ISI: de Vries' I&SI ranking
In gobbios/radagio: ADAGIO from R

Description Usage Arguments Details Value Author(s) References See Also Examples

de Vries' I&SI ranking

1	ISI(mat, runs = 5000, printmessages = TRUE)

`mat`	square interaction matrix with winner in rows and losers in columns
`runs`	numeric, number of iterations, by default `5000`
`printmessages`	logical, should the number of I and SI be printed (as well as a message if there is more than one solution). By default `TRUE`.

The number of interations is set substantially higher than what was suggested in the de Vries' 1998 paper, because my algorithm here is less efficient.

The I&SI algorithm (c.f. de Vries 1998) does not necessarily result in a unique order (see example below). If such a case occurs, all (equally good) solutions are returned as a list.

a list with the best possible matrix (or matrices if there is more than one best solution)

Christof Neumann

de Vries, H. 1998. Finding a dominance order most consistent with a linear hierarchy: a new procedure and review. Animal Behaviour, 55, 827-843. (DOI: 10.1006/anbe.1997.0708)

ISIranks

## Not run: 
 data(devries98, package = "EloRating")
 hindex(devries98)
 ISI(devries98)

 ##
 data(adv, package = "EloRating")
 SEQ <- elo.seq(winner=adv$winner, loser=adv$loser, Date=adv$Date)
 mat <- creatematrix(SEQ)
 res <- ISI(mat)
 # note that this matrix is not sufficiently linear to justify such ordering
 hindex(mat)
## End(Not run)