From quantal counts to mechanisms and systems: The past, present, and future of biometrics in environmental toxicology

Biometrics

Volumn 56, Issue 2, 2000, Pages 327-336

  Bailer, A John ^a   Piegorsch, Walter W ^b  

^a MIAMI UNIVERSITY   (United States)

^b UNIVERSITY OF SOUTH CAROLINA   (United States)

Author keywords

Aquatic toxicology; Concentration response modeling; Dose response modeling; Ecotoxicology; Environmental carcinogenesis; Environmental health; Environmental statistics; Environmetrics; Interdisciplinary collaboration; NOEC; NOEL; Potency estimation; Quantitative risk assessment; Response inhibition; Risk analysis; Stochastic modeling; Trend tests

Indexed keywords

HEALTH RISKS; MAMMALS; RISK ASSESSMENT; RISK PERCEPTION; STATISTICAL MECHANICS; STATISTICS; STOCHASTIC SYSTEMS;

AQUATIC TOXICOLOGY; CARCINOGENESES; CONCENTRATION-RESPONSE MODELING; DOSE-RESPONSE MODELS; ECO-TOXICOLOGY; ENVIRONMENTAL CARCINOGENESIS; ENVIRONMENTAL HEALTH; ENVIRONMENTAL STATISTICS; ENVIRONMETRICS; INTERDISCIPLINARY COLLABORATIONS; NOEC; NOEL; POTENCY ESTIMATION; QUANTITATIVE RISK ASSESSMENT; RESPONSE INHIBITION; RESPONSE MODEL; STOCHASTIC-MODELING; TREND TESTS;

RISK ANALYSIS;

BIOMETRY; TOXICOLOGY;

BIOMETRY; CARCINOGENICITY; ECOTOXICOLOGY; REVIEW; RISK ASSESSMENT; STATISTICAL ANALYSIS; STOCHASTIC MODEL;

EID: 0033946571     PISSN: 0006341X     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.0006-341X.2000.00327.x     Document Type: Review

References (75)

