Nonparametric Procedures for Finding the Minimum Effective Dose in Each of Several Group Bae, Su-Hyun; Kim, Dong-Jae;
The primary interest of drug development studies is to estimate the smallest dose that shows a significant difference from the zero-dose control. The smallest dose is called the Minimum Effective dose(MED). In this paper, we suggest a nonparametric procedure to simultaneously find the MED of each group based on placements. The Monte Carlo simulation is adapted to estimate the power and the family-wise error rate(FWE) of the new procedures with those of discussed nonparametric tests to find MED.
Chen, Y. I. (1999). Nonparametric identification of the minimum effective dose, Biometrics, 55, 1236-1240.
Chen, Y. I. and Jan, S. L. (2002). Nonparametric identification of the minimum effective dose for randomized block designs, Communications in Statistics-Simulation and Computation, 31, 310-312.
Chen, Y. I. and Wolfe, D. A. (1993). Nonparametric procedures for comparing umbrella pattern treatment effect with a control in a one-wal layout, Biometrics, 49, 455-465.
Dunnett, C. W. and Tamhane, A. C. (1991). Step-down multiple tests for comparing treatments with a control in unbalanced one-way layouts, Statistics in medicine, 10, 939-947.
Hettmansperger, T. P. (1984). Statistical Inference Based on Ranks, John Wiley & Sons, New York.
Hochberg, Y. and Tamhane, A. C. (1987). Multiple Comparison Procedures, John Wiley & Sons, New York.
House, D. E. (1986). Nonparametric version of Williams' test for a randomized block design, Biometrics, 42, 197-190.
Jan, S. L. and Chen, Y. I. (2004). Nonparametric procedures for simultaneous identification of the minimum effective dose in each of several group, Journal of biopharmaceutical Statistics, 14, 781-789.
Orban, J. and Wolfe, D. A. (1982). A class of distribution-free two-sample tests based on placements, Journal of the Americann statistical Association, 77, 666-672.
Randles, R. H. and Wolfe, D. A. (1979). Introduction to the Theory of Nonparametric Statistics, John Wiley & Sons, New York.
Ruberg, S. J. (1989). Contrasts for identifying the minimum effective dose, Journal of the American Statistical Association, 84, 816-822.
Shirley, E. (1977). A nonparametric equivalent of Williams' test for comparing increasing dose levels of a treatment, Biometrics, 33, 386-389.
Tamhane, A. C., Hochberg, Y. and Dunnett, C. W. (1996). Multiple test procedures for dose finding, Biometrics, 52, 21-37.
Williams, D. A. (1986). A note on Shirley's nonparametric test for comparing several dose levels with a zero-dose control, Biometrics, 42, 183-186.