Description Usage Arguments Details Value References Examples

'graph.test' tests whether two sets of graphs were generated by the same random graph model. This bootstrap test is based on the Jensen-Shannon (JS) divergence between graphs.

1 | ```
graph.test(x, y, numBoot = 1000, bandwidth = "Silverman")
``` |

`x` |
a list of adjacency (symmetric) matrices. For unweighted graphs, each matrix contains only 0s and 1s. For weighted graphs, each matrix contains real values that correspond to the weights of the edges. |

`y` |
a list of adjacency (symmetric) matrices. For unweighted graphs, each matrix contains only 0s and 1s. For weighted graphs, each matrix contains real values that correspond to the weights of the edges. |

`numBoot` |
integer indicating the number of bootstrap resamplings. |

`bandwidth` |
string indicating which criterion will be used to choose the bandwidth for the spectral density estimation. The available criteria are "Silverman" (default) and "Sturges". |

Given two lists of graphs, 'x' and 'y', 'graph.test' tests H0: "JS divergence between 'x' and 'y' is 0" against H1: "JS divergence between 'x' and 'y' is larger than 0".

A list containing:

`JS` |
the Jensen-Shannon divergence between 'x' and 'y'. |

`p.value` |
the p-value of the test. |

Takahashi, D. Y., Sato, J. R., Ferreira, C. E. and Fujita A. (2012) Discriminating Different Classes of Biological Networks by Analyzing the Graph Spectra Distribution. _PLoS ONE_, *7*, e49949. doi:10.1371/journal.pone.0049949.

Silverman, B. W. (1986) _Density Estimation_. London: Chapman and Hall.

Sturges, H. A. The Choice of a Class Interval. _J. Am. Statist. Assoc._, *21*, 65-66.

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