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Two-stage Least Squares (35 Patients)
2014The two stage least squares method assumes that the independent variable (x-variable) is problematic, meaning that it is somewhat uncertain. An additional variable can be argued to provide relevant information about the problematic variable, and is, therefore, called instrumental variable, and included in the analysis.
Ton J Cleophas, Aeilko H Zwinderman
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2013
Both path analysis and multistage least squares are adequate for simultaneously assessing both direct and indirect predictors. This makes interpretation less easy. Also, path analysis does not provide overall p-values.
Ton J. Cleophas, Aeilko H. Zwinderman
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Both path analysis and multistage least squares are adequate for simultaneously assessing both direct and indirect predictors. This makes interpretation less easy. Also, path analysis does not provide overall p-values.
Ton J. Cleophas, Aeilko H. Zwinderman
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Partially Generalized Least Squares and Two-Stage Least Squares Estimators
Journal of Econometrics, 1983Abstract A class of partially generalized least squares estimators and a class of partially generalized two-stage least squares estimators in regression models with heteroscedastic errors are proposed. By using these estimators a researcher can attain higher efficiency than that attained by the least squares or the two-stage least squares estimators ...
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Jackknifing the two stage least squares estimator
Communications in Statistics - Simulation and Computation, 1984A link is established between jackknifing smooth functions of regression parameter estimators in the general linear model and jackknifing the two stage least squares estimator in the simulta- neous equation model. Hinkley's weighted jackknife is explored and is shown to have a smaller variance than the standard jack- knife estimator in the context of ...
G. D. A. Phillips, B. P. McCabe
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The Nonlinear Two-Stage Least-Squares Estimator
Journal of Econometrics, 1974In this paper we consider estimation of the parameters of a single equation of a simultaneous equations model which is nonlinear both in variables and paarmeters. Such a model has never been analyzed in the literature to the best of our knowledge. Models in which the nonlinearity appears only in variables or only in parameters have been previously ...
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Two- or three-stage least squares?
Computer Science in Economics and Management, 1988Two elements enter the choice between 2 and 3SLS for full-system estimation: statistical efficiency and computational cost. 2SLS always has the computational edge, but 3SLS can be more efficient, a relative advantage that increases with the strength of the interrelations among the error terms. A measure of these interrelations is thus helpful in making
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International Economic Review, 1974
THE THREE STAGE LEAST SQUARES (3SLS), as proposed by Zellner and Theil [4], is a procedure for estimating simultaneously a complete system of linear stochastic structural equations. The estimilator is a straightforward application of Aitken's generalized least squares after a suitable transformation is applied to the system.
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THE THREE STAGE LEAST SQUARES (3SLS), as proposed by Zellner and Theil [4], is a procedure for estimating simultaneously a complete system of linear stochastic structural equations. The estimilator is a straightforward application of Aitken's generalized least squares after a suitable transformation is applied to the system.
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The Existence of Moments of the Ordinary Least Squares and Two-Stage Least Squares Estimators
Econometrica, 1972This paper deals with two single-equation estimators in a set of simultaneous linear stochastic equations--namely, ordinary least squares (OLS) and two-stage least squares (2SLS). Under the assumption that all predetermined variables in the model are exogenous, necessary and sufficient conditions are obtained for the existence of even moments of the ...
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Two-Stage Least Squares or Gradient Matching
2017This chapter presents indirect methods of fitting parameters to ordinary differential equation models. Rather than solving the ODE, we instead obtain non-parametric estimates of the state trajectory and its derivative. This allows the right hand side of the ODE to be fit to the estimated derivatives, which is often numerically easier than the ...
James Ramsay, Giles Hooker
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