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A new approach to overcome shortcomings with multiple testing of reproduction data in ecotoxicology

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Abstract

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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Acknowledgments

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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Authors and Affiliations

  1. Federal Environment Agency, Dessau-Roßlau, Germany

    René Lehmann, Jean Bachmann, Dirk Maletzki & Christian Polleichtner

  2. ToxRat Solutions GmbH, Alsdorf, Germany

    Hans Toni Ratte & Monika Ratte

Authors
  1. René Lehmann
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  2. Jean Bachmann
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  3. Dirk Maletzki
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  4. Christian Polleichtner
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  5. Hans Toni Ratte
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  6. Monika Ratte
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Corresponding author

Correspondence to René Lehmann.

Appendix

Appendix

See Tables 4, 5 and 6.

Table 4 Data sets 1–3: yield of Lemna minor L. reproduction after exposure to 3,5-DCP
Full size table
Table 5 Data set 5: cumulative numbers of snail embryos (Potamopyrgus antipodarum) after 4 weeks exposure to Cd
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Table 6 Data sets 6–7: fictitious reproduction data
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1.1 R-Code: CP

1.2 R-Code: CAT

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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

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