1. Ahn, H. and Kodell, R. L. (1998). Analysis of long-term carcinogenicity studies. In Design and Analysis of Animal Studies in Pharmaceutical Development, S.-C. Chow and J.-P. Liu (eds), 259-289. New York: Marcel Dekker.
2. Armitage, P. (1955). Tests for linear trends in proportions and frequencies. Biometrics 11, 375-386.
3. Bailer, A. J. and Dankovic, D. A. (1997). An introduction to the use of physiologically based pharmacokinetic models in risk assessment. Statistical Methods in Medical Research 6, 341-358.
4. Bailer, A. J. and Oris, J. (1993). Modeling reproductive toxicity in Ceriodaphnia tests. Environmental Toxicology and Chemistry 12, 787-791.
5. Bailer, A. J. and Oris, J. T. (1994). Assessing the toxicity of pollutants for aquatic systems. In Case Studies in Biometry, N. Lange, L. Ryan, L. Billard, D. Brillinger, L. Conquest, and J. Greenhouse (eds), 25-40. New York: Wiley.
6. Bailer, A. J. and Oris, J. T. (1997). Estimating inhibition concentrations for different response scales using generalized linear models. Environmental Toxicology and Chemistry 16, 1554-1559.
7. Bailer, A. J. and Oris, J. T. (2000). Defining the baseline for inhibition concentration calculations for hormetic hazards. Journal of Applied Toxicology 20, 121-125.
8. Bailer, A. J. and Portier, C. J. (1988). Effects of treatmentinduced mortality and tumor-induced mortality on tests for carcinogenicity in small samples. Biometrics 44, 417-431.
9. Bailer, A. J. and See, K. (1998). Individual-based risk estimation for count responses. Environmental Toxicology and Chemistry 17, 530-533.
10. Bartell, S. M., Gardner, R. H., and O'Neill, R. V. (1992). Ecological Risk Estimation. Chelsea, Michigan: Lewis.
11. Bieler, G. S. and Williams, R. L. (1993). Ratio estimates, the delta method, and quantal response tests for increased carcinogenicity. Biometrics 49, 793-801.
12. Chernick, M. R. (1999). Bootstrap Methods: A Practitioner's Guide. New York: Wiley.
13. 2 tests. Biometrics 10, 417-451.
14. Collings, B. J., Margolin, B. H., and Oehlert, G. W. (1981). Analyses for binomial data, with applications to the fluctuation test for mutagenicity. Biometrics 37, 775-794.
15. Cox, D. R. (1958). The regression analysis of binary sequences (with discussion). Journal of the Royal Statistical Society, Series B 20, 215-242.
16. Cox, D. R. (1972). Regression models and life tables. Journal of the Royal Statistical Society, Series B 34, 187-220.
17. Crump, K. S. (1984). A new method for determining allowable daily intake. Fundamental and Applied Toxicology 4, 854-871.
18. Crump, K. S. (1995). Calculation of benchmark doses from continuous data. Risk Analysis 15, 79-89.
19. Davison, A. C. and Hinkley, D. V. (1997). Bootstrap Methods and Their Application. New York: Cambridge University Press.
20. Dinse, G. E. (1985). Testing for a trend in tumor prevalence rates: I. Nonlethal tumors. Biometrics 41, 751-779.
21. Dinse, G. E. (1988). Simple parametric analysis of animal tumorigenicity data. Journal of the American Statistical Association 83, 638-649.
22. Dinse, G. E. (1993). Evaluating constraints that allow survival-adjusted incidence analysis in single-sacrifice studies. Biometrics 49, 399-407.
23. Dinse, G. E. (1996). Statistical analysis of long-term animal cancer studies. In Toxicology and Risk Assessment. Principles, Methods, and Applications, A. M. Fan and L. W. Chang (eds), 483-502. New York: Marcel Dekker.
24. Dinse, G. E. and Lagakos, S. W. (1983). Regression analysis of tumour prevalence data. Applied Statistics 32, 236-248.
25. Dunson, D. B. and Haseman, J. K. (1999). Modeling tumor onset and multiplicity using transition models with latent variables. Biometrics 55, 965-970.
26. Eastwood, B. J. (1993). Semi-parametric estimates of dose-response mutagenic potency of environmental chemicals and an assessment of inter- and intra-laboratory variation using a short-term bioassay. Canadian Journal of Statistics 21, 436-448.
27. Erickson, W. P. and McDonald, L. L. (1995). Tests for bioequivalence of control media and test media in studies of toxicity. Environmental Toxicology and Chemistry 14, 1247-1258.
28. Finkelstein, D. M. (1986). A proportional hazards model for interval-censored failure time data. Biometrics 42, 845-854.
29. Fung, K. Y., Krewski, D., and Smythe, R. T. (1996). A comparison of tests for trend with historical controls in carcinogen bioassay. The Canadian Journal of Statistics 24, 431-454.
30. Gart, J. J., Chu, K. C., and Tarone, R. E. (1979). Statistical issues in interpretation of chronic bioassay tests for carcinogenicity. Journal of the National Cancer Institute 62, 957-974.
31. Gart, J. J., Krewski, D., Lee, P. N., Tarone, R. E., and Wahrendorf, J. (1987). Statistical Methods in Cancer Research. III. The Design and Analysis of Long-Term Animal Experiments. Lyon, France: IARC Scientific Publications.
32. Givens, G. H., Smith, D. D., and Tweedie, R. L. (1997). Publication bias in meta-analysis: A Bayesian data-augmentation approach to account for issues exemplified in the passive smoking debate (with discussion). Statistical Science 12, 221-250.
33. Haseman, J. K. (1984). Statistical issues in the design, analysis and interpretation of animal carcinogenicity studies. Environmental Health Perspectives 58, 385-392.
34. Hoel, D. G. and Walburg, H. E., Jr. (1972). Statistical analysis of survival experiments. Journal of the National Cancer Institute 49, 361-372.
35. Ibrahim, J. G., Ryan, L. M., and Chen, M.-H. (1998). Using historical controls to adjust for covariates in trend tests for binary data. Journal of the American Statistical Association 93, 1282-1293.
36. Kodell, R. L. and Ahn, H. (1997). An age-adjusted trend test for the tumor incidence rate for multiple-sacrifice experiments. Biometrics 53, 1467-1474.
37. Kodell, R. L., Pearce, B. A., Turturro, A., and Ahn, H. (1997). An age-adjusted trend test for the tumor incidence rate for single-sacrifice experiments. Drug Information Journal 31, 471-487.
38. Lambert, D. (1992). Zero-inflated Poisson regression, with an application to defects in manufacturing. Technometrics 34, 1-4.
