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ERIC Number: EJ1382758
Record Type: Journal
Publication Date: 2023
Pages: 28
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-1536-6367
EISSN: EISSN-1536-6359
There Are Many Greater Lower Bounds than Cronbach's [alpha]: A Monte Carlo Simulation Study
Novak, Josip; Rebernjak, Blaž
Measurement: Interdisciplinary Research and Perspectives, v21 n1 p1-28 2023
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.
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Publication Type: Journal Articles; Reports - Research
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A