I do see that the authors offer two other reasons to trust their null result: the low Spearman’s rho values and the near-significant correlation with sucrose consumption.
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Stable long-term individual differences in 50-kHz vocalization rate and call subtype prevalence in adult male rats: Comparisons with sucrose preference.
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The sentences
This explains why in our study, the very strong negative correlations observed between trill and non-trill/non-flat categories failed to reach statistical significance ( Table 1 ).