Title:
   Heteroscedastic One-Way ANOVA for a Large Number of Levels


   (A joint work with M. Akritas)


Abstract:     For the purpose of testing equality of means
           in the context of one-way layout when the
           number of levels is large (tends to infinity),
           we introduce a projection method for quadratic
           forms, which simplifies the form of the statistics.
              Applying this method, we improve recent results
           by Broos and Brownie (1995) and Akritas and 
           Arnold (1999) for the homoscedastic case with the
           number of observations per level bounded. We also
           extend these results to the heteroscedastic case,
           and also to the case where the number of observations
           per level also tends to infinity. The limiting 
           distribution of the proposed statistics, under local
           alternatives, is also investigated.