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Missing Value Problems in Multiple Linear Regression with Two Independent Variables

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Advances in the Statistical Sciences: Foundations of Statistical Inference

Part of the book series: The University of Western Ontario Series in Philosophy of Science ((WONS,volume 35))

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Abstract

The relative accuracies of frequently used estimators and an alternative estimator of regression coefficients are investigated for the case of two independent variables x 1 and x 2 with missing values on x2 only. A Monte Carlo study of observations generated from a trivariate normal distribution is performed. It is found that for a wide class of conditions, in the sense of mean squared error, the alternative method is superior to the method of linear prediction and the method of maximum likelihood for estimating the coefficients of both completely and incompletely observed variables.

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© 1987 D. Reidel Publishing Company

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Ali, M.A. (1987). Missing Value Problems in Multiple Linear Regression with Two Independent Variables. In: MacNeill, I.B., Umphrey, G.J., Safiul Haq, M., Harper, W.L., Provost, S.B. (eds) Advances in the Statistical Sciences: Foundations of Statistical Inference. The University of Western Ontario Series in Philosophy of Science, vol 35. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-4788-7_15

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  • DOI: https://doi.org/10.1007/978-94-009-4788-7_15

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-8623-3

  • Online ISBN: 978-94-009-4788-7

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