Applied Network Science

Table 2 The significance of multiple observables across the enron and stack-overflow data sets

From: Annotated hypergraphs: models and applications

			Non-preserving			Preserving
Data	Feature	Orig. Val	Avg. Val.	z-score		Avg. Val.	z-score
enron	Connected components	1.00	1.00	0.00		1.00	0.00
	Local role MI	0.14	0.03	red15.68		0.06	red9.78
	Local role Entropy	1.24	1.36	blue-12.47		1.34	blue-8.24
	Node role Entropy	0.99	1.33	blue-19.55		0.99	0.00
	Weight. degree entropy	5.87	5.83	red3.00		5.87	-0.39
	Weight. eigenvector entropy	4.02	5.84	blue-154.46		5.88	blue-55.09
	Weight. pagerank entropy	6.36	6.11	red26.47		6.14	red13.74
stack-overflow	Connected components	1168.00	1166.71	0.06		1041.01	red6.49
	Local role MI	0.22	0.23	blue-7.69		0.22	blue-3.88
	Local role Entropy	0.87	0.88	blue-4.73		0.88	blue-6.32
	Node role Entropy	0.05	0.07	blue-19.78		0.05	0.00
	Weight. degree Entropy	13.89	13.81	red14.97		13.84	red8.71
	Weight. eigenvector entropy	7.95	8.19	-0.38		7.28	1.24
	Weight. pagerank entropy	14.28	14.23	red18.13		14.24	red13.88

Significance scores coloured red are two standard deviations larger in the original data than the null model. In contrast, those coloured blue are two standard deviations smaller. The results for all data sets are presented in Fig. 6

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