Additional information [Design Issues]
Dear all!
Some more information: Using 3 treatements, a Williams design can be used leading to 6 sequences with 3 periods
Sequence 1: A, B, C
Sequence 2: A, C, B
Sequence 3: B, A, C
Sequence 4: B, C, A
Sequence 5: C, A, B
Sequence 6: C, B, A
we are also planning to perform replicates and the question is: how should the order of replicates be specified?
1) Replicated Williams design: the order of treatments are identical for first and second part:
Sequence 1: A, B, C ; A, B, C
Sequence 2: A, C, B ; A, C, B
Sequence 3: B, A, C ; B, A, C
Sequence 4: B, C, A ; B, C, A
Sequence 5: C, A, B ; C, A, B
Sequence 6: C, B, A ; C, B, A
2) Replicated Williams design where the order of treatments in the second part is determined randomly, for example:
Sequence 1: A, B, C ; B, C, A
Sequence 2: A, C, B ; C, A, B
Sequence 3: B, A, C ; A, B, C
Sequence 4: B, C, A ; A, C, B
Sequence 5: C, A, B ; B, A, C
Sequence 6: C, B, A ; C, B, A
I would be happy to receive some comments regarding the pros and cons for these two designs
best regards
Martin
Some more information: Using 3 treatements, a Williams design can be used leading to 6 sequences with 3 periods
Sequence 1: A, B, C
Sequence 2: A, C, B
Sequence 3: B, A, C
Sequence 4: B, C, A
Sequence 5: C, A, B
Sequence 6: C, B, A
we are also planning to perform replicates and the question is: how should the order of replicates be specified?
1) Replicated Williams design: the order of treatments are identical for first and second part:
Sequence 1: A, B, C ; A, B, C
Sequence 2: A, C, B ; A, C, B
Sequence 3: B, A, C ; B, A, C
Sequence 4: B, C, A ; B, C, A
Sequence 5: C, A, B ; C, A, B
Sequence 6: C, B, A ; C, B, A
2) Replicated Williams design where the order of treatments in the second part is determined randomly, for example:
Sequence 1: A, B, C ; B, C, A
Sequence 2: A, C, B ; C, A, B
Sequence 3: B, A, C ; A, B, C
Sequence 4: B, C, A ; A, C, B
Sequence 5: C, A, B ; B, A, C
Sequence 6: C, B, A ; C, B, A
I would be happy to receive some comments regarding the pros and cons for these two designs
best regards
Martin
Complete thread:
- Replicated cross over with fixed number of periods martin 2012-11-05 17:31 [Design Issues]
- Additional informationmartin 2012-11-06 11:50
- Quick Q for my clarification ElMaestro 2012-11-06 12:09
- Quick Q for my clarification martin 2012-11-06 12:29
- 5 periods ElMaestro 2012-11-06 12:43
- Latin Squares ↔ Williams’ designs Helmut 2012-11-06 14:07
- Latin Squares ↔ Williams’ designs Ben 2012-11-07 21:10
- Williams’ designs more reliable? d_labes 2012-11-08 08:29
- Williams’ designs more reliable? Ben 2012-11-09 18:20
- Williams’ designs more reliable? d_labes 2012-11-11 14:14
- Williams’ designs more reliable? Ben 2012-11-18 13:20
- Frequentists vs. Bayesians Helmut 2012-11-18 14:48
- Frequentists vs. Bayesians Ben 2012-11-18 15:28
- Frequentists vs. Bayesians Helmut 2012-11-18 14:48
- Williams’ designs more reliable? Ben 2012-11-18 13:20
- Williams’ designs more reliable? d_labes 2012-11-11 14:14
- Williams’ designs more reliable? Ben 2012-11-09 18:20
- Williams’ designs more reliable? d_labes 2012-11-08 08:29
- Latin Squares ↔ Williams’ designs Ben 2012-11-07 21:10
- Quick Q for my clarification martin 2012-11-06 12:29
- Quick Q for my clarification ElMaestro 2012-11-06 12:09
- Additional informationmartin 2012-11-06 11:50