Examples
An example of a 2-(4, 5, 1) orthogonal array; a strength 2, 4 level design of index 1 with 16 runs.
| 1 | 1 | 1 | 1 | 1 |
| 1 | 2 | 2 | 2 | 2 |
| 1 | 3 | 3 | 3 | 3 |
| 1 | 4 | 4 | 4 | 4 |
| 2 | 1 | 4 | 2 | 3 |
| 2 | 2 | 3 | 1 | 4 |
| 2 | 3 | 2 | 4 | 1 |
| 2 | 4 | 1 | 3 | 2 |
| 3 | 1 | 2 | 3 | 4 |
| 3 | 2 | 1 | 4 | 3 |
| 3 | 3 | 4 | 1 | 2 |
| 3 | 4 | 3 | 2 | 1 |
| 4 | 1 | 3 | 4 | 2 |
| 4 | 2 | 4 | 3 | 1 |
| 4 | 3 | 1 | 2 | 4 |
| 4 | 4 | 2 | 1 | 3 |
An example of a 2-(3,5,3) orthogonal array (written as its transpose for ease of viewing):
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 0 | 0 | 0 | 1 | 1 | 1 | 2 | 2 | 2 | 0 | 0 | 0 | 1 | 1 | 1 | 2 | 2 | 2 | 0 | 0 | 0 | 1 | 1 | 1 | 2 | 2 | 2 |
| 0 | 1 | 2 | 0 | 1 | 2 | 0 | 1 | 2 | 0 | 1 | 2 | 0 | 1 | 2 | 0 | 1 | 2 | 0 | 1 | 2 | 0 | 1 | 2 | 0 | 1 | 2 |
| 0 | 0 | 0 | 1 | 1 | 1 | 2 | 2 | 2 | 2 | 2 | 2 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 2 | 2 | 2 | 0 | 0 | 0 |
| 0 | 1 | 2 | 1 | 2 | 0 | 2 | 0 | 1 | 0 | 1 | 2 | 1 | 2 | 0 | 2 | 0 | 1 | 0 | 1 | 2 | 1 | 2 | 0 | 2 | 0 | 1 |
Read more about this topic: Hyper-Graeco-Latin Square Design
Famous quotes containing the word examples:
“No rules exist, and examples are simply life-savers answering the appeals of rules making vain attempts to exist.”
—André Breton (18961966)
“It is hardly to be believed how spiritual reflections when mixed with a little physics can hold peoples attention and give them a livelier idea of God than do the often ill-applied examples of his wrath.”
—G.C. (Georg Christoph)
“In the examples that I here bring in of what I have [read], heard, done or said, I have refrained from daring to alter even the smallest and most indifferent circumstances. My conscience falsifies not an iota; for my knowledge I cannot answer.”
—Michel de Montaigne (15331592)