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Theory and Method

A Likelihood Ratio Test regarding Two Nested but Oblique Order-Restricted Hypotheses

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Pages 881-886 | Received 01 May 1983, Published online: 12 Mar 2012

References

  • Barlow , R. E. , Bartholomew , D. J. , Bremner , J. M. and Brunk , H. D. 1972 . Statistical Inference Under Order Restrictions , New York : John Wiley .
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  • Bickel , P. J. and Doksum , K. A. 1977 . Mathematical Statistics: Basic Ideas and Selected Topics , San Francisco : Holden-Day .
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  • Dykstra , R. L. and Robertson , Tim . 1982 . “Order Restricted Statistical Tests on Multinomial and Poisson Parameters: The Star-shaped Restriction,” . Annals of Statistics , 10 : 1246 – 1252 .
  • Dykstra , R. L. and Robertson , Tim . 1983 . “On Testing Monotone Tendencies,” . Journal of the American Statistical Association , 78 : 342 – 350 .
  • Robertson , Tim . 1975 . “On Likelihood Ratio Tests of Trend,” , University of North Carolina, Institute of Statistics . Mimeo 991
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  • Robertson , Tim and Warrack , Giles . 1981 . “On Testing Two Theories Regarding the Genetic Makeup of Patients Suffering From Unipolar Affective Disorder,” , University of Iowa, Dept. of Statistics and Actuarial Science . Technical Report 76
  • Robertson , Tim and Wegman , Edward J. 1978 . “Likelihood Ratio Tests for Order Restriction in Exponential Families,” . Annals of Statistics , 6 : 485 – 505 .
  • Robertson , Tim and Wright , F. T. 1981 . “Likelihood Ratio Tests For and Against a Stochastic Ordering Between Multinomial Populations,” . Annals of Statistics , 9 : 1248 – 1257 .
  • Robertson , Tim and Wright , F. T. 1983 . “On Approximation of the Level Probabilities and Associated Distributions in Order Restricted Inference,” . Biometrika , 70 : 597 – 606 .
  • Winokur , G. , Cadoret , R. J. , Dorzab , J. and Baber , M. 1971 . “Depressive Disease: A Genetic Study,” . Archsgen Psychist , 24 : 135

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