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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

Cramer, Elliot M.; Appelbaum, Mark I. – Review of Educational Research, 1978
Assuming conditional normality and independence, standard estimation and hypothesis testing procedures for regression coefficients are the same whether using fixed x values, random x values or mixed fixed and random values. Contrary to Sockloff's suggestion, polynomial regression is useful with either fixed or random models. (See EJ 142 050). (CP)
Descriptors: Error of Measurement, Mathematical Models, Multiple Regression Analysis, Research Reviews (Publications)

Bekker, Paul A.; de Leeuw, Jan – Psychometrika, 1987
Psychometricians working in factor analysis and econometricians working in regression with measurement error in all variables are both interested in the rank of dispersion matrices under variation of diagonal elements. This paper reviews both fields; points out various small errors; and presents a methodological comparision of factor analysis and…
Descriptors: Error of Measurement, Factor Analysis, Literature Reviews, 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
Newman, Isadore – 1988
The nature and appropriate application of the technique of multivariate analysis are discussed. More specifically, the intent of the paper is to demystify and explain the use of multivariate analysis as well as provide guidelines for selection of the most effective statistics for use in specific situations. For the purpose of this paper, the term…
Descriptors: Analysis of Covariance, Analysis of Variance, Chi Square, Discriminant Analysis