The mysterious ρ -between or within studies [General Statistics]
Dear Helmut,
» Yep, then I expect a high correlation (based on my limited knowledge of PK). For my data sets I get with
»
» rho[set, "lower"] <- as.numeric(pearson$conf.int)[[1]]
» rho[set, "upper"] <- as.numeric(pearson$conf.int)[[2]]
» summary(rho, digits=5)
»
» estimate lower upper
» Min. :0.20123 Min. :-0.094923 Min. :0.40858
» 1st Qu.:0.70335 1st Qu.: 0.516584 1st Qu.:0.82721
» Median :0.81713 Median : 0.677607 Median :0.89959
» Mean :0.77413 Mean : 0.633948 Mean :0.86544
» 3rd Qu.:0.90122 3rd Qu.: 0.827646 3rd Qu.:0.94461
» Max. :0.98928 Max. : 0.977336 Max. :0.99494
Thanks for that numbers.
» Another question: What is a “similar experiment”?
Good question. Another question. Duno. Pilot study?
For me the hole rho story is a mystery. And rather academic.
Nobody is acting according to that theory. Not at least because the understanding of what value rho shoud have or how it could be estimated.
Taking the greater sample size from the two estimations worked in the past. So what?
Theoretically this would be the case if rho ~ 1 since then the combined power of the two TOST is the minimum of the individual powers. That would be my favoured candidate
.
Be warned: rho=1 throws an error in
» Yep, then I expect a high correlation (based on my limited knowledge of PK). For my data sets I get with
»
pearson <- cor.test(log(study$AUC), log(study$Cmax))
» rho[set, "estimate"] <- pearson$estimate» rho[set, "lower"] <- as.numeric(pearson$conf.int)[[1]]
» rho[set, "upper"] <- as.numeric(pearson$conf.int)[[2]]
» summary(rho, digits=5)
»
» estimate lower upper
» Min. :0.20123 Min. :-0.094923 Min. :0.40858
» 1st Qu.:0.70335 1st Qu.: 0.516584 1st Qu.:0.82721
» Median :0.81713 Median : 0.677607 Median :0.89959
» Mean :0.77413 Mean : 0.633948 Mean :0.86544
» 3rd Qu.:0.90122 3rd Qu.: 0.827646 3rd Qu.:0.94461
» Max. :0.98928 Max. : 0.977336 Max. :0.99494
Thanks for that numbers.
» Another question: What is a “similar experiment”?
Good question. Another question. Duno. Pilot study?
For me the hole rho story is a mystery. And rather academic.
Nobody is acting according to that theory. Not at least because the understanding of what value rho shoud have or how it could be estimated.
Taking the greater sample size from the two estimations worked in the past. So what?
Theoretically this would be the case if rho ~ 1 since then the combined power of the two TOST is the minimum of the individual powers. That would be my favoured candidate

Be warned: rho=1 throws an error in
sampleN.2TOST()
.—
Regards,
Detlew
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
- If u see a BEar don't forget to R oaρ - Astea, 2018-02-09 20:47
- 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 studies - d_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
- reminds me of something - ElMaestro, 2018-02-12 09:18
- reminds me of something - nobody, 2018-02-12 09:38
- Hammer to fall - Astea, 2018-02-12 18:37
- Put the sickle to the corn - Helmut, 2018-02-13 01:37
- Put the sickle to the corn - Astea, 2018-02-13 08:27
- Put the sickle to the corn - Helmut, 2018-02-13 12:45
- Put the sickle to the corn - Relaxation, 2018-02-13 10:37
- 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