LC₅₀ estimates and their confidence intervals derived for tests with only one concentration with partial effect.

Nelly van der Hoeven

TNO Institute of Environmental Sciences, P.O. Box 6011, 2600 JA Delft, Schoemakerstraat 97, Delft, The Netherlands.

Nelly van der Hoeven,
ECOSTAT,
Vondellaan 23,
2332 AA Leiden,
The Netherlands
tel.: (+)31-(0)71-5315011; fax: (+)31-(0)842-116988;
email: NvdH @ ecostat.nl

Summary

Linear approximation fails to determine the likelihood based confidence interval for the LC₅₀ parameter in a toxicity experiment with only one concentration causing partial mortality. An equation for this confidence interval is derived given a log-logistic concentration response relation. A table of the 95 and 99% confidence intervals is given for the case that partial survival occurs only at one concentration, under the condition that a fixed number of animals is used at each test concentration and a constant ratio is used between the test concentrations.

keywords: LC₅₀ estimates; confidence intervals; ecotoxicity

Water Research 25: 401-408, 1991

Abstract sluiten

Een selectie uit de publikaties van Nelly van der Hoeven

Is it safe to pool the Blank Control Data with the Solvent Control data? N. van der Hoeven, Ecotoxicol. Environm. Safety, 73:1480-1483, 2010

Multi-criteria decision analysis of test endpoints for detecting the effects of endocrine active substances in fish full life cycle tests. M. Crane, M. Gross, P. Matthiessen, G.T. Ankley, S. Axford, P. Bjerregaard, R. Brown, P. Chapman, M. Dorgeloh, M. Galay-Burgos, J. Green, C. Hazlerigg, J. Janssen, K. Lorenzen, J. Parrott, H. Rufli, C. Schäfers, M. Seki, H.C. Stolzenberg, N. van der Hoeven, D. Vethaak, IJ. Winfield, S. Zok & J. Wheeler Integr Environ Assess Manag., 6: 378-389, 2010

Exposure analysis of bisphenol A in surface water systems in North America and Europe. (PMID:19746705) G.M. Klecka, C.A. Staples, K.E. Clark, N. van der Hoeven, D.E. Thomas & S.G. Hentges Environmental Science & Technology, 43: 6145-6150, 2009

The Minimum Significant Difference at the NOEC calculated with a non-parametric test. Hoeven, N. van der, In: Proceedings of the 30th Anniversary Meeting of the Netherlands Society of Toxicology, june 2009. p. 122

Calculation of the Minimum Significant Difference at the NOEC using a non-parametric test. Hoeven, N. van der, Ecotoxicol. Environm. Safety, 70: 61-66, 2008

Does bisphenol a induce superfeminization in Marisa cornuarietis? Part I: Intra- and inter-laboratory variability in test endpoints. Forbes, V.E., H. Selck, A. Palmqvist, J. Aufderheide, R. Warbritton, N. Pounds, R. Thompson, N. van der Hoeven & N. Caspers Ecotoxicol. Environm. Safety, 66: 309-318, 2007

Does bisphenol A induce superfeminization in Marisa cornuarietis? Part II: Toxicity test results and requirements for statistical power analyses. Forbes, V.E., J. Aufderheide, R. Warbritton, N. van der Hoeven & N. Caspers Ecotoxicol. Environm. Safety, 66: 319-325, 2007

Statistical issues in fish life-cycle tests with many endpoints. Hoeven, N. van der & D.R. Dietrich, Abstract and poster for SETAC Europe, May 2005, Lille

The probability to select the correct model using likelihood-ratio based criteria in choosing between two nested models of which the more extended one is true. Hoeven, N. van der, Journal of Statistical Planning and Inference, 135: 477-486, 2005

Effects of bisphenol A on adult fathead minnow (P. promelas) gonadal histology: a 42-day exposure study. Dietrich, D.R., J. Wolf, A.R. Brown, J.E. Caunter, N. van der Hoeven & U. Friederich, Abstract and poster for the Cluster workshop on Ecological relevance of chemically induced endocrine disruption in wildlife. University of Exeter, july 2004.

The Netherlands working group on Statistics and Ecotoxicology: Statistics and Models for Risk Assessment. Hoeven, N. van der, In: Proceedings of the Jubilee Annual Meeting of the Netherlands Society of Toxicology, june 2004. p. 114

Current issues in statistics and models for Ecotoxicological Risk Assessment. Hoeven, N. van der, Acta Biotheoretica 52: 201-217, 2004

Balancing statistics and ecology: on the lumping of experimental data for model selection. Hoeven, N. van der, L. Hemerik & P.A. Jansen. In: T.A.C. Reydon & L. Hemerik (Eds): Current themes in Theoretical Biology: A Dutch Perspective. pp 233-265. Springer, Dordrecht, The Netherlands, 2004.

