Fig. 4: Properties and convergence of the RSS distribution derived analytically under the static null hypothesis. | Nature Communications

Fig. 4: Properties and convergence of the RSS distribution derived analytically under the static null hypothesis.

From: A mathematical perspective on edge-centric brain functional connectivity

Fig. 4: Properties and convergence of the RSS distribution derived analytically under the static null hypothesis.The alternative text for this image may have been generated using AI.

a The empirical RSS distribution increasingly approximates the null RSS distribution as more realisations (frames) are observed. On the horizontal axis, the cumulative distribution function (CDF) of the null RSS is evaluated for each empirical RSS observation; the CDF of the resulting distribution is plotted on the vertical axis. Identical distributions would produce points on the diagonal (dotted line). b The nFC eigenvalues shape the null RSS distribution. The null RSS distribution increasingly approximates the empirical RSS distribution as more eigenvalues are considered, with the largest eigenvalues explaining most of the variance. On the horizontal axis, the cumulative distribution function (CDF) of the empirical RSS is evaluated for each null RSS observation; the CDF of the resulting distribution is then plotted on the vertical axis. Identical distributions would produce points on the diagonal (dotted line).

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