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On Randomizing Estimators in Linear Regression Models
2000In this work we consider a special kind of randomization in the analysis of linear regression. This randomization is connected to the Δ2-distribution which was first introduced by Ermakov and Zolotukhin (1960) for decreasing the variance in the Monte Carlo calculation of integrals. The resulting resampling procedure allows for separating the systematic
S. Ermakov, R. Schwabe
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Optimal Designs in Random Coefficient Linear Regression Models
Calcutta Statistical Association Bulletin, 1996In this paper we consider a random coefficients regression model in the context of repeated measurements. The measurements are taken at consecutive points for several experimental units, and the total number of measurements have a fixed upper bound.
Liski, Erkki P. +2 more
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Analysis of longitudinal data: Random coefficient regression modelling
Statistics in Medicine, 1994AbstractWe review random coefficient regression (RCR) models and methods for fitting these models from an applications perspective. Methods for data with exponential family distributions are presented with the Gaussian distribution as a special case.
C M, Rutter, R M, Elashoff
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Linear Regression Model with Random Coefficients
Biometrical Journal, 1984AbstractEstimation of linear regression with random coefficients is studied in this work. Non‐negative estimates of variances are proposed. The result is a modification of works of SRIVASTAVA et al. (1981).
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Estimation of random coefficient regression models
Journal of Statistical Computation and Simulation, 1981Linear regression models with coefficients across individual units regarded as random samples from some population are studied in this article from a Bayesian viewpoint. A prior distribution of the secondary parameters is derived following the Jeffreys rule. Posterior distribution of the primary and secondary parameters, and the predictive distribution
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Modelling interaction by regression with random coefficients
1989International ...
Denis, J.B., Dhorne, T.
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Random regression models: a longitudinal perspective
Journal of Animal Breeding and Genetics, 2008L R, Schaeffer, J, Jamrozik
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On testing random effects in the nested-error regression model
Communications in Statistics - Simulation and Computation, 2017We derive an exact F-test for random effects in the nested-error regression model. The derivation utilizes a matrix decomposition that offers a transformation of the response vector into two indepe...
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