References
- Bagenal M. 1955. A note on the relations of certain parameters following a logarithmic transformation. J Mar Biol Assoc UK. 34:289–296.
- Cochran WG. 1938. Some difficulties in the statistical analysis of replicated experiments. Empire J Exp Agric. 6:157–175.
- Cohen J. 1988. Statistical power analysis for the behavioral sciences. Hillsdale (NJ): Lawrence Erlbaum Associates.
- Cox DR. 1958. Planning of experiments. New York: Wiley.
- Dekkers S, de Heer C, Rennen MA. 2001. Critical effect sizes in toxicological risk assessment: a comprehensive and critical evaluation. Environ Toxicol Pharmacol. 10:33–52.
- EFSA 2009. Scientific opinion. Use of the benchmark dose approach in risk assessment. Guidance of the Scientific Committee (Question No EFSA-Q-2005-232). EFSA J. 1150:1–72.
- Kempthorne O. 1952. The design and analysis of experiments. New York: Wiley.
- Furusawa C, Suzuki T, Kashiwagi A, Yomo T, Kaneko K. 2005. Ubiquity of log-normal distributions in intra-cellular reaction dynamic. arXiv preprint q-bio/0503040.
- Galton F. 1879. The geometric mean in vital and social statistics. Proc R Soc. 29:365–367.
- Gebelein H, Heite HJ. 1950. 'Ober die Unsymmetrie biologischer Häufigkeitsverteilungen. Klinische Wochenschrift. 28:41–45.
- Kapteijn JC. 1916. Skew frequency curves in biology and statistics. Recueil Des Travaux Botaniques Neerlandais. 13:105–157.
- Kobayashi N, Kuninaka H, Wakita JI, Matsushita M. 2011. Statistical features of complex systems–toward establishing sociological physics. J Phys Soc Jpn. 80(7):072001. doi: 10.1143/JPSJ.80.072001.
- Limpert E, Stahel WA. 2011. Problems with using the normal distribution-and ways to improve quality and efficiency of data analysis. PLoS One. 6:e21403.
- Mitzenmacher M. 2004. A brief history of generative models for power law and lognormal distributions. Internet Math. 1(2):226–251.
- Slob W, Pieters MN. 1998. A probabilistic approach for deriving acceptable human intake limits and human health risks from toxicological studies: general framework. Risk Anal. 18:787–798.
- Slob W, Setzer RW. 2014. Shape and steepness of toxicological dose-response relationships of continuous endpoints. Crit Rev Toxicol. 44:270–297.
- USEPA. 2012. Benchmark dose technical guidance. Washington (DC): United States Environmental Protection Agency, Risk Assessment Forum (EPA/100/R-12/001). [cited 2014 Apr 22]. Available from: http://www.epa.gov/raf/publications/pdfs/benchmark_dose_guidance.pdf.
- Wachholder K. 1952. Die Variabilität des lebendigen. Die Naturwissenschaften. 39:177–184.
- WHO. 2009. Principles for modeling dose–response for the risk assessment of chemicals. Environmental health criteria 239. Available from: http://www.inchem.org/documents/ehc/ehc/ehc239.pdf.
- WHO. 2014. Guidance document on evaluating and expressing uncertainty in hazard characterization. WHO-IPCS harmonization project document no. 11. ISBN 978 92 4 150761 5. Available from: http://www.who.int/ipcs/methods/harmonization/areas/hazard_assessment/en/.
- Wicksell SD. 1917. On the genetic theory of frequency. Arkiv for Matematik Astronomi och Fysik. 12:1–56.
- Woutersen RA, Jonker D, Stevenson H, te Biesebeek JD, Slob W. 2001. The benchmark approach applied to a 28-day toxicity study with Rhodorsil Silane in rats: the impact of increasing the number of dose groups. Food Chem Toxicol. 39:697–707.