Double sampling for exact values in some multivariate measurement error problems
DOI: 10.1080/01621459.1990.10474978
关键词: Linear regression 、 Margin of error 、 Multivariate normal distribution 、 Multivariate statistics 、 Mathematics 、 Statistics 、 Errors-in-variables models 、 Regression analysis 、 Observational error 、 Additive model
摘要: Abstract Increasing attention is being given to measurement error models in which the dimension of proxy or surrogate values different from that missing true values. Even if they are same dimension, model may not be simple additive one observed = + error, where has mean 0. The use broader relating and requires external internal data containing some calibrate/validate model. This article considers a multivariate normal framework allowed any subset variables with broad class regression classical special case. Multiple random regressors (the structural case) treated within this framework. Correcting for made possible through double sampling obtained randomly chosen main ...
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Jeri M. Mulrow, Dominic F. Vecchia, John P. Buonaccorsi, Hari K. Iyer, Problems with Interval Estimation When Data are Adjusted via Calibration Journal of Quality Technology. ,vol. 20, pp. 233- 247 ,(1988) , 10.1080/00224065.1988.11979116
Tor D. Tosteson, Leonard A. Stefanski, Daniel W. Schafer, A measurement-error model for binary and ordinal regression. Statistics in Medicine. ,vol. 8, pp. 1139- 1147 ,(1989) , 10.1002/SIM.4780080914
JUNI PALMGREN, Precision of double sampling estimators for comparing two probabilities Biometrika. ,vol. 74, pp. 687- 694 ,(1987) , 10.1093/BIOMET/74.4.687
J. D. Sargan, J. Koerts, A. P. J. Abrahamse, On the theory and application of the general linear model Economica. ,vol. 37, pp. 436- ,(1970) , 10.2307/2551956
T. Timothy Chen, A review of methods for misclassified categorical data in epidemiology Statistics in Medicine. ,vol. 8, pp. 1095- 1106 ,(1989) , 10.1002/SIM.4780080908
Roderick JA Little, Donald B Rubin, None, Statistical Analysis with Missing Data ,(1987)
A. P. Dempster, N. M. Laird, D. B. Rubin, Maximum Likelihood from Incomplete Data Via theEMAlgorithm Journal of the Royal Statistical Society: Series B (Methodological). ,vol. 39, pp. 1- 22 ,(1977) , 10.1111/J.2517-6161.1977.TB01600.X
T. W. Anderson, Maximum Likelihood Estimates for a Multivariate Normal Distribution when Some Observations are Missing Journal of the American Statistical Association. ,vol. 52, pp. 200- 203 ,(1957) , 10.2307/2280845
T. W. Anderson, An Introduction to Multivariate Statistical Analysis ,(1984)
RALPH A. BRADLEY, JOHN J. GART, The asymptotic properties of ML estimators when sampling from associated populations Biometrika. ,vol. 49, pp. 205- 214 ,(1962) , 10.1093/BIOMET/49.1-2.205