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Fish Toxicity Studies                                                       677


                       randomly assigned, including a control (and solvent or reference, if applicable) treatment, with repli-
                       cations at each treatment level. Observations are made for each treatment for each effect criterion and
                       are assumed to be independent. The assumptions of ANOVA (i.e., equal variances among treatments
                       and normally distributed data) must be met. Transformations of quantal data, proportions (e.g., percent-
                       age larvae deformed), or other response expressions are sometimes necessary to meet the requirements
                       of homogeneity of variance and normality. If the ANOVA results lead to rejection of the null hypothesis
                       (H   = no difference between treatment means), the treatment (i.e., exposure concentration) had a
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                       significant influence on mean response (i.e., biological endpoints measured), but we do not know which
                       means were significantly different. A series of post-ANOVA methods can be used to identify which
                       treatment concentrations differ from each other. When data or transformations of data violate assump-
                       tions of ANOVA, statistical power may be sacrificed by using nonparametric, post-ANOVA tests. For
                       a complete review of statistical procedures used for analyses of chronic, sublethal  effects data, see
                       Newman (1995).
                        At the end of a chronic test, the LOEC and NOEC are determined for each endpoint measured. In
                       addition, the maximum acceptable toxicant concentration (MATC) is estimated for the endpoint with
                       the lowest NOEC and LOEC. The MATC is the threshold concentration of a chemical within a range
                       bounded by the NOEC and LOEC. For regulatory purposes, it is calculated as the geometric mean of
                       the LOEC and NOEC. The MATC has no statistical confidence interval because the LOEC and NOEC
                       are used to define it. The MATC should not be extrapolated to predict a safe concentration because it
                       is a reflection of test design, species, and exposure duration; however, a range of MATCs from chronic
                       tests with different fish species will provide more supportive data to extrapolate to biologically safe
                       concentrations, especially when natural waters are used for chronic exposures.
                        The MATC can also be used to generate application factors (AFs) for chemicals. The AF is derived
                       as the numerical value of the ratio of the MATC to the LC . The assumption is made that the AF for
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                       a given chemical is constant over a range of test species; therefore, if an AF is derived for one species
                       with actual MATC and LC  data, then the MATC could be derived for a second species. The AF for
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                       the first species and the LC  for the second species could be used to estimate the MATC for the second
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                       species. The use of arbitrary application factors with LC  values to predict chronic toxicity and safe
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                       concentrations must be approached with care. The acute-to-chronic toxicity ratio (ACR) is a variant of
                       the AF and is the inverse of the AF and is also used to estimate an MATC for species when only acute
                       toxicity data are available.


                       Short-Term Sublethal Effects

                       In the development of test procedures to evaluate the toxicity of whole effluents (e.g., municipal or
                       industrial wastewaters) to aquatic organisms, the U.S. EPA developed short-term sublethal tests (i.e., 7
                       to 9 days or less; often misleadingly called short-term chronic tests) that focus on the most sensitive
                       life-cycle stages. See Dorn and van Compernolle (1995) for a summary of short-term toxicity tests for
                       whole effluents with fish. Fish are exposed to five different effluent dilutions (e.g., 100, 50, 25, 12.5,
                       and 6.25%), including untreated controls, with replication to determine magnitude of toxicity; however,
                       in compliance monitoring (i.e., in discharge permits) an option is to choose five concentrations that
                       bracket the receiving water concentration (above and below). This monitoring would determine compli-
                       ance status (i.e., meets or exceeds permit requirements) as well as estimate the NOEC.
                        In short-term sublethal tests, the LC , EC , NOEC, and LOEC are reported based on percent effluent
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                       to which organisms are exposed. Effects may include changes in growth, survival, or percent hatch, for
                       example. To overcome some of the problems in statistically deriving the NOEC and LOEC, the inhibition
                       concentration (IC) may be used which is a point estimate interpolated from the effluent concentrations
                       at which measured effects occurred in the sublethal test. The IC is an estimate of the effluent concentration
                       (i.e., percent effluent) that would cause a given percent reduction in a biological endpoint of the test
                       organism. An IC  for growth, for example, would represent the percent effluent at which a 10% reduction
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                       in growth occurred. This approach is similar to determining the LC  or EC  when organisms are exposed
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                       to a single chemical. Because the IC is a point estimate, a confidence interval can be calculated.
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