Barely Significant
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Assessing community variation and randomness in public health indicators.

Popul Health Metr · 2011 · PMC3045330 · PMID 21288354

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may be significantno p-value reported
When there are many communities and large sample sizes, trivial heterogeneity may be significant.

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Quoted from the open-access full text in Europe PMC under the licence the publisher applied. The sentence is reproduced exactly as published; the emphasis is ours.