# T3runsApproxFit: Approximated Tucker3 solutions In ThreeWay: Three-Way Component Analysis

## Description

Computes all the approximated Tcker3 solutions using PCASup results with `r1` (from 1 to `maxa`), `r2` (from 1 to `maxb`) and `r3` (from 1 to `maxc`) components.

## Usage

 `1` ```T3runsApproxFit(X, n, m, p, maxa, maxb, maxc) ```

## Arguments

 `X` Matrix (or data.frame coerced to a matrix) of order (`n` `x` `mp`) containing the matricized array (frontal slices) `n` Number of `A`-mode entities `m` Number of `B`-mode entities `p` Number of `C`-mode entities `maxa` Maximum dimensionality for the `A`-mode `maxb` Maximum dimensionality for the `B`-mode `maxc` Maximum dimensionality for the `C`-mode

## Value

 `out` Matrix with columns: number of components for the `A`-mode, number of components for the `B`-mode, number of components for the `C`-mode, goodness of fit (%), total number of components

## Note

Cumulative sum of eigenvalues and fits from PCAsup applied to the `A`-, `B`- and `C`-modes are automatically printed.

## Author(s)

Maria Antonietta Del Ferraro mariaantonietta.delferraro@yahoo.it
Henk A.L. Kiers h.a.l.kiers@rug.nl
Paolo Giordani paolo.giordani@uniroma1.it

## References

H.A.L. Kiers (1991). Hierarchical relations among three-way methods. Psychometrika 56:449–470.

`DimSelector`, `LineCon`, `pcasup3`, `T3`
 ```1 2 3 4``` ```data(Bus) # Fit values of T3 with different numbers of components (from 1 to 4 for the A-mode, # from 1 to 3 for the B-mode, from 1 to 5 for the C-mode) FitT3 <- T3runsApproxFit(Bus, 7, 5, 37, 4, 3, 5) ```