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In addition, a more stringent statistical threshold (P < 0.01) revealed 35 genes (∼3%) that were differentially expressed across the time course.
We start from the observation that if we consider progressively smaller values of the statistical threshold (p^), the set (mathcal{M}(p^)) will shrink and contain only pairs of articles characterised by an overlap between bibliographies that is highly significant, since it has passed a more stringent statistical test.
This apparent power-law scaling does not constitute a proof of self-organized criticality, which should be demonstrated by more stringent statistical tests.
Indeed, low FDR provide more stringent statistical filter while they reduce the number and thus the enrichment of genes differentially expressed.
Using more stringent statistical criteria (t-tests p-value<0.05 with FDR correction, TNoM score = 0 and fold-change of expression >2, see "Materials and Methods" for details) we identified 103 genes whose expression significantly changed following ventilation in wild-type and/or in jnk1−/− mice.
(That is, these studies were largely exploratory, requiring larger samples and more stringent statistical control).
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In some instances, a more stringent use of statistical testing would be useful.
In the more stringent two-level statistical test, Aurora A expression alone was a significant predictor of the glioma grade.
Analyses comparing ratings of each ad by weight status used a more stringent level of statistical significance (P < 0.01) to account for multiple testing.
The analysis, and decision to stop the trial, were consistent with the α spending function approach to interim data analysis in which a more stringent criterion for statistical significance is used, in this case P < 0.004 (25).
However, the results of the p-values also suggest that more stringent criteria to assess statistical significance would suggest no statistical difference according to usual source of care.
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