39. Lambert, D., Peterson, B., and Terpenning, I. (1991). Nondetects, detection limits, and the probability of detection. Journal of the American Statistical Association 86, 266-277.
40. Lindsey, J. C. and Ryan, L. M. (1994). A comparison of continuous- and discrete-time three-state models for rodent tumorigenicity experiments. Environmental Health Perspectives 102(Suppl. 1), 9-17.
41. Luebeck, E. G. and Moolgavkar, S. H. (1996). Biologically based cancer modeling. In Toxicology and Risk Assessment. Principles, Methods, and Applications, A. M. Fan and L. W. Chang (eds), 533-555. New York: Marcel Dekker.
42. Marcus, A. H. and Holtzman, A. P. (1988). A robust statistical method for estimating effects concentrations in short-term fathead minnow toxicity tests. Technical Report, Contract 69-03-3534, prepared for U.S. Environmental Protection Agency's Office of Water, Washington, D.C.
43. McKnight, B. and Wahrendorf, J. (1992). Tumour incidence rate alternatives and the cause-of-death test for carcinogenicity. Biometrika 79, 131-138.
44. McKusick, V. A. (1989). Mapping and sequencing the human genome. New England Journal of Medicine 320, 910-915.
45. Moolgavkar, S. H. (1991). Stochastic models of carcinogenesis. In Handbook of Statistics, Volume 8, Statistical Methods in Biological and Medical Sciences, C. R. Rao and R. Chakraborty (eds), 373-393. Amsterdam: North-Holland.
46. National Academy of Sciences. (1983). Risk Assessment in the Federal Government: Managing the Process. Washington, D.C.: National Academy Press.
47. Newman, M. C. (1998). Fundamentals of Ecotoxicology. Chelsea, Michigan: Ann Arbor Press.
48. Norberg-King, T. (1993). A linear interpolation method for sublethal toxicity: The inhibition concentration (ICp) approach. National Effluent Toxicity Assessment Center Technical Report 03-93. U.S. Environmental Protection Agency, Duluth, Minnesota.
49. Oris, J. and Bailer, A. J. (1993). Statistical analysis of the Ceriodaphnia toxicity test: Sample size determination for reproductive effects. Environmental Toxicology and Chemistry 12, 85-90.
50. Oris, J. T., Winner, R. W., and Moore, M. V. (1991). A four-day Ceriodaphnia survival and reproduction toxicity test. Environmental Toxicology and Chemistry 10, 217-224.
51. Peto, R., Pike, M., Day, N., Gray, R., Lee, P., Parish, S., Peto, J., Pichards, S., and Wahrendorf, J. (1980). Guidelines for simple, sensitive significance tests for carcinogenic effects in long-term animal experiments. IARC Monographs 2(Suppl.), 311-426.
52. 50) -An historical perspective. Toxicology and Industrial Health 5, 55-62.
53. Piegorsch, W. W. and Bailer, A. J. (1997). Statistics for Environmental Biology and Toxicology. Boca Raton, Florida: Chapman and Hall/CRC.
54. Piegorsch, W. W. and Cox, L. H. (1996). Combining environmental information. II: Environmental epidemiology and toxicology. Environmetrics 7, 309-324.
55. Portier, C. J. and Bailer, A. J. (1989). Testing for increased carcinogenicity using a survival-adjusted quantal response test. Fundamental and Applied Toxicology 12, 731-737.
56. Portier, C. J. and Dinse, G. E. (1987). Semiparametric analysis of tumor incidence rates in survival/sacrifice experiments. Biometrics 43, 107-114.
57. Portier, C. J. and Kopp-Schneider, A. (1991). A multistage model of carcinogenesis incorporating DNA damage and repair. Risk Analysis 11, 535-543.
58. Robert, C. and Casella, G. (1999). Monte Carlo Statistical Methods. New York: Springer-Verlag.
59. Robertson, T., Wright, F. T., and Dykstra, R. L. (1988). Order Restricted Statistical Inference. New York: Wiley.
60. Rossini, A. J. and Tsiatis, A. A. (1996). A semiparametric proportional odds regression model for the analysis of current status data. Journal of the American Statistical Association 91, 713-720.
61. See, K. and Bailer, A. J. (1998). Added risk and inverse estimation for count responses in reproductive aquatic toxicology studies. Biometrics 54, 263-269.
62. Shukla, R., Wang, Q., Fulk, F., Deng, C., and Denton, D. (2000). Bioequivalence approach for whole effluent toxicity testing. Environmental Toxicology and Chemistry 19, 169-174.
63. Tan, W.-Y. and Zhang, J. H. (1996). Monte Carlo results for the 3-poly test for animal carcinogenicity experiments. Environmental Health Perspectives 104, 872-877.
64. Tarone, R. E. (1975). Test for trend in life table analysis. Biometrika 62, 679-682.
65. Tarone, R. E. (1986). Correcting tests for trend in proportions for skewness. Communications in Statistics - Theory and Methods 15, 317-328.
66. Tarone, R. E. and Gart, J. J. (1980). On the robustness of combined tests for trends in proportions. Journal of the American Statistical Association 75, 110-116.
67. Urfer, W. and Becka, M. (1996). Exploratory and model-based inference in toxicokinetics. In Statistics in Toxicology, B. J. T. Morgan (ed), 198-216. Oxford: Clarendon.
68. van der Hoeven, N. (1997). How to measure no effect. Part III: Statistical aspects of NOEC, ECx and NEC estimates. Environmetrics 8, 255-261.
69. Wang, S. C. D. and Smith, E. P. (2000). Adjusting for mortality effects in chronic toxicity testing: Mixture model approach. Environmental Toxicology and Chemistry 19, 204-209.
70. Weber, C. I., Peltier, W. H., Norberg-King, T. J., et al. (1989). Short-term methods for estimating the chronic toxicity of effluents and receiving waters to freshwater organisms, 2nd edition. Technical Report EPA/600/4-89/001A. U.S. Environmental Protection Agency, Cincinnati, Ohio.
71. Weir, B. S. (1993). Analysis of DNA sequences. Statistical Methods in Medical Research 2, 225-239.
72. West, R. W. and Kodell, R. L. (1993). Statistical methods of risk assessment for continuous variables. Communications in Statistics - Theory and Methods 22, 3363-3376.
73. Wilson, S. R. (1999). Genes or environment? The difficulties of disentangling these effects in human genetic data analysis. Environmetrics 10, 685-693.
74. Xie, M. and Simpson, D. G. (1999). Regression modeling of ordinal data with nonzero baselines. Biometrics 55, 308-316.
75. Yates, F. (1948). The analysis of contingency tables based on quantitative characters. Biometrika 35, 176-181.