Application Statistical Models for Interpretation Toxicological Data

Abstract

Abstract The results of bioassay on infusoria of 75 samples of bottom sediments from 6 water bodies of the Middle Volga region were analyzed using traditional nonparametric methods and statistical models Generalized linear mixed model (GLMM) and Cumulative link mixed model (CLMM). The ambiguity of the interpretation of the results of biotesting performed by nonparametric methods is due to the fact that the toxicological data often do not correspond to the normal distribution. The use of the GLMM and CLMM models allow analyze data that do not correspond to the normal distribution and made it possible to clarify the level of toxicity of a number of ambiguous samples, which, after processing by mathematical model algorithms, acquire the status of either exactly toxic or exactly non-toxic.