In ecotoxicology species reproduction tests and multiple testing of reproduction data are wide spread. While normal approximation of the data is a minor problem often the requirement of variance homogeneity is not fulfilled. Variance homogeneity is necessary to assure the proper application of statistical procedures like pairwise t tests, Dunnett t test, and Williams t test. A Poisson model can solve this issue preserving meaningful results and rendering statistical analysis more reliable. Moreover, sequential application of pairwise statistical “control vs. treatment” tests is a drawback concerning \(\alpha \)-inflation. The closure principle (CP) for hypothesis testing is used to generate a step-wise approach for detection of the No/Lowest Observed Effect Concentration using the computational approach test (CAT). The advantages and disadvantages of the combined CPCAT approach compared to the widely used t tests are pointed out and results of real data and fictitious data analysis are compared revealing the superiority of the Poisson model and CPCAT.
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We thank Jörg Oehlmann (Goethe-University Frankfurt, Germany) for providing detailed information concerning snail reproduction after exposure to Cd (data set 5).
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Lehmann, R., Bachmann, J., Maletzki, D. et al. A new approach to overcome shortcomings with multiple testing of reproduction data in ecotoxicology. Stoch Environ Res Risk Assess 30, 871–882 (2016). https://doi.org/10.1007/s00477-015-1079-4
- Poisson distribution
- Species reproduction
- T test
- Closure principle computational approach test
- Count data