There Are Many Greater Lower Bounds than Cronbach's [alpha]: A Monte Carlo Simulation Study

Autor/inn/en	Novak, Josip; Rebernjak, Blaž
Titel	There Are Many Greater Lower Bounds than Cronbach's [alpha]: A Monte Carlo Simulation Study
Quelle	In: Measurement: Interdisciplinary Research and Perspectives, 21 (2023) 1, S.1-28 (28 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Zusatzinformation	ORCID (Novak, Josip) ORCID (Rebernjak, Blaž)
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1536-6367
DOI	10.1080/15366367.2022.2031484
Schlagwörter	Monte Carlo Methods; Evaluation Methods; Reliability; Simulation; Sample Size; Test Length; Item Analysis; Test Items; Correlation; Bias + Suchen Sie Ihr Suchwort? Monte-Carlo-Methode; Reliabilität; Simulation program; Simulationsprogramm; Itemanalyse; Test content; Testaufgabe; Korrelation
Abstract	A Monte Carlo simulation study was conducted to examine the performance of [alpha], [lambda]2, [lambda][subscript 4], [lambda][subscript 2], [omega][subscript T], GLB[subscript MRFA], and GLB[subscript Algebraic] coefficients. Population reliability, distribution shape, sample size, test length, and number of response categories were varied simultaneously. The results indicate that a and [lambda][subscript 2] perform the worst overall. However, the performance of a is improved if the population reliability is high. [lambda][subscript 4] is relatively unbiased but the most imprecise. [mu][subscript 2] and [omega][subscript T] perform relatively well under most conditions. GLB[subscript Algebraic] outperforms other coefficients under many conditions. GLB[subscript MRFA] is useful under few conditions if the population reliability is high. The results corroborate previous suggestions that large samples, longer tests, higher number of response categories, and normally distributed results can make reliability estimates more dependable. Some insights on the interaction of these factors are provided. We discuss the findings compared to previous research. The complete R code used for the simulation is provided in the online supplement. (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2024/1/01