  Motivated by a practical need for the comparison of hemolysis curves at
various treatment levels, we propose a novel method for pairwise comparison of
mean functional responses. The hemolysis curves - the percent hemolysis as a
function of time - of mice erythrocytes (red blood cells) by hydrochloric acid
have been measured among different treatment levels. This data set fits well
within the functional data analysis paradigm, in which a time series is
considered as a realization of the underlying stochastic process or a smooth
curve. Previous research has only provided methods for identifying some
differences in mean curves at different times. We propose a two-level follow-up
testing framework to allow comparisons of pairs of treatments within regions of
time where some difference among curves is identified. The closure multiplicity
adjustment method is used to control the family-wise error rate of the proposed
procedure.
