statGraph is an R package that compiles several statistical methods for graphs (networks). For example, methods for graph parameter estimation, model selection (GIC - Graph Information Criterion), a statistical test to discriminate two or more populations of graphs (GANOVA - Graph Analysis of Variability), correlation between graphs, etc.


  1. Takahashi DY,  Sato JR,  Ferreira CE, Fujita A. Discriminating different classes of biological networks by analyzing the graphs spectra distribution. PLoS ONE. 7: e49949, 2012.
  2. de Siqueira Santos S, Takahashi DY, Sato JR, Ferreira CE, Fujita A. Statistical methods in graphs: parameter estimation, model selection, and test. In: Yongtang Shi, Sueliang Li, Matthias Dehmer (Eds.). Mathematical foundations and applications of graph entropy. Wiley-Blackwell. 6: 183-202, 2016.
  3. Fujita A, Takahashi DY, Balardin JB, Vidal MC, Sato JR. Correlation between graphs with an application to brain network analysis. Computational Statistics & Data Analysis. 109: 76-92, 2017.
  4. Fujita A, Vidal MC, Takahashi DY. A statistical method to distinguish functional brain networks. Frontiers in Neuroscience. 11: 1, 2017.


Slope is a non-parametric and data-driven method for estimating the number of clusters. This approach uses the output of any clustering algorithm. The R function is available at cstab.


  1. Fujita A,  Takahashi DY,  Patriota AG. A non-parametric method to estimate the number of clusters. Computational Statistics and Data Analysis. 73: 27 - 39, 2014.


ANOCVA statistically tests whether two or more populations are equally clustered. ANOCVA allows the comparison of multiple groups simultaneously and identifies features that contribute to the differential clustering.


  1. Fujita A,  Takahashi DY,  Patriota AG,  Sato JR. A non-parametric statistical test to compare clusters with applications in functional magnetic resonance imaging data. Statistics in Medicine. 33: 4949 - 4962, 2014.
  2. Vidal MC, Sato JR, Balardin JB, Takahashi DY, Fujita A. ANOCVA in R: a software to compare clusters between groups and its application to the study of autism spectrum disorder. Frontiers in Neuroscience. 11: 1, 2017.