Using marine bioassays to classify the toxicity of Dutch harbour sediments. Stronkhorst, J., C. Schipper, J. Brils, M. Dubbeldam, J. Postma & N. van der Hoeven Environmental Toxicology and Chemistry, 22: 1535-1547, 2003

What can egg distributions of solitary parasitoids tell us about the information the parasitoid has and uses for its oviposition decisions? Hemerik, L.,N. van der Hoeven & J. J.M. van Alphen, Acta Biotheoretica, 50: 167-188, 2002

Statistical tests and power analysis for three in-vivo bioassays to determine the quality of marine sediments. Hoeven, N. van der, B. J. Kater & J. F. Pieters, Environmetrics 13: 281-293, 2002

Significance tables for the exact variance test for the Poisson distribution with alternative underdispersion. N. van der Hoeven & L Hemerik, Environmental and Ecological Statistics 9: 201-213, 2002

Estimating the 5-percentile of the species sensitivity distribution without any assumptions about the distribution. N. van der Hoeven, Ecotoxicology 10: 25-34, 2001

Power analysis for the NOEC: What is the probability to detect small toxic effects on three different species using the appropriate standardized test protocols? N. van der Hoeven, Ecotoxicology 7: 355-361, 1998

The acute toxicity of selected alkylphenols on young and adult Daphnia magna. A.A.M. Gerritsen, N. van der Hoeven & A. Pielaat, Ecotoxicol. Environm. Safety 39: 227-232. 1998

The ecotoxicity and the biodegradability of lactic acid, alkyl lactate esters and lactic acid salts. C.T. Bowmer, R.N. Hooftman, A.O. Hanstveit, P.W.M. Venderbosch & N. van der Hoeven, Chemosphere 37: 1317-1333, 1998

How to measure no effect? Part I: Towards a new measure of chronic toxicity in ecotoxicology. Introduction and workshop results. N. van der Hoeven, F. Noppert & A. Leopold, Environmetrics 8: 241-248, 1997

How to measure no effect? Part III: Statistical aspects of NOEC, ECx and NEC estimates. N. van der Hoeven, Environmetrics 8: 255-261, 1997

The effect of chlorpyrifos on individuals of Daphnia pulex in laboratory and field. N. van der Hoeven & A.A.M. Gerritsen, Environm. Toxicol. Chem. 16: 2438-2447, 1997

A model based on soil structural aspects describing the fate of genetically modified bacteria in soil. N. van der Hoeven & J.D. van Elsas, Ecological Modelling 89: 161-173, 1996

Competition between cohorts of juvenile Daphnia magna. E.L. Enserink, N. van der Hoeven, M. Smith, M. van der Klis & M.A. van der Gaag, Archiv für Hydrobiologie 136: 433-454, 1996

Reliability of quantitative toxicity test results: from experimental control to data processing. Enserink, E.L. & N. van der Hoeven, The Science of the Total Environment, suppl. 1993, Proceedings of the Second European Conference on Ecotoxicology, eds. W. Slooff & H. de Kruijf, p. 699-704, 1993

LC50 estimates and their confidence intervals. The case that only one test concentration has partial effect. N. van der Hoeven, Water Research 25: 401-408, 1991

Effects of toxicants on individuals and populations of Daphnia, a simulation study. N. van der Hoeven, Comparative Biochemistry and Physiology 100C: 283-286, 1991

Effect of 3,4-dichloroaniline and metavanadate on Daphnia populations. N. van der Hoeven, Ecotoxicology and Environmental Safety 20: 53-70, 1990

Salmonella test: Relation between mutagenicity and number of revertant colonies. N. van der Hoeven, S.A.L.M. Kooijman & W.K. de Raat, Mutation Research 234: 289-302, 1990

Superparasitism as an ESS: to reject or not to reject, that is the question. N. van der Hoeven & L. Hemerik, J. of Theoretical Biology 146: 467-482, 1990

Population consequences of a physiological model for individual development S.A.L.M. Kooijman, N. van der Hoeven & D.C. van der Werf, Functional Ecology 3: 325-336, 1989

Oscillations in Daphnia populations. N. van der Hoeven, A.M. de Roos & S.A.L.M. Kooijman, Econieuws 2, 7-8, 1989

The population dynamics of Daphnia at constant food supply: a review, re-evaluation and analysis of experimental series from the literature. N. van der Hoeven, Netherlands Journal of Zoology 39: 126-155, 1989

Random elements in a population model based on individual development. N. van der Hoeven, in: Ecodynamics, Proc. Int. Workshop at Jülich, FRG, 19-20 Oct. 1987. Eds. W. Wolff, C.J. Soeder & F.R. Drepper, pp 333-342, Research Notes in Physics, Springer Verlag., 1988

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LC50 estimates and their confidence intervals derived for tests with only one concentration with partial effect.

