Censor data sets, those containing observations that are less than the
analytical chemistry limit of detection (LOD) value, are becoming mor
e common as regulatory agencies and dischargers strive to reduce conce
ntrations of trace organic contaminants in treated effluent. The recen
tly reissued ''Technical Support Document For Water Quality Based Toxi
cs Control,'' a frequently used reference during NPDES permit developm
ent, states that the mean and variance of censored data sets may be de
termined by assuming the data conform to what EPA has termed the ''del
ta log-normal distribution'' (D-LOG). The USEPA D-LOG statistical proc
edure along with two commonly used alternatives (Cohen's MLE and regre
ssion of normal order scores) are described, illustrated with example
calculations and evaluated using Monte Carlo simulation experiments. U
sing minimal absolute bias as the evaluation criteria, Cohen's method
[Technometrics 1:217 (1959)] had superior predictive capability overal
l, particularly for real world data sets. For mean and standard deviat
ion estimators, Cohen's method was at least 2.5 and 1.2 times less bia
sed than those of the EPA recommended methodology, respectively.