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Huynh, Huynh – Psychometrika, 1986
Under the assumption of normalcy, a formula is derived for the reliability of the maximum score. It is shown that the maximum score is more reliable than each of the single observations but less reliable than their composite score. (Author/LMO)
Descriptors: Error of Measurement, Mathematical Models, Reliability, Scores
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Rogosa, David; Willett, John B. – Journal of Educational Statistics, 1985
A five by five covariance matrix representing longitudinal measurements at five occasions is used to illustrate that markedly different types of learning curves may generate indistinguishable covariance structures. An excellent fit of a simplex structure can be misleading. Common uses of covariance structure models for growth studies are…
Descriptors: Analysis of Covariance, Goodness of Fit, Hypothesis Testing, Longitudinal Studies
Werts, C. E.; And Others – 1972
Intraclass correlation reliability estimates are based on the assumption that the various measures are equivalent. Joreskog's (1970) general model for the analysis of covariance structures can be used to test the validity of this assumption. (For related document, see TM 002 301.) (Author)
Descriptors: Analysis of Covariance, Correlation, Hypothesis Testing, Mathematical Models
Dickinson, Terry L. – 1985
The general linear model was described, and the influence that measurement errors have on model parameters was discussed. In particular, the assumptions of classical true-score theory were used to develop algebraic relationships between the squared multiple correlations coefficient and the regression coefficients in the infallible and fallible…
Descriptors: Analysis of Covariance, Analysis of Variance, Correlation, Error of Measurement
Hart, Roland J.; Bradshaw, Stephen C. – 1981
This report provides the statistical tools necessary to measure the extent of error that exists in organizational record data and group survey data. It is felt that traditional methods of measuring error are inappropriate or incomplete when applied to organizational groups, especially in studies of organizational change when the same variables are…
Descriptors: Adults, Analysis of Variance, Error of Measurement, Mathematical Formulas
Sandler, Andrew B. – 1987
Statistical significance is misused in educational and psychological research when it is applied as a method to establish the reliability of research results. Other techniques have been developed which can be correctly utilized to establish the generalizability of findings. Methods that do provide such estimates are known as invariance or…
Descriptors: Analysis of Covariance, Analysis of Variance, Correlation, Discriminant Analysis
Farish, Stephen J. – 1984
The stability of Rasch test item difficulty parameters was investigated under varying conditions. Data were taken from a mathematics achievement test administered to over 2,000 Australian students. The experiments included: (1) relative stability of the Rasch, traditional, and z-item difficulty parameters using different sample sizes and designs;…
Descriptors: Achievement Tests, Difficulty Level, Estimation (Mathematics), Foreign Countries