Estimating the mean and standard deviation of concentration distributions using censored samples

Environmental data sets of pollutant concentrations in air, water, and soil frequently include unquantified sample values reported only as being below the analytical method detection limit. These values, referred to as censored values, should be considered in the estimation of distribution parameters as each represents some value of pollutant concentration between zero and the detection limit. Most of the currently accepted methods for estimating the population parameters of environmental data sets containing censored values rely upon the assumption of an underlying normal (or transformed normal) distribution. This assumption can result in unacceptable levels of error in parameter estimation due to the unbounded left tail of the normal distribution. With the beta distribution, which is bounded by the same range of a distribution of concentrations, $\rm\lbrack0\le x\le1\rbrack,$ parameter estimation errors resulting from improper distribution bounds are avoided. This work developed a method that uses the beta distribution to estimate population parameters from censored environmental data sets and evaluated its performance in comparison to currently accepted methods that rely upon an underlying normal (or transformed normal) distribution. Data sets were generated assuming typical values encountered in environmental pollutant evaluation for mean, standard deviation, and number of variates. For each set of model values, data sets were generated assuming that the data was distributed either normally, lognormally, or according to a beta distribution. For varying levels of censoring, two established methods of parameter estimation, regression on normal ordered statistics, and regression on lognormal ordered statistics, were used to estimate the known mean and standard deviation of each data set. The method developed for this study, employing a beta distribution assumption, was also used to estimate parameters and the relative accuracy of all three methods were compared. For data sets of all three distribution types, and for censoring levels up to 50%, the performance of the new method equaled, if not exceeded, the performance of the two established methods. Because of its robustness in parameter estimation regardless of distribution type or censoring level, the method employing the beta distribution should be considered for full development in estimating parameters for censored environmental data sets. ^

Comprehensive environmental study in high risk areas for cancer patients comparing air and water Aspergillus species samples

Background. Nosocomial invasive aspergillosis (a highly fatal disease) is an increasing problem for immunocompromised patients. Aspergillus spp. can be transmitted via air (most commonly) and by water. ^ The hypothesis for this prospective study was that there is an association between patient occupancy, housekeeping practices, patients, visitors, and Aspergillus spp. loading. Rooms were sampled as not terminally cleaned (dirty) and terminally cleaned (clean). The secondary hypothesis was that Aspergillus spp. positive samples collected from more than one sampling location within the same patient room represent the same isolate. ^ Methods. Between April and October 2004, 2873 environmental samples (713 air, 607 water, 1256 surface and 297 spore traps) were collected in and around 209 “clean” and “dirty” patient rooms in a large cancer center hospital. Water sources included aerosolized water from patient room showerheads, sinks, drains, and toilets. Bioaerosol samples were from the patient room and from the running shower, flushing toilet, and outside the building. The surface samples included sink and shower drains, showerheads, and air grills. Aspergillus spp. positive samples were also sent for PCR, molecular typing (n = 89). ^ Results. All water samples were negative for Aspergillus spp. There were a total of 130 positive culturable samples (5.1%). The predominant species found was Aspergillus niger. Of the positive culturable samples, 106 (14.9%) were air and 24 (3.8%) were surface. There were 147 spore trap samples, and 49.5% were positive for Aspergillus/Penicillum spp. Of the culturable positive samples sent for PCR, 16 were indistinguishable matches. There was no significant relationship between air and water samples and positive samples from the same room. ^ Conclusion. Primarily patients, visitors and staff bring the Aspergillus spp. into the hospital. The high number of A. niger samples suggests the spores are entering the hospital from outdoors. Eliminating the materials brought to the patient floors from the outside, requiring employees, staff, and visitors to wear cover up over their street clothes, and improved cleaning procedures could further reduce positive samples. Mold strains change frequently; it is probably more significant to understand pathogenicity of viable spores than to commit resources on molecular strain testing on environmental samples alone. ^

Impact of environmental regulations on lead concentrations in Texas ambient air and water: 1970--1990

In the last two decades, the significance of lead has been addressed in a number of environmental regulations at the national and state levels. This project investigated the environmental regulations (Clean Air Act and Amendments, 1970-1990 and Clean Water Act of 1977) and their cumulative effects on lead in ambient air and water in the state of Texas. For this purpose, historical records from the Texas Water Development Board, Texas Natural Resources Conservation Commission, and the United States Geological Survey have been assembled and analyzed for temporal and spatial trends. These trends might correspond to the phase out of lead in gasoline and other regulations.^ This study concluded that there is a significant correlation (p $\leq$.001) between environmental regulations of lead in gasoline and the concentration of lead in ambient air. Lead concentrations in ambient air have been reduced by over 90 percent in the past twenty years. An overall significant difference (p $\leq$.001) was found in mean (94, 15 respectively) lead concentrations in surface water between two time periods, one at the beginning of the twenty year period and one at the end of the study period. There has been an overall reduction of lead concentrations in surface water in Texas of approximately 84 percent. However, this reduction cannot be statistically associated with any one regulation. Groundwater data could not be analyzed for lead concentrations because of limitations of reporting data as "less than". Approximately two percent of the groundwater data was analyzed by Oneway ANOVA and no significant difference was found between the means (18, 19 respectively) of two time periods, 1977-1979 and 1988-1990. This data is consistent with the regulations having a contributory affect on declining concentrations, but other factors cannot be ruled out as having added to these declines. This study can also serve as a starting point for a more in-depth study of environmental regulations and their impact on the environment. ^