2013
DOI: 10.1177/0146621613484983
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Coefficient Alpha and Reliability of Scale Scores

Abstract: The majority of large-scale assessments develop various score scales that are either linear or nonlinear transformations of raw scores for better interpretations and uses of assessment results. The current formula for coefficient alpha (α; the commonly used reliability coefficient) only provides internal consistency reliability estimates of raw scores. This article presents a general form of α and extends its use to estimate internal consistency reliability for nonlinear scale scores (used for relative decisio… Show more

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Cited by 22 publications
(21 citation statements)
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“…The Cronbach's alpha coefficient ranging from 0.0 to 1.0 was used to measure internal consistency of the tool. Higher values are associated with higher internal consistency, while the cut-off point equal to or exceeding 0.7 was used to consider the test reliable [17]. To evaluate reproducibility of the tool, we performed a test-retest assessment after 15 days and evaluated it using Pearson's correlation coefficient.…”
Section: Discussionmentioning
confidence: 99%
“…The Cronbach's alpha coefficient ranging from 0.0 to 1.0 was used to measure internal consistency of the tool. Higher values are associated with higher internal consistency, while the cut-off point equal to or exceeding 0.7 was used to consider the test reliable [17]. To evaluate reproducibility of the tool, we performed a test-retest assessment after 15 days and evaluated it using Pearson's correlation coefficient.…”
Section: Discussionmentioning
confidence: 99%
“…Fleiss and Shrout (1978) and Shrout and Fleiss (1979) suggested confidence intervals for intraclass correlations (generalizability coefficients) for one‐way model (single‐facet nested design) and two‐way model (single‐facet crossed design). Also, several researchers using different methods have proposed the sampling distributions of coefficient alpha (Cronbach, 1951), which is equal to generalizability coefficient for single‐facet crossed design (Almehrizi, 2013). For example, Kristof (1963) and Feldt (1965) independently derived the exact distribution of the coefficient alpha and its standard error under the assumption that the covariance matrix of items has a compound symmetry form.…”
Section: Statistic Estimators Traditional ε̂2mentioning
confidence: 99%
“… is the PDF of the xj scores given examinee a's ability. This PDF can be obtained through the Lord and Wingersky (1984) recursion formula using which was employed by Almehrizi (2013;2016).…”
Section: The New Section-level Person Fit Statisticmentioning
confidence: 99%