Definitions
from Wiktionary, Creative Commons Attribution/ShareAlike License.
 noun statistics The presence of greater
dispersion in adata set than would be expected according to thestatistical model in use.
Etymologies
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Examples

Moreover, I seem to recall that there might be some overdispersion present, so something like negative binomial marginals might be better.

When the slope is less than one (dashed line in the bottom panel) this shows a bias towards lower phylogenetic overdispersion and phylogenetic clustering.

When the slope is greater than one (dashed line in the top panel) shows a bias towards higher phylogenetic overdispersion and phylogenetic clustering.

Thus negative NRI and NTI values indicate a high level of phylogenetic overdispersion.

Distributions of numbers of contacts are discrete distributions and usually display a high degree of overdispersion with some persons having large numbers and many persons having low numbers of contacts.
PLoS ONE Alerts: New Articles Mirjam Kretzschmar et al. 2009

Median IBS and overdispersion factor (lambda) of the quantilequantile plot for each population pair (a), and values of chisquare test statistic (b) and expected mean IBS (c) for combinations of allele frequencies in two populations.
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