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Steele, Joel S.; Ferrer, Emilio – Multivariate Behavioral Research, 2011
This article presents our response to Oud and Folmer's "Modeling Oscillation, Approximately or Exactly?" (2011), which criticizes aspects of our article, "Latent Differential Equation Modeling of Self-Regulatory and Coregulatory Affective Processes" (2011). In this response, we present a conceptual explanation of the derivative-based estimation…
Descriptors: Calculus, Responses, Simulation, Models

Bedeian, Arthur G.; Day, David V.; Kelloway, E. Kevin – Educational and Psychological Measurement, 1997
Methods by which structural models correct for the effects of attenuation due to measurement error are reviewed, and implications of such disattenuation for interpreting the results of structural equation models are considered. Recommendations are made for improving the practice of disattenuation, and caution is urged in drawing inferences based…
Descriptors: Error of Measurement, Estimation (Mathematics), Mathematical Models, Statistical Inference
Graham, James M. – Educational and Psychological Measurement, 2006
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…
Descriptors: Models, Test Theory, Reliability, Structural Equation Models

McDonald, Roderick P.; And Others – Psychometrika, 1993
A reparameterization is formulated that yields estimates of scale-invariant parameters in recursive path models with latent variables, and (asymptotically) correct standard errors, without the use of constrained optimization. The method is based on the logical structure of the reticular action model. (Author)
Descriptors: Correlation, Equations (Mathematics), Error of Measurement, Estimation (Mathematics)

Reddy, Srinivas K. – Educational and Psychological Measurement, 1992
Implications of ignoring correlated error on parameter estimates in some simple structural equation models are examined. It is shown analytically and empirically through simulation that ignoring positive between-construct correlated error overestimates the structural parameter linking the two constructs. Effects become more pronounced with…
Descriptors: Correlation, Equations (Mathematics), Error of Measurement, Estimation (Mathematics)