Nelly van der Hoeven

TNO Institute of Environmental Sciences, P.O. Box 6011, 2600 JA Delft, Schoemakerstraat 97, Delft, The Netherlands.

Nelly van der Hoeven, ECOSTAT, Vondellaan 23, 2332 AA Leiden, The Netherlands tel.: (+)31-(0)71-5315011; fax: (+)31-(0)842-116988; email: linknaarmail("nl","dH","Nv","ecostat") NvdH @ ecostat.nl This e-mail adress can only be seen using javascript!

Summary

keywords: LC50 estimates; confidence intervals; ecotoxicity

Water Research 25: 401-408, 1991

var tt= '<a href="' + pagnaam + '-nl.php">' document.write(tt) <a href=intro-nl.php> Abstract sluiten

Een selectie uit de publikaties van Nelly van der Hoeven

Is it safe to pool the Blank Control Data with the Solvent Control data? N. van der Hoeven, Ecotoxicol. Environm. Safety, 73:1480-1483, 2010

Exposure analysis of bisphenol A in surface water systems in North America and Europe. (PMID:19746705) G.M. Klecka, C.A. Staples, K.E. Clark, N. van der Hoeven, D.E. Thomas & S.G. Hentges Environmental Science & Technology, 43: 6145-6150, 2009

The Minimum Significant Difference at the NOEC calculated with a non-parametric test. Hoeven, N. van der, In: Proceedings of the 30th Anniversary Meeting of the Netherlands Society of Toxicology, june 2009. p. 122

Calculation of the Minimum Significant Difference at the NOEC using a non-parametric test. Hoeven, N. van der, Ecotoxicol. Environm. Safety, 70: 61-66, 2008

Does bisphenol A induce superfeminization in Marisa cornuarietis? Part II: Toxicity test results and requirements for statistical power analyses. Forbes, V.E., J. Aufderheide, R. Warbritton, N. van der Hoeven & N. Caspers Ecotoxicol. Environm. Safety, 66: 319-325, 2007

Statistical issues in fish life-cycle tests with many endpoints. Hoeven, N. van der & D.R. Dietrich, Abstract and poster for SETAC Europe, May 2005, Lille

The probability to select the correct model using likelihood-ratio based criteria in choosing between two nested models of which the more extended one is true. Hoeven, N. van der, Journal of Statistical Planning and Inference, 135: 477-486, 2005

The Netherlands working group on Statistics and Ecotoxicology: Statistics and Models for Risk Assessment. Hoeven, N. van der, In: Proceedings of the Jubilee Annual Meeting of the Netherlands Society of Toxicology, june 2004. p. 114

Current issues in statistics and models for Ecotoxicological Risk Assessment. Hoeven, N. van der, Acta Biotheoretica 52: 201-217, 2004

Balancing statistics and ecology: on the lumping of experimental data for model selection. Hoeven, N. van der, L. Hemerik & P.A. Jansen. In: T.A.C. Reydon & L. Hemerik (Eds): Current themes in Theoretical Biology: A Dutch Perspective. pp 233-265. Springer, Dordrecht, The Netherlands, 2004.

Using marine bioassays to classify the toxicity of Dutch harbour sediments. Stronkhorst, J., C. Schipper, J. Brils, M. Dubbeldam, J. Postma & N. van der Hoeven Environmental Toxicology and Chemistry, 22: 1535-1547, 2003

What can egg distributions of solitary parasitoids tell us about the information the parasitoid has and uses for its oviposition decisions? Hemerik, L.,N. van der Hoeven & J. J.M. van Alphen, Acta Biotheoretica, 50: 167-188, 2002

Statistical tests and power analysis for three in-vivo bioassays to determine the quality of marine sediments. Hoeven, N. van der, B. J. Kater & J. F. Pieters, Environmetrics 13: 281-293, 2002

Significance tables for the exact variance test for the Poisson distribution with alternative underdispersion. N. van der Hoeven & L Hemerik, Environmental and Ecological Statistics 9: 201-213, 2002

