IMPROVEMENTS AND MODIFICATIONS OF TARONES MULTIPLE TEST PROCEDURE FORDISCRETE-DATA

Tarone (1990, Biometrics 46, 515-522) proposed a multiple test procedu re for discrete test statistics improving the usual Bonferroni procedu re. However, Tarone's procedure is not monotone depending on the prede termined multiple level alpha. Roth (1998, Journal of Statistical Plan ning and inference, in press) developed a monotone version of Tarone's procedure. We present a similar procedure that is both monotone and a n improvement of Tarone's proposal. Based on this extension, we derive a step-down procedure that is a corresponding improvement of Helm's ( 1979, Scandinavian Journal of Statistics 6, 65-70) sequentially reject ive procedure. It is shown how adjusted p-values can be computed for t he monotone procedures. Finally, the described ideas are applied to th e concept of Ruger tests.