The mysterious ρ -between or within studies [General Statistics]
❝ So, for ρ=0.8 I get now
❝ > type1error.2TOST(CV=c(0.3, 0.25), n=122, theta1=c(0.8, 0.9),
❝ + theta2=c(1.25, 1/0.9), rho=0.8, details=TRUE)
❝ 1e+06 simulations. Time consumed (secs)
❝ 979.75 95.18 1115.72
❝ Intersection null P(Type I Error) theta0 #1 theta0 #2
❝ 1 H_A01 n H_Ca 0.048904 0.8000000 0.953047
❝ 2 H_A02 n H_Ca 0.049193 1.2500000 1.056122
❝ 3 H_Aa n H_C01 0.049620 0.9709781 0.900000
❝ 4 H_Aa n H_C02 0.050024 1.0000000 1.111111
❝ ...
❝ and inflation at 0.050024
Don't forget, that type1error.2TOST() is based on simulations now.
That's mainly because our (authors team of PowerTOST) brain is to small to derive an analytical solution. And simulations have an error. F.i. in setting the seed for the random number generator.
type1error.2TOST(CV=c(0.3, 0.25), n=122, theta1=c(0.8, 0.9), theta2=c(1.25, 1/0.9), rho=0.8, setseed=F)
[K1] 0.049977
In that light 0.050024 is of course not an alpha-inflation. As we know from theory, the IUT principle, the combination of two TOST via and assures alpha<=0.05. Thus interpret the result as 0.05. Full stop
❝ As I understand estimated from several datasets ρ is "between studies" ρ while in Power2TOST we need to use "within studies ρ".
I myself don't know what ρ or what value of ρ should be used. As I wrote above: It's under discussion now.
Thus if you or somebody else have an opinion or arguments: Give it to me.
Regards,
Detlew
Complete thread:
- Power and type I adjustment for 222BE when several PK prams considered Louis52 2018-02-07 21:04 [General Statistics]
- Power and type I adjustment for 222BE when several PK prams considered ElMaestro 2018-02-07 22:37
- Power of two combined TOST d_labes 2018-02-08 14:12
- The mysterious ρ Helmut 2018-02-08 21:40
- ρ ρ ρ your boat ElMaestro 2018-02-09 09:58
- ρ ρ ρ your boat Helmut 2018-02-09 19:20
- ...and a bonus question ElMaestro 2018-02-09 11:32
- ...and a bonus question Helmut 2018-02-09 19:43
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- package install failed d_labes 2018-02-11 13:23
- If u see a BEar don't forget to R oaρ Astea 2018-02-09 20:47
- ...and a bonus question Helmut 2018-02-09 19:43
- The mysterious ρ -between or within studies d_labes 2018-02-11 15:57
- The mysterious ρ -between or within studies Helmut 2018-02-11 17:31
- The mysterious ρ -between or within studies d_labes 2018-02-11 19:21
- The mysterious ρ within studies Helmut 2018-02-11 22:44
- The mysterious ρ within studies nobody 2018-02-12 09:08
- The mysterious ρ within studies Helmut 2018-02-11 22:44
- The mysterious ρ -between or within studies d_labes 2018-02-11 19:21
- The mysterious ρ -between or within studies Astea 2018-02-11 17:34
- The mysterious ρ -between or within studiesd_labes 2018-02-11 19:36
- The mysterious ρ within studies Helmut 2018-02-11 22:48
- The mysterious ρ -between or within studies Helmut 2018-02-11 17:31
- ρ ρ ρ your boat ElMaestro 2018-02-09 09:58
- The mysterious ρ Helmut 2018-02-08 21:40
- Power and type I adjustment for 222BE when several PK prams considered ElMaestro 2018-02-11 18:43
- Power and type I adjustment for 222BE when several PK prams considered nobody 2018-02-12 09:10
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- reminds me of something nobody 2018-02-12 09:38
- Hammer to fall Astea 2018-02-12 18:37
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- multiple units, lag-times Helmut 2018-02-13 13:31
- Put the sickle to the corn Astea 2018-02-13 08:27
- Put the sickle to the corn Helmut 2018-02-13 01:37
- Hammer to fall Astea 2018-02-12 18:37
- reminds me of something nobody 2018-02-12 09:38
- reminds me of something ElMaestro 2018-02-12 09:18
- Power and type I adjustment for 222BE when several PK prams considered nobody 2018-02-12 09:10