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RegisterThree-way vs. four-way replicate design [Power / Sample Size]
Greetings Helmut et al!
Please excuse the trivial question. I blame medical training, which is short both on mathematics and logic.
If I were to run a four period replicate design study in n=24, this has the statistical power of a standard two-way design in n=48 (along with the added advantage of being able to apply wider limits using SABE).
If I instead choose to run a three period replicate study with equivalent power, my understanding this should include n=36. However, in this case the T/R comparison involves 36 sets of data, while the 4-period design involves 48 T/R comparisons. Surely that gives the 4-period design an advantage?
Where has my logic gone wrong?
Kind regards
Andrew
Please excuse the trivial question. I blame medical training, which is short both on mathematics and logic.
If I were to run a four period replicate design study in n=24, this has the statistical power of a standard two-way design in n=48 (along with the added advantage of being able to apply wider limits using SABE).
If I instead choose to run a three period replicate study with equivalent power, my understanding this should include n=36. However, in this case the T/R comparison involves 36 sets of data, while the 4-period design involves 48 T/R comparisons. Surely that gives the 4-period design an advantage?
Where has my logic gone wrong?
Kind regards
Andrew
Complete thread:
- Three-way vs. four-way replicate designDr Andrew Leary 2010-05-27 16:03
![[Mix]](https://static.bebac.at/img/mix.png "open in Mix view")
- Three-way vs. four-way replicate design Helmut 2010-05-27 16:28
- Three-way vs. four-way replicate design Dr Andrew Leary 2010-05-27 16:46
- Three-way vs. four-way replicate design Helmut 2010-05-27 16:28
Ing. Helmut Schütz