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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