A KRONECKER-PRODUCT DESIGN AND ITS REDUCIBLE ASSOCIATE
CLASSES
Abstract: Using incidence matrices
of balanced incomplete block (BIB) designs and
their complementary incidence matrices
for
a partially balanced incomplete
block (PBIB) design in the form
is dealt with. Necessary
and sufficient conditions for this rectangular PBIB design to be reducible to
-associate
PBIB designs are discussed. It is also shown that this type of designs is not reducible to any
group divisible PBIB design.
2000 AMS Mathematics Subject Classification: Primary: -; Secondary: -;
Key words and phrases: -