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

Detects the underlying structure of a three-way array according to the Tucker3 (T3) model.

1 2 |

`data` |
Array of order |

`laba` |
Optional vector of length |

`labb` |
Optional vector of length |

`labc` |
Optional vector of length |

A list including the following components:

`A` |
Component matrix for the |

`B` |
Component matrix for the |

`C` |
Component matrix for the |

`core` |
Matricized core array (frontal slices) |

`fit` |
Fit value expressed as a percentage |

`fitValues` |
Fit values expressed as a percentage upon convergence for all the runs of the CP algorithm (see |

`funcValues` |
Function values upon convergence for all the runs of the CP algorithm (see |

`cputime` |
Computation times for all the runs of the CP algorithm (see |

`iter` |
Numbers of iterations upon convergence for all the runs of the CP algorithm (see |

`fitA` |
Fit contributions for the |

`fitB` |
Fit contributions for the |

`fitC` |
Fit contributions for the |

`fitAB` |
Fit contributions for the |

`fitAC` |
Fit contributions for the |

`fitBC` |
Fit contributions for the |

`Bint` |
Bootstrap percentile interval of every element of |

`Cint` |
Bootstrap percentile interval of every element of |

`Kint` |
Bootstrap percentile interval of every element of |

`fpint` |
Bootstrap percentile interval for the goodness of fit index expressed as a percentage (see |

`Afull` |
Component matrix for the |

`As1` |
Component matrix for the |

`As2` |
Component matrix for the |

`Bfull` |
Component matrix for the |

`Bs1` |
Component matrix for the |

`Bs2` |
Component matrix for the |

`Cfull` |
Component matrix for the |

`Cs1` |
Component matrix for the |

`Cs2` |
Component matrix for the |

`Kfull` |
Matricized core array (frontal slices) (full data) from split-half analysis (see |

`Ks1` |
Matricized core array (frontal slices) (split n.1) from split-half analysis (see |

`Ks2` |
Matricized core array (frontal slices) (split n.2) from split-half analysis (see |

`Kss1` |
Matricized core array (frontal slices) (using full data solutions for A,B and C for split n.1) from split-half analysis (see |

`Kss2` |
Matricized core array (frontal slices) (using full data solutions for A,B and C for split n.2) from split-half analysis (see |

`Aplot` |
Coordinates for plots of the |

`Bplot` |
Coordinates for plots of the |

`Cplot` |
Coordinates for plots of the |

`CBplot` |
Coordinates for plots of the |

`ACplot` |
Coordinates for plots of the |

`BAplot` |
Coordinates for plots of the |

`A1` |
Component matrix for the |

`B1` |
Component matrix for the |

`C1` |
Component matrix for the |

`A2` |
Component matrix for the |

`B2` |
Component matrix for the |

`C2` |
Component matrix for the |

`laba` |
Vector of length |

`labb` |
Vector of length |

`labc` |
Vector of length |

`Xprep` |
Matrix of order ( |

Maria Antonietta Del Ferraro mariaantonietta.delferraro@yahoo.it

Henk A.L. Kiers h.a.l.kiers@rug.nl

Paolo Giordani paolo.giordani@uniroma1.it

P. Giordani, H.A.L. Kiers, M.A. Del Ferraro (2014). Three-way component analysis using the R package ThreeWay. *Journal of Statistical Software 57(7):1–23*. http://www.jstatsoft.org/v57/i07/.

P.M. Kroonenberg (2008). *Applied Multiway Data Analysis*. Wiley, New Jersey.

L.R Tucker (1966). Some mathematical notes on three-mode factor analysis. *Psychometrika 31:279–311*.

1 2 3 4 5 6 7 8 9 10 11 12 | ```
data(Bus)
# labels for Bus data
laba <- rownames(Bus)
labb <- substr(colnames(Bus)[1:5],1,1)
labc <- substr(colnames(Bus)[seq(1,ncol(Bus),5)],3,8)
## Not run:
# interactive T3 analysis
BusT3 <- T3(Bus, laba, labb, labc)
# interactive T3 analysis (when labels are not available)
BusT3 <- T3(Bus)
## End(Not run)
``` |

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