Abstract
We present a class of counterexamples for a conjecture on the existence of linear trend-free block designs. We will also prove a considerably weakened version of this conjecture, which will determine all combinations of design parameters for which the class of linear trend-free block designs is non-empty.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 3857-3863 |
| Number of pages | 7 |
| Journal | Communications in Statistics - Theory and Methods |
| Volume | 17 |
| Issue number | 11 |
| DOIs | |
| State | Published - Jan 1 1988 |
Keywords
- design Construction
- eliminating linear trend effects
- incomplete block designs
- kronecker product designs
ASJC Scopus subject areas
- Statistics and Probability