Estimating the 5-percentile of the species sensitivity distributions without any assumptions about the distribution

Citation
N. Van Der Hoeven, Estimating the 5-percentile of the species sensitivity distributions without any assumptions about the distribution, ECOTOXICOL, 10(1), 2001, pp. 25-34
Citations number
6
Categorie Soggetti
Environment/Ecology
Journal title
ECOTOXICOLOGY
ISSN journal
09639292 → ACNP
Volume
10
Issue
1
Year of publication
2001
Pages
25 - 34
Database
ISI
SICI code
0963-9292(200102)10:1<25:ET5OTS>2.0.ZU;2-L
Abstract
A non-parametric method is described to estimate the hazardeous concentrati on for p% of the species, the HCp, and the confidence limits for this value , the HCp(alpha). For this method, all observed sensitivities are ordered f rom high to low sensitivity. The HC5 is the k-th observation were k is the largest integer below 0.05 x (n + 1). It is described how the HCp(alpha) ca n be calculated. A table is presented for easy calculation of several conse rvative confidence limits for the HC5. For the HC5(0.05), a second table is presented which can be used to interpolate between the conservative estima te of the HC5(0.05) and the next higher observed concentration. The non-par ametric HC5 and HC5(0.05) estimation is illustrated with an example of sens itivity data on malathion. For this data set, the log-normal HC5 and HC5(0. 05) estimations appear to be conservative compared with the non-parametric estimate. It is stressed that HC5 and HC5(0.05) estimates will often be muc h more affected by the non-randomness of the species set for which sensitiv ity data are available than by the choice of the statistical method.