# integration_evidence: Evidence of Integration In rinform: An R Wrapper of the 'Inform' C Library for Information Analysis of Complex Systems

## Description

Given a sequence of 'n' observed states of 'l' random variables (`series`), compute the evidence of integration for each partitioning of the 'l' variables, and return the minimum and maximum evidence for each observation. If the number of variables 'l' is large, the user can test a small subset of the partitioning schemata by providing a partitioning `parts` to increase confidence that the system is integrated. In this case, the function computes and returns the evidence of integration for each observation with respect to the partitioning `parts`.

## Usage

 `1` ```integration_evidence(series, parts = NULL) ```

## Arguments

 `series` Matrix specifying two or more time series. `parts` Vector giving a specific partitioning to use.

## Value

A list containing minimum, `min`, and maximum, `max`, values of integration for each observation and logicals indicating if the system is `integrated` or, if `parts` is provided, returns a vector giving the evidence of integration for each observations.

## Examples

 ``` 1 2 3 4 5 6 7 8 9 10 11 12 13 14``` ```# Evidence of Integration of three time series: series <- matrix(0, nrow = 10, ncol = 3) series[, 1] <- c(0, 1, 0, 1, 1, 1, 0, 0, 1, 0) series[, 2] <- c(0, 1, 0, 1, 1, 1, 0, 0, 1, 0) series[, 3] <- c(1, 1, 1, 1, 1, 0, 0, 0, 0, 0) # min = c(-0.322 0.263 -0.322 0.263 0.263 -0.322 0.263 0.263 -0.322 0.263) # max = c( 1.000 1.263 1.000 1.263 1.263 1.000 1.263 1.263 1.000 1.263) # integrated = c( FALSE TRUE FALSE TRUE TRUE FALSE TRUE TRUE FALSE TRUE) integration_evidence(series) # Evidence of Integration of three time series for the partitionning c(1, 1, 2) parts <- c(1, 1, 2) # -0.322 0.263 -0.322 0.263 0.263 -0.322 0.263 0.263 -0.322 0.263 integration_evidence(series, parts) ```

rinform documentation built on April 1, 2018, 12:12 p.m.