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Schagen, I. P. – Applied Psychological Measurement, 1990
A model for the age standardization of test scores is presented, which is fitted to the percentile points of the raw score distribution and assumes a linear trend of each percentile with age. The model's applications in standardizing tests and diagnostic plots produced by a computer program--STANEW--are described. (SLD)
Descriptors: Age Groups, Equations (Mathematics), Graphs, Mathematical Models

Thompson, Paul – Applied Psychological Measurement, 1989
Monte Carlo techniques were used to examine regression approaches to external unfolding. The present analysis examined the technique to determine if various characteristics of the points are recovered (such as ideal points). Generally, monotonic analyses resulted in good recovery. (TJH)
Descriptors: Error of Measurement, Estimation (Mathematics), Mathematical Models, Monte Carlo Methods

Lehmann, Donald R. – Applied Psychological Measurement, 1988
A simple procedure for establishing convergent and discriminant validity is presented, as an alternative to the LISREL-based nested model used by R. P. Bagozzi (1978) and K. F. Widaman (1985). Ordinary least-squares regression is used, with the correlation between measures as the dependent variable. (SLD)
Descriptors: Equations (Mathematics), Estimation (Mathematics), Factor Analysis, Least Squares Statistics

Levin, Joseph – Applied Psychological Measurement, 1993
Longitudinal studies of personality traits and intelligence have used an exponential function to relate magnitudes of correlations between occasions to the time interval. This exponential function is shown to be equivalent to a quasisimplex model of a stationary process with constant reliability. (SLD)
Descriptors: Correlation, Equations (Mathematics), Intelligence, Longitudinal Studies

Rogers, H. Jane; Swaminathan, Hariharan – Applied Psychological Measurement, 1993
Performance of the logistic regression (LR) procedure was compared to that of the Mantel Haenszel (MH) procedure in the detection of uniform and nonuniform differential item functioning on a simulation examining distributional properties of the LR and MH test statistics and the relative power of the two procedures. (SLD)
Descriptors: Comparative Analysis, Computer Simulation, Item Bias, Mathematical Models

Overall, John E.; Magee, Kevin N. – Applied Psychological Measurement, 1992
The following models which provide an estimate of the reliability of a rating scale are described: (1) disattenuation; (2) common factor; (3) external criterion; (4) treatment effects; and (5) regression. Such models are especially useful in selecting, evaluating, and training participants in clinical research. (SLD)
Descriptors: Correlation, Estimation (Mathematics), Evaluation Methods, Evaluators

Raykov, Tenko – Applied Psychological Measurement, 1993
A general structural equation model for measuring residualized true change and studying patterns of true growth or decline is described. This approach allows consistent and efficient estimation of the degree of interrelationship between residualized change in a repeatedly assessed psychological construct and other variables. (SLD)
Descriptors: Change, Equations (Mathematics), Estimation (Mathematics), Mathematical Models

Russell, Craig J.; And Others – Applied Psychological Measurement, 1991
Analysis of hypothetical data with dependent responses demonstrates how information loss caused by the overt response scale has an unknown influence on effect sizes in moderated regression analysis. The number of scale steps measuring the dependent variable results in a form of systematic error that alters interaction effect sizes. (SLD)
Descriptors: Effect Size, Hypothesis Testing, Likert Scales, Mathematical Models

Chatterjee, Sangit; Yilmaz, Mustafa – Applied Psychological Measurement, 1992
The importance of regression diagnostics in detecting influential data points is discussed, and five statistics are recommended for the applied researcher. The suggested diagnostics were used on a dataset of 24 subjects, and effects were analyzed. Colinearity-based diagnostics and diagnostics for a variety of procedures are discussed. (SLD)
Descriptors: Behavioral Science Research, Diagnostic Tests, Equations (Mathematics), Error of Measurement

Raju, Nambury S.; And Others – Applied Psychological Measurement, 1991
A two-parameter logistic regression model for personnel selection is proposed. The model was tested with a database of 84,808 military enlistees. The probability of job success was related directly to trait levels, addressing such topics as selection, validity generalization, employee classification, selection bias, and utility-based fair…
Descriptors: Classification, Equations (Mathematics), Job Performance, Mathematical Models

Donoghue, John R.; Cliff, Norman – Applied Psychological Measurement, 1991
The validity of the assumptions under which the ordinal true score test theory was derived was examined using (1) simulation based on classical test theory; (2) a long empirical test with data from 321 sixth graders; and (3) an extensive simulation with 480 datasets based on the 3-parameter model. (SLD)
Descriptors: Computer Simulation, Elementary Education, Elementary School Students, Equations (Mathematics)