3-per, 2-trt designs and estimation of intra-subj. variance [RSABE / ABEL]
Hi all,
I think it sounds fully plausible and intuitive to say that intrasubject variabilities for Test products cannot be estimated in TRR/RTR/RRT xover designs. We do not have replication of Test and this is the principal argument.
But is that really a reflection of the facts?
Well, due to the replication of Ref we can estimate
Now, the variance of the observations done on test will be
So, we can definitely estimate the sum (
Try to think about it without just blindly referencing what a guideline says.
Now butcher me, please.
Edit: Category changed. [Helmut]
I think it sounds fully plausible and intuitive to say that intrasubject variabilities for Test products cannot be estimated in TRR/RTR/RRT xover designs. We do not have replication of Test and this is the principal argument.
But is that really a reflection of the facts?
Well, due to the replication of Ref we can estimate
s2wR
as well as s2b
, with w being 'within' and b being 'between'. I think it can be argued that in a crossover it makes no sense to discuss different betweens-variances between treatments.Now, the variance of the observations done on test will be
s2wT
+ s2b
- this is what we will have on the diagonal of the covariance matrix V.So, we can definitely estimate the sum (
s2wT
+ s2b
), and since the ref. replication allows us to get s2b
, I see no reason why we cannot estimate the elusive s2wT
.Try to think about it without just blindly referencing what a guideline says.
Now butcher me, please.

Edit: Category changed. [Helmut]
—
Pass or fail!
ElMaestro
Pass or fail!
ElMaestro
Complete thread:
- 3-per, 2-trt designs and estimation of intra-subj. varianceElMaestro 2013-08-12 19:54
- 3-per, 2-trt designs and estimation of intra-subj. variance Dr_Dan 2013-08-13 10:11
- 3-per, 2-trt designs and estimation of intra-subj. variance ElMaestro 2013-08-13 15:00
- TRT|RTR rulez! Helmut 2013-08-13 18:23
- TRT|RTR rulez? Really? d_labes 2013-08-14 08:16
- TRT|RTR rulez? Really? Yes. ElMaestro 2013-08-14 11:29
- TRT|RTR rulez? Really? No. d_labes 2013-08-14 13:34
- TRT|RTR rulez? Really? No. ElMaestro 2013-08-14 14:25
- TRT|RTR Lost in formulas. d_labes 2013-08-14 16:35
- TRT|RTR rulez? Really? No. ElMaestro 2013-08-14 14:25
- TRT|RTR rulez? Really? No. d_labes 2013-08-14 13:34
- TRT|RTR rulez? References Helmut 2013-08-14 13:44
- References László & László d_labes 2013-08-14 19:12
- Heteroscedasticity Helmut 2013-08-17 17:33
- Heteroscedasticity: TRT|RTR rulez! d_labes 2013-08-29 16:45
- Heteroscedasticity: TRT|RTR rulez! ElMaestro 2013-08-29 17:50
- Sims & evaluation d_labes 2013-08-30 09:16
- Sims & evaluation ElMaestro 2013-08-31 14:11
- Evaluation subtleties d_labes 2013-08-31 17:20
- Sims & evaluation ElMaestro 2013-08-31 14:11
- Sims & evaluation d_labes 2013-08-30 09:16
- Heteroscedasticity: TRT|RTR rulez! ElMaestro 2013-08-29 17:50
- Heteroscedasticity: TRT|RTR rulez! d_labes 2013-08-29 16:45
- Heteroscedasticity Helmut 2013-08-17 17:33
- References László & László d_labes 2013-08-14 19:12
- TRT|RTR rulez? Really? Yes. ElMaestro 2013-08-14 11:29
- TRT|RTR rulez? Really? d_labes 2013-08-14 08:16
- TRT|RTR rulez! Helmut 2013-08-13 18:23
- 3-per, 2-trt designs and estimation of intra-subj. variance ElMaestro 2013-08-13 15:00
- 3-per, 2-trt designs and estimation of intra-subj. variance Dr_Dan 2013-08-13 10:11