M. C. Pardo, Y. Lu, A. M. Franco Pereira
In phase I or even phase II trials, multiple dose levels are tested for either safety or efficacy. A stochastic order or an umbrella shape dose relationship is often biologically justified. The contribution of this work is to define empirical likelihood and chi-squared-based test statistics for stochastic and umbrella orderings. The asymptotic null distribution of the proposed statistics is obtained. Statistical powers of the proposed tests are computed via simulation studies and compared to those of the existing tests. Furthermore, Type-I error robustness of the proposed and existing tests are studied also via simulation. Finally, our proposals are illustrated with several real data sets.
Palabras clave: empirical likelihood test statistic, chi-squared test statistic, umbrella ordering, stochastic ordering
Programado
GT12-1 Ordenaciones estocásticas y sus aplicaciones
5 de septiembre de 2019 16:05
I2L5. Edificio Georgina Blanes