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# Information about Hayashi's Japanese girls data

A full description and the data are contained in:

Hayashi, C., & Hayashi, F. (1982). A new algorithm to solve PARAFAC-model. Behaviormetrika, 11, 49-60.

P. 56: "The follow-up survey of growth of physical constitution of boys and girls for nine years (in the prefecture of Chiba) was conducted by a lecturer Hiroaki Terao at the Faculty of Medicine, Teikyo University. Here we use only the girls' data (6 years old to 14 years old).

x(i,j,k) means a numerical value for
the jth-measurement,
the ith-year and
the kth-individual, where
J=4 measurements: j=1 height, j=2 weight, j=3 chest girth, j=4 sitting height,
I=9 follow-up years and
K=32 girls (size of sample).

Hayashi's growth curve data of Japanese girls.
A 3-way data array X = (x(i,j,k)) has the following form

```          |-----------|i=1
|-----------|    |i=2
|-----------|    |    |..
|           |    |    |..
|           |    |____|i=I=9    k=K=32
|           |____|            k=2
|___________|              k=1

j=1,..,J=4

```

which translates to the data set itself as
```
j=1,..,J=4
|-----------|i=1
|           |i=2
|           |..     k= 1
|           |..
|___________|i=I=9
|-----------|i=1
|           |i=2
|           |..     k= 2
|           |..
|___________|i=I=9
|-----------|i=1
|           |i=2
|           |..     k=32
|           |..
|___________|i=I=9

```

Thus the first mode (i) is nested in the third mode (k) and there are 32 (girls) times 9 (follow-up years) rows and 4 (variables) columns.