Identification of fragile sites is a way to investigate the genetic abnorma
lities that are the hallmark of cancer and play an important role in carcin
ogenesis. Manifestation of nonrandom breakage at a chromosome band is an es
sential criterion for determination of the fragility of the band. In this a
rticle. a new detection procedure is proposed. This new procedure takes the
relationship of one site with the others into consideration and can be app
lied to tests of the randomness of breakpoints under either the proportiona
l probability model (PPM) or the equiprobability model (EPM). The procedure
can form a grouping structure that classifies all sites into several clust
ers. It is applied to identification of fragile sites for a real data set f
or Chinese patients with colorectal carcinoma for illustration of the propo
sed method.