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Table 6 Parameter estimates with 95% confidence interval for the Alon E. coli regulatory network

From: Testing biological network motif significance with exponential random graph models

Effect

Model 1

Model 2

Model 3

Model 4

Arc

\(\mathbf {\underset{(-8.368, -8.047)}{-8.208}}\)

\(\mathbf {\underset{(-7.830, -7.509)}{-7.670}}\)

\(\mathbf {\underset{(-5.535, -5.149)}{-5.342}}\)

\(\mathbf {\underset{(-8.664, -8.337)}{-8.500}}\)

Sink

\(\underset{(-0.240, 6.830)}{3.295}\)

\(\mathbf {\underset{(0.306, 5.448)}{2.877}}\)

\(\underset{(-5.584, 4.330)}{-0.627}\)

\(\underset{(-1.512, 9.662)}{4.075}\)

Source

\(\underset{(-1.770, 4.247)}{1.238}\)

\(\underset{(-1.063, 4.156)}{1.546}\)

\(\underset{(-3.084, 5.195)}{1.056}\)

\(\underset{(-1.683, 6.551)}{2.434}\)

AltInStars

\(\mathbf {\underset{(0.943, 4.232)}{2.587}}\)

\(\mathbf {\underset{(0.555, 4.044)}{2.299}}\)

\(\underset{(-0.163, 3.392)}{1.614}\)

\(\mathbf {\underset{(0.630, 4.798)}{2.714}}\)

AltOutStars

\(\underset{(-2.363, 0.362)}{-1.001}\)

\(\underset{(-1.885, 0.189)}{-0.848}\)

\(\underset{(-3.987, 1.717)}{-1.135}\)

\(\underset{(-2.300, 1.266)}{-0.517}\)

AltTwoPathsT

\(\underset{(-0.638, 0.297)}{-0.170}\)

\(\underset{(-0.603, 0.272)}{-0.165}\)

\(\underset{(-1.376, 0.192)}{-0.592}\)

\(\underset{(-0.767, 0.267)}{-0.250}\)

AltKTrianglesT

\(\mathbf {\underset{(0.798, 4.972)}{2.885}}\)

\(\mathbf {\underset{(1.025, 4.636)}{2.830}}\)

\(\mathbf {\underset{(0.722, 5.555)}{3.139}}\)

\(\mathbf {\underset{(0.548, 5.604)}{3.076}}\)

Matching self

–

\(\underset{(-1.181, 0.280)}{-0.451}\)

–

–

Loop

–

–

–

\(\mathbf {\underset{(1.949, 14.256)}{8.103}}\)

  1. Parameter estimates that are statistically significant are shown in bold. In Models 3 and 4, self-edges (loops) are retained in the network and allowed in the model