# Generation of Balanced Incomplete Block Designs Using the Package AlgDesign

### Description

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.

### Usage

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

### Arguments

`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 |

### Details

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`

.

### Value

A matrix that represents the experimental design.

### Note

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

### Author(s)

Oliver Sailer

### References

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

### See Also

`get.plan`

, `optBlock`

### Examples

1 2 3 4 |

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