Abstract
We consider a multiple testing problem based on an i.i.d. sample of K-dimensional observations. We want to test whether at least one of the unknown means is positive. We propose a sequential test which is of the nature of a multiple truncated sequential probability ratio test. We asymptotically analyse the expected sample size and compare it to the sample sizes which arise when one looks at effects separately.
Similar content being viewed by others
References
Chow YS, Teicher H (1988) Probability theory. Springer, New York
Gut A (1988) Stopped random walks. Springer, New York
Gut A, Schwabe R (1996) Some properties of multiple decisions following a sequential test. Seq Anal 15: 299–310
Gut A, Schwabe R (1999) Some remarks on repeated significance tests for linear contrasts. J Stat Plan Inference 82: 25–34
Hunter J (1974) Renewal theory in two dimensions: asymptotic results. Adv Appl Probab 6: 546–562
Irle A, Lotov VI (2004) A nonsymmetric sequential test. Metrika 59: 137–146
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Irle, A., Lotov, V. On the properties of a multiple sequential test. Metrika 72, 189–198 (2010). https://doi.org/10.1007/s00184-009-0247-2
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00184-009-0247-2