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

Compute the *φ_p* criterion (strongly linked to mindist criterion)

1 | ```
phiP(design, p=50)
``` |

`design` |
a matrix (or a data.frame) corresponding to the design of experiments. |

`p` |
the "p" in the Lp norm which is taken |

The *φ_p* criterion is defined by the *L_p* norm of the sum of the inverses of the design inter-point euclidean distances:

A higher value corresponds to a more regular scaterring of design points.

When *p* tends to infinity, optimizing a design with *φ_p* is equivalent to optimizing a design with `mindist`

.

A real number equal to the value of the *φ_p* criterion for the `design`

.

G. Damblin & B.Iooss

Damblin G., Couplet M., and Iooss B. (2013). Numerical studies of sapce filling designs: optimization of Latin Hypercube Samples and subprojection properties, *Journal of Simulation*, 7:276-289, 2013.

Fang K.-T., Li R. and Sudjianto A. (2006). Design and Modeling for Computer Experiments, *Chapman & Hall*.

Pronzato, L. and Muller, W. (2012). Design of computer experiments: space filling and beyond, *Statistics and Computing*, 22:681-701.

geometric criterion (`mindist`

)

1 2 3 4 |

```
[1] 59.23207
```

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