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. Author manuscript; available in PMC: 2015 Jul 10.
Published in final edited form as: J Stat Mech. 2014 May 16;2014(5):P05007. doi: 10.1088/1742-5468/2014/05/P05007

Figure 3.

Figure 3

The size n, as a function of the average degree μ, above which a naive χ2 test commits a type I error with 95% confidence. Type I error means incorrectly rejecting the ordinary stochastic block model for graphs that are actually generated by it. Here we assume the asymptotic analysis of (14)–(17) for the mean and variance of the likelihood ratio.