This paper deals with the discrimination between
more than two hypotheses by means of the
Sobel-Wald-test. Based on an exact procedure
for the computation of the characteristics of
the underlying sequential probability ratio
tests we present for the discrete integer valued
exponential family a hierarchy-stage-algorithm.
This algorithm allows us to compute the average
sample number function of the corresponding
Sobel-Wald-procedure. Examples are presented
for the Bernoulli and Poisson distribution.