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NOAELs were estimated using multiple contrast tests (Hothorn 2004).

Among others, Hothorn et al. [ 9] proposed parametric simultaneous confidence intervals, which correspond to multiple contrast tests.

To keep the overall coverage probability or the multiple type-I error rate, simultaneous confidence intervals and multiple contrast tests are considered.

Konietschke et al. [ 10] proposed nonparametric multiple contrast tests and simultaneous confidence intervals for adequate correction of the type-I error, which take the dependencies within the data into account.

Furthermore multiple contrast tests and corresponding simultaneous confidence intervals (with or without Logit transformation) are derived, and the Wild Bootstrap approach is presented (in particular for small sample sizes).

Statistical analyses were always adjusted for litter effects by using litter as an independent, random, and nested factor; statistical significance was then assessed on the basis of multiple contrast tests (for additional details, see Hass et al. 2007).

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Similar(51)

In addition, a multiple contrast test and related simultaneous confidence intervals for the relative marginal effects are derived and compared to rank-based Wald-type and ANOVA-type statistics.

Simulations show that the ANOVA-type statistic and the multiple contrast test appear to maintain the pre-assigned level of the test quite accurately (even for rather small sample sizes) while the Wald-type statistic leads, as expected, to somewhat liberal decisions.

Application of hypothesis testing procedures (nonparametric multiple contrast test) allowed us to estimate LOECs (Table 2), and these were 4.0 × 10−4 nM, 0.55 nM, and 410 nM for estriol, coumesterol, and β-endosulfan, respectively.

In order to use the correlation in the selection approach, it is our idea to apply the multiple contrast test principle (denoted by MCP), which uses the correlation among different test statistics.

Therefore, in a second step, we compared these approaches (again for the standard scenario) using the multiple contrast test ('MCP'), the simultaneous Logit ('Logit') and the Wild Bootstrap ('WB-Normal') approach.

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