Replicate Design ≠ Higher-Order Crossover [Design Issues]
Hi everybody and sorry for posting this additional question late.
But I cannot get to a clear answer by myself.
Helmut, you stated
I somehow fail to see why the extracted "pairs" are not considered balanced.
They are not balanced for carry-over (which was always the most important reason for Williams), but aren't they for period and sequence?
Is this what you mean here?
I have no idea how to make it fancy, so I will try an ASCII-style
So A is present once in each sequence and period and the same for B.
Best regards,
Relaxation.
But I cannot get to a clear answer by myself.
Helmut, you stated
❝ What you must not use is the Latin Square ABCD|BCDA|CDAB|DABC. Only from a Williams’ design you can extract balanced pairwise comparisons
I somehow fail to see why the extracted "pairs" are not considered balanced.
They are not balanced for carry-over (which was always the most important reason for Williams), but aren't they for period and sequence?
Is this what you mean here?
I have no idea how to make it fancy, so I will try an ASCII-style
Sequence | Treatments | IBD for A vs B
1 | ABCD | AB..
2 | DABC | .AB.
3 | CDAB | ..AB
4 | BCDA | B..A
So A is present once in each sequence and period and the same for B.
Best regards,
Relaxation.
Complete thread:
- Definition of Full Replicate Sereng 2023-03-13 17:08 [Design Issues]
- Definition of Full Replicate Mahmoud 2023-03-13 20:27
- Definition of Full Replicate Sereng 2023-03-13 23:38
- Definition of Full Replicate Mahmoud 2023-03-14 08:44
- Definition of Full Replicate Achievwin 2023-03-27 19:08
- Full Replicate with 3 periods mittyri 2023-03-27 22:16
- Full Replicate with 3 periods Achievwin 2023-03-28 03:06
- Full Replicate with 3 periods Helmut 2023-03-28 09:03
- Full Replicate with 3 periods mittyri 2023-03-27 22:16
- Definition of Full Replicate Achievwin 2023-03-27 19:08
- Definition of Full Replicate Mahmoud 2023-03-14 08:44
- Definition of Full Replicate Sereng 2023-03-13 23:38
- Definition of Full Replicate Brus 2023-03-14 10:10
- Replicate Design ≠ Higher-Order Crossover Helmut 2023-03-14 10:37
- Thank You! Sereng 2023-03-14 20:08
- Replicate Design ≠ Higher-Order CrossoverRelaxation 2023-03-20 08:56
- imbalance in Latin Square mittyri 2023-03-27 23:01
- Balance for all effects Helmut 2023-04-21 10:01
- Definition of Full Replicate Mahmoud 2023-03-13 20:27