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SMALL SAMPLE PROPERTIES OF THEPOWER FUNCTION OF F TESTS IN TWO-WAYERROR COMPONENT REGRESSION

SMALL SAMPLE PROPERTIES OF THE POWER FUNCTION OF F TESTS IN TWO-WAY ERROR COMPONENT REGRESSION
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摘要 In this paper we investigate properties of the power function of the generalized least squaresF ted for linear hypotheses under regression models with two-way error component model. Thecovariance structure of the model depends on the correlation coefficients ρ1 and ρ2 correspondingto the random effects. This model has been frequently applied to the analysis of panel data.In general, we show that the power is a monotonically increasing function of ρ1 (ρ2) in a regionwhich is ciO6e to the ρ1 (ρ2) axis, and a monotonically decreasing function of ρ1 (ρ2) in a regionclose to the ρ2 (ρ1) axis. In this paper we investigate properties of the power function of the generalized least squaresF ted for linear hypotheses under regression models with two-way error component model. Thecovariance structure of the model depends on the correlation coefficients ρ1 and ρ2 correspondingto the random effects. This model has been frequently applied to the analysis of panel data.In general, we show that the power is a monotonically increasing function of ρ1 (ρ2) in a regionwhich is ciO6e to the ρ1 (ρ2) axis, and a monotonically decreasing function of ρ1 (ρ2) in a regionclose to the ρ2 (ρ1) axis.
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 1999年第3期287-296,共10页 应用数学学报(英文版)
关键词 Generalized least squares F test noncentrality parameter variance components Generalized least squares F test noncentrality parameter variance components
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参考文献12

  • 1T.D. Wallace,A. Hussain.The Use of Error Components Models in Combining Cross-section andTime-series Data. Econometrica . 1969
  • 2B.H. Baltagi.Econometric Analysis of Panel Data. . 1995
  • 3J.N.K. Rao,S.G. Wang.On the Power of F Tests under Reagression Models with Nested ErrorStructure. Journal of Multivariate Analysis . 1995
  • 4P.J. Diggle.An Approach to the Analysis of Repeated Measures. Biometrical Journal . 1988
  • 5C.R. Rao,J. Kleffe.Estimation of Variance Components and Applications. . 1988
  • 6S.R. Searle,G. Casella,C.E. McCulloch.Variance Components. . 1992
  • 7P.A.V.B. Swamy,S.S. Arora.The Exact Finite Sample Properties of the Estimators of Coefficientsin the Error Components Regression Models. Econometrica . 1972
  • 8A. Zellner.An Efficient Method of Estimating Seemingly Unrelated Regression and Tests for Aggregstion Bias. Journal of the American Statistical Association . 1962
  • 9S.G. Wang,S.C. Chow.Advanced Linear Models: Theory and Applications. . 1994
  • 10E.L. Lehmann.Testing Statistical Hypotheses, 2nd ed. . 1986

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