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Yuan, Ke-Hai; Bentler, Peter M. – Psychometrika, 2002
Examined the asymptotic distributions of three reliability coefficient estimates: (1) sample coefficient alpha; (2) reliability estimate of a composite score following factor analysis; and (3) maximal reliability of a linear combination of item scores after factor analysis. Findings show that normal theory based asymptotic distributions for these…
Descriptors: Estimation (Mathematics), Factor Analysis, Reliability, Robustness (Statistics)

Fischer, Gerhard H. – Applied Psychological Measurement, 2003
Compared approaches to determining the precision of gain scores: (1) the asymptotic normal distribution of the maximum likelihood estimator of the person parameter; and (2) the exact conditional distribution of the gain score. Use of three data sets illustrates that these methods yield more relevant and more detailed information than traditional…
Descriptors: Estimation (Mathematics), Item Response Theory, Maximum Likelihood Statistics, Reliability

Fan, Xitao; Thompson, Bruce – Educational and Psychological Measurement, 2001
Illustrates a number of ways in which confidence intervals for reliability coefficients can be estimated. Suggests that authors who submit articles to "Educational and Psychological Measurement" report confidence intervals for reliability estimates whenever they report score reliabilities and that they note the interval estimation…
Descriptors: Estimation (Mathematics), Reliability, Research Reports, Scores

Samejima, Fumiko – Applied Psychological Measurement, 1994
The reliability coefficient is predicted from the test information function (TIF) or two modified TIF formulas and a specific trait distribution. Examples illustrate the variability of the reliability coefficient across different trait distributions, and results are compared with empirical reliability coefficients. (SLD)
Descriptors: Adaptive Testing, Error of Measurement, Estimation (Mathematics), Reliability
Reckase, Mark D. – 1993
In this non-experimental study, a model was developed for portfolio assessment based on definitions and applications in the assessment literature. This model describes portfolio components, scores to be computed, and uses to be made of the scores. The literature was then reviewed to find examples of actual applications that would provide realistic…
Descriptors: Educational Assessment, Estimation (Mathematics), Grade 12, High School Students