",

keywords = "Coefficient alpha, Coefficient omega, Communality, One-factor model, Reliability",

author = "Hessen, {David J.}",

note = "Publisher Copyright: {\textcopyright} 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.",

year = "2023",

month = mar,

day = "18",

doi = "10.1007/978-3-031-10370-4_6",

language = "English",

isbn = "978-3-031-10369-8",

series = "Methodology of Educational Measurement and Assessment",

publisher = "Springer",

pages = "111--118",

editor = "Ark, {L. Andries van der } and Emons, {Wilco H. M. } and Meijer, {Rob R. }",

booktitle = "Methodology of Educational Measurement and Assessment",

address = "Germany",

edition = "1",

}