period x sequence [Design Issues]
Dear ElMaestro,
IMHO your description is totally correct.
But my judgment to Johns question would be different:
No. Its not possible to to determine the interaction between period and sequence effect and the treatment effect in a classical 2x2 crossover. Both terms are confounded.
It's the same situation if you try to determine a carry-over effect and a direct sequence effect simultaneously.
❝ ❝ Is it possible to determine the interaction between period and sequence effect?
❝
❝ Yes. It is a treatment effect.
❝ E.g. Period 1 in (or x) Sequence TR is effectively just treatment T (in that period). Note that some serious DF elimination may come into play depending on how you specify the model. For example, in the model matrix the columns for "period 1 in Seq TR" and "period 2 in Seq RT" will add up to exactly the column for the Treatment T effect. If you have the interaction before the treatment in your model spec, then the latter will get a type I SS and MS of zero.
IMHO your description is totally correct.
But my judgment to Johns question would be different:
No. Its not possible to to determine the interaction between period and sequence effect and the treatment effect in a classical 2x2 crossover. Both terms are confounded.
It's the same situation if you try to determine a carry-over effect and a direct sequence effect simultaneously.
—
Regards,
Detlew
Regards,
Detlew
Complete thread:
- Significant period effect jag009 2016-12-20 04:48 [Design Issues]
- Significant period effect ElMaestro 2016-12-20 12:17
- period x sequenced_labes 2016-12-21 10:45
- period x sequence jag009 2016-12-21 22:21
- Significant period effect libaiyi 2018-06-29 12:02
- Confounded effects Helmut 2018-06-29 12:35
- Confounded effects libaiyi 2018-07-03 09:52
- Confounded effects Helmut 2018-06-29 12:35
- period x sequenced_labes 2016-12-21 10:45
- Significant period effect ElMaestro 2016-12-20 12:17