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Journal of the American Statistical Association Volume 71, 1976 - Issue 356
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Theory and Method

The Power of two Tests for Nonadditivity

Victor Hegemann Department of Mathematics, Cameron State College, Lawton, OK, 73501, USA
&
Dallas E. Johnson Department of Statistics, Kansas State University, Manhattan, KA, 66506, USA
Pages 945-948 | Received 01 Jun 1974, Published online: 05 Apr 2012

References

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  • Graybill , Franklin A. 1961 . An Introduction to Linear Statistical Models, Vol. I , New York : McGraw-Hill Book Co. .
  • Graybill , Franklin A. 1969 . An Introduction to Matrices with Applications in Statistics , Belmont , Calif. : Wadsworth Publishing Co. .
  • Hegemann , Victor and Johnson , Dallas E. 1976 . “On Analyzing Two-Way AoV Data with Interaction” . Technometrics , 18 August to appear in
  • James , A. T. 1964 . “Distributions of Matrix Variates and Latent Roots Derived from Normal Samples” . Annals of Mathematical Statistics , 35 June : 475 – 501 .
  • Johnson , Dallas E. and Graybill , Franklin A. 1972 . “An Analysis of a Two-Way Model with Interaction and No Replication” . Journal of the American Statistical Association , 67 December : 862 – 8 .
  • Johnson , Dallas E. and Hegemann , Victor . 1974 . “Procedures to Generate Random Matrices with Non-Central Distributions” . Communications in Statistics , 3 ( No. 7 ) : 691 – 9 .
  • Mandel , John . 1961 . “Non-Additivity in Two-Way Analysis of Variance” . Journal of the American Statistical Association , 56 December : 878 – 88 .
  • Mandel , John . 1971 . “A New Analysis of Variance Model for Non-Additive Data” . Technometrics , 13 February : 1 – 18 .
  • Scheffé , Henry . 1959 . The Analysis of Variance , New York : John Wiley & Sons, Inc. .
  • Searle , S. R. 1971 . Linear Models , New York : John Wiley & Sons, Inc. .
  • Tukey , John W. 1949 . “One Degree of Freedom for Non-Additivity” . Biometrics , 5 September : 232 – 42 .
  • Ward , G. C. and Dick , I. D. 1952 . “Non-Additivity in Randomized Block Designs and Balanced Incomplete Block Designs” . New Zealand Journal of Science and Technology , 33 May : 430 – 6 .
  • Williams , E. J. 1952 . “The Interpretation of Interactions in Factorial Experiments” . Biometrika , 39 ( No. 1 ) : 65 – 81 .

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