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

The function `optBlock`

of the library `AlgDesign`

is used to search for balanced incomplete block designs
(BIBDs). The design is assigned to a matrix where rows represent blocks (subjects) and
columns represent periods.

1 | ```
find.BIB(trt, b, k, iter = 30)
``` |

`trt` |
An integer > 1 giving the number of treatments of the design. |

`b` |
An integer > 1 giving the number of rows (subjects) of the design. |

`k` |
An integer > 1 giving the number of columns (periods) of the design. |

`iter` |
The number of iterations of the function |

The function `optBlock`

tries to find a D-optimal block design for the specified parameters.
The resulting design need not be a BIBD.
The necessary conditions for the existence are that *bk/trt* and
*bk(k-1)/(trt(trt-1))* positive integers.
They are NOT checked automatically.
Even if they are fulfilled, there need not be a BIBD.
If no BIBD is found, the function is iterated.
If no BIBD is found after `iter`

iterations, the search is terminated.
The resulting design should be checked by the user applying `isGYD`

.

A matrix that represents the experimental design.

As indicated above, the returned design is not necessarily a BIBD design.

Oliver Sailer

Wheeler, R.E. (2004). optBlock. AlgDesign. The R project for statistical computing http://www.r-project.org/

1 2 3 4 |

```
Loading required package: AlgDesign
Loading required package: gtools
[,1] [,2] [,3] [,4]
[1,] 5 6 7 10
[2,] 2 3 4 6
[3,] 2 5 7 9
[4,] 2 3 5 7
[5,] 4 7 8 10
[6,] 5 6 8 10
[7,] 1 2 5 8
[8,] 1 4 7 10
[9,] 1 2 4 6
[10,] 2 4 8 9
[11,] 4 5 6 9
[12,] 3 7 8 9
[13,] 3 4 6 9
[14,] 3 4 5 7
[15,] 1 3 6 8
[16,] 1 2 6 7
[17,] 3 4 8 10
[18,] 1 3 9 10
[19,] 1 4 5 9
[20,] 2 4 7 8
[21,] 2 3 5 10
[22,] 6 7 9 10
[23,] 1 3 5 8
[24,] 2 8 9 10
[25,] 1 3 7 9
[26,] 1 6 7 8
[27,] 1 4 5 10
[28,] 1 2 9 10
[29,] 2 3 6 10
[30,] 5 6 8 9
[,1] [,2] [,3]
[1,] 1 2 3
[2,] 1 2 3
[3,] 1 2 3
[,1] [,2] [,3]
[1,] 2 3 5
[2,] 1 3 4
[3,] 2 4 5
[4,] 1 2 4
[5,] 1 3 5
```

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