Helmut Finner (Deutsches Diabetes-Forschungsinstitut an der Heinrich-Heine-Universität Düsseldorf, Germany),

Markus Roters (Universität Potsdam, Germany)

Multiple hypotheses testing and expected type I errors

In this paper we investigate the behaviour of the expected number of type I errors *EV _{n}* (say) of multiple test procedures for

References:

- Finner, H. Roters, M.(1994).On the limit behaviour of the joint distribution function of order statistics. The Annals of the Institute of Statistical Mathematics 46, 343-349.
- Finner, H.& Roters, M.(1998) Asymptotic comparison of step-down and step-up multiple test procedures based on exchangeable test statistics. The Annals of Statistics 26, 505-524.
- Finner, H.& Roters, M.(1999).Asymptotic comparison of the critical values of step-down and step-up multiple comparison procedures.Journal of Statistical Planning and Inference 79, 11-30.
- Finner, H.& Roters, M (2000).On the critical value behaviour of multiple decision procedures. Scandinavian Journal of Statistics. 27, 1-11.
- Finner, H.& Roters, M. (2000). Asymptotic sharpness of product-type inequalities for maxima of random variables with applications in multiple comparisons.Statistica Sinica, in revision.
- Finner, H.& Roters, M.(2000).Multiple hypotheses testing and expected type I errors.t In preparation.
- Spjotvoll, E. (1972). On the optimality of some multiple comparison procedures. The Annals of Mathematical Statistics 43, 398-411.