Conditional inference under simultaneous stochastic ordering constraints

Journal of Statistical Planning and Inference

Volumn 137, Issue 8, 2007, Pages 2633-2641

  Finos, Livio ^a   Salmaso, Luigi ^b   Solari, Aldo ^b  

^a UNIVERSITY OF FERRARA   (Italy)

^b UNIVERSITY OF PADOVA   (Italy)

Author keywords

Combining dependent permutation tests; Multiple testing; Order restricted inference; Permutation test; Stochastic ordering

Indexed keywords

EID: 34247626879     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jspi.2006.04.014     Document Type: Article

References (16)

1. Abelson R.P., and Tukey J.W. Efficient utilization of non-numerical information in quantitative analysis: general theory and the case of the simple order. Ann. Math. Statist. 34 (1989) 1347-1369
2. Bacelli F., and Makowski A.M. Multidimensional stochastic ordering and associated random variables. Oper. Res. 37 (1989) 478-487
3. Dietz E.J. Multivariate generalizations of Jonckheere's test for ordered alternatives. Comm. Statist-Theory Methods 18 (1989) 3763-3783
4. El Barmi H., and Mukerjee H. Inferences under a stochastic ordering constraint: the k-sample case. J. Amer. Statist. Assoc. 100 (2005) 252-261
5. Hoeffding W. The large-sample power of tests based on permutations of observations. Ann. Math. Statist. 23 (1952) 169-192
6. Hogg R.V. On models and hypotheses with restricted alternatives. J. Amer. Statist. Assoc. 60 (1965) 1153-1162
7. Lehmann E.L., Romano J., 2005. Testing Statistical Hypotheses. third ed. Springer, Berlin.
8. Loughin T.M. A systematic comparison of methods for combining p-values from independent tests. Comput. Statist. Data Anal. 47 (2004) 467-485
9. Marshall A., Olkin I., 1979. Inequalities: Theory of Majorization and Its Applications. Academic Press, New York.
10. Pesarin F., 2001. Multivariate Permutation Tests with Applications in Biostatistics, Wiley, Chichester.
11. Roy S.N., Gnanadesikan R., Srivastava J.N. 1971. Analysis & Design of Certain Quantitative Multiresponse Experiments. Pergamon Press Ltd., Oxford.
12. Salmaso L., and Solari A. Nonparametric iterated combined tests for genetic differentiation. Comput. Statist. Data Anal. 50 (2006) 1105-1112
13. Schaafsma W., and Smid L.J. Most stringent somewhere most powerful tests against alternatives restricted by a number of linear inequalities. Ann. Math. Statist. 37 (1966) 1161-1172
14. Silvapulle J.S., Sen P.K., 2005. Constrained Statistical Inference. Inequality, Order, and Shape Restictions. Wiley, New Jersey.
15. Sim S., and Johnson R.A. New tests for multivariate ordered alternatives. Comm. Statist. Theory Methods 33 (2004) 2027-2039
16. Westfall P.H., Kropf S., Finos L., 2004. Weighted FWE-controlling methods in high-dimensional situations. In: Y. Benjamini, F. Bretz, S. Sarkar (Eds.), Recent developments in Multiple Comparison Procedures, Institute of Mathematical Statistics Lecture Notes - Monograph Series 47, pp. 143-154.