caa a22 4500 475762606 CHVBK 20180406123555.0 cr unu---uuuuu 170329e20000601xx s 000 0 eng 10.1023/A:1009622928188 doi (NATIONALLICENCE)springer-10.1023/A:1009622928188 ‘A powerful alternative to Williams' test with application to toxicological dose-response relationships of normally distributed data [Elektronische Daten] [Frank Bretz, Ludwig Hothorn] The comparison of increasing doses of a treatment to a negative control is frequently part of toxicological studies. For normally distributed data Williams (1971, 1972) introduced a maximum likelihood test under total order restriction. But until now there seems to have been no solution for the arbitrary unbalanced case. According to the idea proposed by Robertson et al. (1988) we will apply in this article the basic concept of Williams on the class of multiple contrast tests for the general unbalanced parametric set-up. Simulation results for size and power and two examples for estimating the minimal toxic dose (MTD) are given. Kluwer Academic Publishers, 2000 Williams test nationallicence multiple contrast test nationallicence MTD nationallicence test on ordered alternatives nationallicence multivariate t-distribution nationallicence Bretz Frank Department of Bioinformatics, University of Hanover, Herrenha¨user Str. 2, D-30419, Hanover, Germany aut Hothorn Ludwig Department of Bioinformatics, University of Hanover, Herrenha¨user Str. 2, D-30419, Hanover, Germany aut Environmental and Ecological Statistics Kluwer Academic Publishers 7/2(2000-06-01), 135-154 1352-8505 7:2<135 2000 7 10651 https://doi.org/10.1023/A:1009622928188 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1009622928188 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Bretz Frank Department of Bioinformatics, University of Hanover, Herrenha¨user Str. 2, D-30419, Hanover, Germany aut NATIONALLICENCE 700 1- Hothorn Ludwig Department of Bioinformatics, University of Hanover, Herrenha¨user Str. 2, D-30419, Hanover, Germany aut NATIONALLICENCE 773 0- Environmental and Ecological Statistics Kluwer Academic Publishers 7/2(2000-06-01), 135-154 1352-8505 7:2<135 2000 7 10651 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer