Naslov
Monte-Carlo Simulation of Cronbach’s Alpha under Violated Assumptions

Autori
Rebernjak, Blaž ; Urch, Dražen

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
20. Dani Ramira i Zorana Bujasa, sažetci priopćenja / Čorkalo Biruški, Dinka ; Vukasović, Tena - Zagreb : Filozofski fakultet Sveučilišta u Zagrebu, 2011, 43-43

ISBN
978-953-175-391-3

Skup
20. Dani Ramira i Zorana Bujasa

Mjesto i datum
Zagreb, Hrvatska, 07.04.2011. - 09.04.2011

Vrsta sudjelovanja
Pozvano predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Cronbach's alpha; violated assumptions; monte carlo simulation
(Monte-Carlo Simulation of Cronbach’s Alpha under Violated Assumptions)

Sažetak
Cronbach's alpha is unequivocally the most widely used estimate of scale reliability in scientific research and psychological practice. Alpha can be defined as the mean of all split-half reliabilities and is generally considered to be the lower bound of true scale reliability. The calculation of alpha, as is true for all statistical tests or methods, is based on a number of assumptions, most of which are routinely not evaluated before the calculation of the coefficient. The most important of these assumptions are essential tau-equivalence of the measurement model and independence of item errors. If the test is shown not to conform to the criteria of essential tau-equivalence, but is congeneric in nature, alpha will underestimate the reliability. If, on the other hand, covariation exists between errors of items that comprise a test, alpha can overestimate the reliability by overestimating the average intercorrelation between items. In this study we explored in detail how Cronbach’s alpha behaves in the case of violated assumptions, with regard to number of items, number of observations, item characteristics (mean and variance) and degree of assumption violation. A Monte-Carlo simulation was preformed with the aforementioned factors varying. Cronbach’s alpha was calculated and compared to the reliability estimated using confirmatory factor analysis approach. Results are discussed in the framework of classical test theory and several recommendations are made with regard to reliability estimation under various circumstances.

Izvorni jezik
Engleski

Znanstvena područja
Psihologija

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