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Original Articles

When can random effects be treated as fixed effects for computing a test statistic for a linear hypothesis?

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Pages 1089-1109 | Published online: 27 Jun 2007

Bibliography

  • Albert , A. 1976 . When is a sum of squares an analysis of variance? . Ann Statist , 4 : 775 – 778 .
  • Birkes , D. , Dodge , Y. and Seely , J.F. 1976 . Spanning sets for estimable contrasts In classification models . Ann. Statist , 4 : 86 – 107 .
  • Brown , K. 1963 . Subbalanced data and the mixed analysis of variance . J. Amer. Statist. Assoc , 78 : 162 – 167 .
  • Brown , K. 1964 . On analysis of variance in the mixed model . Ann. Statist , 12 : 1488 – 1499 .
  • Graybill , F. and Hultquist , R.A. 1961 . Theorems concerning Eisenhart's model II . Ann. Math. Statist , 32 : 261 – 269 .
  • Harvi11e , D.A. 1985 . “ A genera1ized verslon of AIbert's theorem with applications to the mixed linear models ” . In Experimental Design, Statistical Models and Genetic Statistics , Edited by: Ilirikelmann , K. 231 – 238 . NY : Marcel Dekker .
  • Hultquist , R.A. and Atzinger , E.M. 1972 . The mixed effects model and simultaneous diagonalization of symmetric matrices . Arm. Math, Statist , 43 : 2023 – 2030 .
  • Imhof , J.P. 1960 . A mixed model for the complete three-way layout with two random effects factors . Ann. Math. Statist , 31 : 906 – 928 .
  • Khuri , A.I. 1984 . “ Interval estimation of fixed effects and functions of variance components in balanced mixed mode ” . In Sanhhijã , B Vol. 46 , 8 – 10 .
  • Rao , C.R. and Mitra , S.K. 1971 . Generalized inverse of Matrices and its Applications , NY : John Wiley & Sons, Inc .
  • Scheffé , H. 1964 . The Analysis of Variance , NY : John Wiley & Sons, Inc .
  • Scheffé , H. 1956 . A mixed model for the analysis of variance . Ann. Math. Statist , 27 : 23 – 36 .
  • Seber , G.A.F. 1977 . Linear Regression Analysis , NY : John Wiley & Sons .
  • Seely , J. and Elbassiouni , Y. 1983 . Applying Wald's Variance Component Test . Ann. Statist , 11 : 197 – 201 .
  • Siefert , B. 1979 . Optimal testing for fixed effects in general balanced mixed classification models . Math. Operationsforsch. Ser. Statistics , 10 : 237 – 255 .
  • Siefert , B. 1981 . Explicit formula of exact tests in mixed balanced ANOVA models . Biom , J23 : 535 – 550 .
  • Snedecor , G.W. and Cochran , W.G. 1972 . Statistical Methods , The Iowa State University Press .

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