American Journal of Mathematical and Management Sciences · 2003 · 20 citations · 38 references
Social SciencesBusiness EconomicsEconometricsPsychometricsStatistical ModelingMeasurement ErrorMeasurement EstimationMeasurement UncertaintyMicroeconometricsMixed Model AnalysisParameter EstimationEstimation Of Measurement ErrorEstimation Under Measurement ErrorIndependent VariablesLeverage MeasureLinear Mixed ModelsMeasurement Error ModelsMixed Linear ModelsStandard Errors Of Measurement
SYNOPTIC ABSTRACTIt is not uncommon that the independent variables of linear mixed models are subject to measurement errors in practice. In this paper, we suggest a method for parameter estimation in linear mixed measurement error models, based on the corrected score function. The proposed parameter estimates are shown to be statistically consistent to the order of n−½ and normally distributed asymptotically. Diagnostic measures for the model such as the leverage measure, Cook's distance and local influence measures are constructed. A data set on hedonic housing price is analyzed.
38
Leonard A. Stefanski, Wayne A. Fuller, John Wiley · Journal of Business and Economic Statistics · 1988 · 2.9K citations
Detection of Influential Observation in Linear Regression
R. Dennis Cook · Technometrics · 2000 · 2.3K citations