2006
DOI: 10.1177/0013164406288165
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Congeneric and (Essentially) Tau-Equivalent Estimates of Score Reliability

Abstract: Coefficient alpha, the most commonly used estimate of internal consistency, is often considered a lower bound estimate of reliability, though the extent of its underestimation is not typically known. Many researchers are unaware that coefficient alpha is based on the essentially tau-equivalent measurement model. It is the violation of the assumptions required by this measurement model that are often responsible for coefficient alpha's underestimation of reliability. This article presents a hierarchy of measure… Show more

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Cited by 585 publications
(547 citation statements)
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“…Figure 2 illustrates how the reliability of mean RTs depends on the population variability in the individual cognitive processing and sensory-motor residual time parameters, G, Δ, and R. Somewhat arbitrarily, these levels of population variability were chosen to range from very small valuessimulating homogeneous populations-to values large enough to yield visible effects on reliability. Reliability increases with variability in all three of these parameters, consistent with the well-known phenomenon that the reliability of any measure depends not only on the measuring instrument itself, but also on the population to which it is applied (e.g., Graham, 2006). In particular, the general rule within classical test theory is that reliability increases with the amount of true score variance (Eq.…”
Section: Reliability Of Mean Reaction Timessupporting
confidence: 68%
“…Figure 2 illustrates how the reliability of mean RTs depends on the population variability in the individual cognitive processing and sensory-motor residual time parameters, G, Δ, and R. Somewhat arbitrarily, these levels of population variability were chosen to range from very small valuessimulating homogeneous populations-to values large enough to yield visible effects on reliability. Reliability increases with variability in all three of these parameters, consistent with the well-known phenomenon that the reliability of any measure depends not only on the measuring instrument itself, but also on the population to which it is applied (e.g., Graham, 2006). In particular, the general rule within classical test theory is that reliability increases with the amount of true score variance (Eq.…”
Section: Reliability Of Mean Reaction Timessupporting
confidence: 68%
“…Internal consistency reliability estimates, such as coefficient alpha, are based on the assumption that all items measure the same latent trait on the same scale, i.e., that the same latent trait equally contributes to all item scores (Yang and Green 2011). The multidimensional nature of SJTs violates this strict assumption resulting in an inaccurate estimate of reliability (Graham 2006). However, the integrity-based SJT used in this study was designed to measure one dimension, which might lead to a less serious violation of the assumption of unidimensionality.…”
Section: Present Studymentioning
confidence: 99%
“…This result is an underestimation of alpha as well as the reliability of the instrument (Green & Thompson, 2005). If the number of test items, on the other hand, is too small, the assumption of tau-equivalence will also be violated and this will result in an underestimation of reliability (Graham, 2006).…”
Section: Describes the Likert Scale Asmentioning
confidence: 99%