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In this article, the authors examine common practices of reporting statistically nonsignificant findings in criminal justice evaluation studies. They find that criminal justice evaluators often make formal errors in the reporting of statistically nonsignificant results. Instead of simply concluding that the results were not statistically significant, or that there is not enough evidence to support an effect of treatment, they often mistakenly accept the null hypothesis and state that the intervention had no impact or did not work. The authors propose that researchers define a second null hypothesis that sets a minimal threshold for program effectiveness. In an illustration of this approach, they find that more than half of the studies that had no statistically significant finding for a traditional, no difference null hypothesis evidenced a statistically significant result in the case of a minimal worthwhile treatment effect null hypothesis.
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Weisburd et al. (2003) studied this question.
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