This paper discusses the distributions of several cluster statistics a
nd illustrates their utility in the analysis of disease incidence or p
revalence data arising in organized or structured environments. Such e
nvironments involve primary inhabitant locations in office buildings,
manufacturing plants, apartment complexes and communities of homes, fo
r example. The methods, which include some generalizations of some exi
sting methods as well as some new ones, will be used to test for house
hold clustering of Trypanosoma cruzi seropositivity data.