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Adam N. Glynn; Miguel R. Rueda; Julian Schuessler – Sociological Methods & Research, 2024
Post-instrument covariates are often included as controls in instrumental variable (IV) analyses to address a violation of the exclusion restriction. However, we show that such analyses are subject to biases unless strong assumptions hold. Using linear constant-effects models, we present asymptotic bias formulas for three estimators (with and…
Descriptors: Causal Models, Statistical Inference, Error of Measurement, Least Squares Statistics
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Nicholls, Paul Travis – Journal of the American Society for Information Science, 1987
Describes and compares eight methods of estimating the parameters of the Zipf distribution. (CLB)
Descriptors: Comparative Analysis, Estimation (Mathematics), Mathematical Models, Predictive Measurement
Blankmeyer, Eric – 1992
L-scaling is introduced as a technique for determining the weights in weighted averages or scaled scores for T joint observations on K variables. The technique is so named because of its formal resemblance to the Leontief matrix of mathematical economics. L-scaling is compared to several widely-used procedures for data reduction, and the…
Descriptors: Comparative Analysis, Equations (Mathematics), Mathematical Models, Multivariate Analysis
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Schroeder, Marsha L.; Hakstian, A. Ralph – Psychometrika, 1990
A 2-facet measurement model is identified, and its coefficient of generalizability (CG) is examined. Three other multifaceted measurement models and their CGs are identified. An empirical investigation of all four procedures is conducted using data from a study of the psychopathology of 71 prison inmates. (SLD)
Descriptors: Comparative Analysis, Equations (Mathematics), Generalizability Theory, Mathematical Models