Estimating the 5-percentile of the species sensitivity distribution without any assumptions about the distribution. N. van der Hoeven, Ecotoxicology 10: 25-34, 2001

Power analysis for the NOEC: What is the probability to detect small toxic effects on three different species using the appropriate standardized test protocols? N. van der Hoeven, Ecotoxicology 7: 355-361, 1998

The acute toxicity of selected alkylphenols on young and adult Daphnia magna. A.A.M. Gerritsen, N. van der Hoeven & A. Pielaat, Ecotoxicol. Environm. Safety 39: 227-232. 1998

The ecotoxicity and the biodegradability of lactic acid, alkyl lactate esters and lactic acid salts. C.T. Bowmer, R.N. Hooftman, A.O. Hanstveit, P.W.M. Venderbosch & N. van der Hoeven, Chemosphere 37: 1317-1333, 1998

How to measure no effect? Part I: Towards a new measure of chronic toxicity in ecotoxicology. Introduction and workshop results. N. van der Hoeven, F. Noppert & A. Leopold, Environmetrics 8: 241-248, 1997

How to measure no effect? Part III: Statistical aspects of NOEC, ECx and NEC estimates. N. van der Hoeven, Environmetrics 8: 255-261, 1997

The effect of chlorpyrifos on individuals of Daphnia pulex in laboratory and field. N. van der Hoeven & A.A.M. Gerritsen, Environm. Toxicol. Chem. 16: 2438-2447, 1997

A model based on soil structural aspects describing the fate of genetically modified bacteria in soil. N. van der Hoeven & J.D. van Elsas, Ecological Modelling 89: 161-173, 1996

Competition between cohorts of juvenile Daphnia magna. E.L. Enserink, N. van der Hoeven, M. Smith, M. van der Klis & M.A. van der Gaag, Archiv für Hydrobiologie 136: 433-454, 1996

Reliability of quantitative toxicity test results: from experimental control to data processing. Enserink, E.L. & N. van der Hoeven, The Science of the Total Environment, suppl. 1993, Proceedings of the Second European Conference on Ecotoxicology, eds. W. Slooff & H. de Kruijf, p. 699-704, 1993

LC50 estimates and their confidence intervals. The case that only one test concentration has partial effect. N. van der Hoeven, Water Research 25: 401-408, 1991

Effects of toxicants on individuals and populations of Daphnia, a simulation study. N. van der Hoeven, Comparative Biochemistry and Physiology 100C: 283-286, 1991

Effect of 3,4-dichloroaniline and metavanadate on Daphnia populations. N. van der Hoeven, Ecotoxicology and Environmental Safety 20: 53-70, 1990

Salmonella test: Relation between mutagenicity and number of revertant colonies. N. van der Hoeven, S.A.L.M. Kooijman & W.K. de Raat, Mutation Research 234: 289-302, 1990

Superparasitism as an ESS: to reject or not to reject, that is the question. N. van der Hoeven & L. Hemerik, J. of Theoretical Biology 146: 467-482, 1990

Population consequences of a physiological model for individual development S.A.L.M. Kooijman, N. van der Hoeven & D.C. van der Werf, Functional Ecology 3: 325-336, 1989

Oscillations in Daphnia populations. N. van der Hoeven, A.M. de Roos & S.A.L.M. Kooijman, Econieuws 2, 7-8, 1989

The population dynamics of Daphnia at constant food supply: a review, re-evaluation and analysis of experimental series from the literature. N. van der Hoeven, Netherlands Journal of Zoology 39: 126-155, 1989

Random elements in a population model based on individual development. N. van der Hoeven, in: Ecodynamics, Proc. Int. Workshop at Jülich, FRG, 19-20 Oct. 1987. Eds. W. Wolff, C.J. Soeder & F.R. Drepper, pp 333-342, Research Notes in Physics, Springer Verlag., 1988

statistische data-analyse

planning van biologisch onderzoek

wiskundige modelvorming

statistische modellen en methoden

biologische literatuur studies

cursus statistiek op maat

LC₅₀ estimates and their confidence intervals derived for tests with only one concentration with partial effect.

Nelly van der Hoeven,
ECOSTAT,
Vondellaan 23,
2332 AA Leiden,
The Netherlands
tel.: (+)31-(0)71-5315011; fax: (+)31-(0)842-116988;
email: NvdH @ ecostat.nl

keywords: LC₅₀ estimates; confidence intervals; ecotoxicity

Abstract sluiten