Description Usage Arguments Details Value Note Author(s) References Examples

View source: R/design.reg.polynom.R

Determines locations and number of replications for a polynomial regression design.

Needs specification of order of polynom, borders of intervall and total number of measurements as input.

1 2 | ```
design.regression.polynom(a, b, k, n)
design.reg.polynom(...)
``` |

`a` |
lower bound of interval |

`b` |
upper bound of interval |

`k` |
order of polynom |

`n` |
total number of planned measurements |

`...` |
only used for call wrapper |

Uses Legendre Polynomials to determine the support points for the design:

If *a=-1*, *b=1*: places *k +1* support points in
*[-1,1]*, located at the roots of *(1-x^{2})\frac{dP_{k}(x)}{dx}*
where *P_{k}(x)* is the Legendre polynomial of degree *k*).

Distributes the `n`

measurements almost equally over the
support points.

Object of class `design.regression`

`design.reg.polynom`

is a call wrapper for backward compatibility for
`design.regression.polynom`

Dieter Rasch, Juergen Pilz, L.R. Verdooren, Albrecht Gebhardt

Dieter Rasch, Juergen Pilz, L.R. Verdooren, Albrecht Gebhardt: Optimal Experimental Design with R, Chapman and Hall/CRC, 2011

1 2 | ```
x <- design.reg.polynom(10, 100, 3, 45)
x
``` |

```
Loading required package: gmp
Attaching package: 'gmp'
The following objects are masked from 'package:base':
%*%, apply, crossprod, matrix, tcrossprod
Loading required package: polynom
Design for a polynomial model
Order: 3
Interval: [ 10 , 100 ]
( 1.000e+01 3.488e+01 7.512e+01 1.000e+02 )
( 12 11 11 11 )
```

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