Extending the Statistical Analysis and Graphical Presentation of Toxicity Test Results Using Standardized Effect Sizes

Abstract

The results of repeat-dose toxicity tests are usually presented as tables of means and standard deviations ( SDs), with an indication of statistical significance for each biomarker. Interpretation is based mainly on the pattern of statistical significance rather than the magnitude of any response. Multiple statistical testing of many biomarkers leads to false-positive results and, with the exception of growth data, few graphical methods for showing the results are available. By converting means and SDs to standardized effect sizes, a range of graphical techniques including dot plots, line plots, box plots, and quantile–quantile plots become available to show the patterns of response. A bootstrap statistical test involving all biomarkers is proposed to compare the magnitudes of the response between treated groups. These methods are proposed as an extension rather than an alternative to current statistical analyses. They can be applied to published work retrospectively, as all that is required is tables of means and SDs. The methods are illustrated using published articles, where the results range from strong positive to completely negative responses to the test substances.