caa a22 4500 475826787 CHVBK 20180406123830.0 cr unu---uuuuu 170329e20001201xx s 000 0 eng 10.1023/A:1017573209686 doi (NATIONALLICENCE)springer-10.1023/A:1017573209686 Pan Guohua Department of Mathematics and Statistics, Oakland University, 48309, Rochester, MI, U.S.A. aut Nonparametric Methods for Checking the Validity of Prior Order Information [Elektronische Daten] [Guohua Pan] A large number of statistical procedures have been proposed in the literature to explicitly utilize available information about the ordering of treatment effects at increasing treatment levels. These procedures are generally more efficient than those ignoring the order information. However, when the assumed order information is incorrect, order restricted procedures are inferior and, strictly speaking, invalid. Just as any statistical model needs to be validated by data, order information to be used in a statistical analysis should also be justified by data first. A common statistical format for checking the validity of order information is to test the null hypothesis of the ordering representing the order information. Parametric tests for ordered null hypotheses have been extensively studied in the literature. These tests are not suitable for data with nonnormal or unknown underlying distributions. The objective of this study is to develop a general distribution-free testing theory for ordered null hypotheses based on rank order statistics and score generating functions. Sufficient and necessary conditions for the consistency of the proposed general tests are rigorously established. The Institute of Statistical Mathematics, 2000 Distribution-free test nationallicence lack-of-fit nationallicence ordered null hypothesis nationallicence order restricted inferences nationallicence partial order nationallicence Annals of the Institute of Statistical Mathematics Kluwer Academic Publishers 52/4(2000-12-01), 680-697 0020-3157 52:4<680 2000 52 10463 https://doi.org/10.1023/A:1017573209686 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1017573209686 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Pan Guohua Department of Mathematics and Statistics, Oakland University, 48309, Rochester, MI, U.S.A aut NATIONALLICENCE 773 0- Annals of the Institute of Statistical Mathematics Kluwer Academic Publishers 52/4(2000-12-01), 680-697 0020-3157 52:4<680 2000 52 10463 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer