**Remembering that the core stems from an orthogonal model**,

we know that the square of the elements is proportional to the variation explained by the corresponding factor combination. **Ergo, the three elements having the values**

96.27, -18.34 and 13.08 each represent the three most important factor combinations. **Note **that the remaining factor combinations can be regarded as being insignificant in the model of **X**.

**We see that the elements**

correspond to indices (1,1,1), (1,2,2) and (1,3,3).

From these combinations we see that there *is* one very important factor, namely factor one in the first mode (i.e. the first column of component matrix **A**).

This factor is a part of all the significant factor combinations.