The nonrandom occurrence of crossovers along a single strand during me
iosis can be caused by either chromatid interference, crossover interf
erence or both. Although crossover interference has been consistently
observed in almost all organisms since the time of the first linkage s
tudies, chromatid interference has not been as thoroughly discussed in
the literature, and the evidence provided for it is inconsistent. In
this paper with virtually no restrictions on the nature of crossover i
nterference, we describe the constraints that follow from the assumpti
on of no chromatid interference for single spore data. These constrain
ts are necessary consequences of the assumption of no chromatid interf
erence, but their satisfaction is not sufficient to guarantee no chrom
atid interference. Models can be constructed in which chromatid interf
erence clearly exists but is not detectable with single spore data. We
then extend our analysis to cover tetrad data, which permits more pow
erful tests of no chromatid interference. We note that the traditional
test of no chromatid interference based on tetrad data does not make
full use of the information provided by the data, and we offer a stati
stical procedure for testing the no chromatid interference constraints
that does make full use of the data. The procedure is then applied to
data from several organisms. Although no strong evidence of chromatid
interference is found, we do observe an excess of two-strand double r
ecombinations, i.e., negative chromatid interference.