iwcombinpmatr | R Documentation |

Compute the item-weighted Combined input matrix of a data set as defined by Albano and Plaia (2021)

```
iwcombinpmatr(X, w, Wk = NULL)
```

`X` |
A data matrix N by M, in which there are N judges and M objects to be judged. Each row is a ranking of the objects which are represented by the columns. Alternatively X can contain the rankings observed only once. In this case the argument Wk must be used |

`w` |
A M-dimensional row vector (individually weighted items), or a M by M matrix (item similarities) |

`Wk` |
Optional: the frequency of each ranking in the data |

The M by M item-weighted combined input matrix

Alessandro Albano alessandro.albano@unipa.it

Antonella Plaia antonella.plaia@unipa.it

Emond, E. J., and Mason, D. W. (2002). A new rank correlation coefficient with application to the consensus ranking problem. Journal of Multi-Criteria Decision Analysis, 11(1), 17-28.

Albano, A. and Plaia, A. (2021). Element weighted Kemeny distance for ranking data. Electronic Journal of Applied Statistical Analysis, doi: 10.1285/i20705948v14n1p117

`tabulaterows`

frequency distribution of a ranking data.

`combinpmatr`

combined input matrix of a ranking data set.

```
data(sports)
np <- dim(sports)[2]
P <- matrix(NA,nrow=np,ncol=np)
P[1,] <- c(0,5,5,10,10,10,10)
P[2,] <- c(5,0,5,10,10,10,10)
P[3,] <- c(5,5,0,10,10,10,10)
P[4,] <- c(10,10,10,0,5,5,5)
P[5,] <- c(10,10,10,5,0,5,5)
P[6,] <- c(10,10,10,5,5,0,5)
P[7,] <- c(10,10,10,5,5,5,0)
CIW <- iwcombinpmatr(sports,w=P)
```

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