References
- Abelson , R. P. , Tukey , J. W. ( 1963 ). Efficient utilization of non-numerical information in quantitative analysis: general theory and the case of simple order . Ann. Math. Statist. 34 : 1347 – 1369 .
- Akkerboom , J. C. ( 1990 ). Testing Problems with Linear or Angular Inequality Constraints . New York : Springer-Verlag .
- Bartholomew , D. J. ( 1959 ). A test of homogeneity for ordered alternatives . Biometrika 46 : 36 – 48 .
- Bartholomew , D. J. ( 1961a ). A test of homogeneity of means under restricted alternatives (with discussion) . J. Roy. Statist. Soc. B 23 : 239 – 281 .
- Bartholomew , D. J. ( 1961b ). Ordered tests in the analysis of variance . Biometrika 48 : 325 – 332 .
- Berk , R. , Marcus , R. ( 1996 ). Dual cones, dual norms, and simultaneous inference for partially ordered means . J. Amer. Statist. Assoc. 91 : 318 – 328 .
- Brown , M. B. ( 1975 ). A method for combining non-independent, one-sided tests of significance . Biometrics 31 : 987 – 992 .
- Conaway , M. , Pillers , C. , Robertson , T. , Sconing , J. ( 1991 ). A circular cone test for testing homogeneity against a simple tree order . Canad. J. Statist. 19 : 283 – 296 .
- Fisher , R. A. ( 1932 ). Statistical Methods for Research Workers. , 4th ed. London : Oliver and Boyd .
- Kotz , S. , Balakrishnan , N. , Johnson , N. L. ( 2000 ). Continuous Multivariate Distributions. Volume 1: Models and Applications. , 2nd ed. New York : Wiley .
- Kost , J. T. , McDermott , M. P. ( 2002 ). Combining dependent p-values . Statist. Probab. Lett. 60 : 183 – 190 .
- McDermott , M. P. ( 1999 ). Generalized orthogonal contrast tests for homogeneity of ordered means . Canad. J. Statist. 27 : 457 – 470 .
- McDermott , M. P. , Mudholkar , G. S. ( 1993 ). A simple approach to testing homogeneity of order constrained means . J. Amer. Statist. Assoc. 88 : 1371 – 1379 .
- Mudholkar , G. S. , McDermott , M. P. ( 1989 ). A class of tests for equality of ordered means . Biometrika 76 : 161 – 168 .
- Mukerjee , H. , Robertson , T. , Wright , F. T. ( 1987 ). Comparison of several treatments with a control using multiple contrasts . J. Amer. Statist. Assoc. 82 : 902 – 910 .
- Pincus , R. ( 1975 ). Testing linear hypotheses under restricted alternatives . Math. Operationsforsch. u. Statist. 6 : 733 – 751 .
- Press , W. H. , Flannery , B. P. , Teukolsky , S. A. , Vetterling , W. T. ( 1990 ). Numerical Recipes in C . Cambridge : Cambridge University Press .
- Robertson , T. , Wright , F. T. , Dykstra , R. L. ( 1988 ). Order Restricted Statistical Inference . New York : Wiley .
- Schaafsma , W. , Smid , L. J. ( 1966 ). Most stringent somewhere most powerful tests against alternatives restricted by a number of linear inequalities . Ann. Math. Statist. 37 :1161–1172.
- Tippett , L. H. C. ( 1931 ). The Method of Statistics, , 1st ed. London : Williams and Northgate .