jag009
★★★

NJ,
2013-05-03 18:45
(4010 d 04:08 ago)

Posting: # 10537
Views: 5,610
 

 Reverse Engineering → Back calculate the intra CV [Power / Sample Size]

Hi Helmut!

How does one back calculate the intrasubject CV (and MSE?) from the 90% confidence interval obtained for a three way partial replicate study? Can it be done using the same suggestion that you presented in your previous slides?

Thanks
John


Edit: Started a new thread & changed category. [Helmut]
Helmut
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Vienna, Austria,
2013-05-03 19:09
(4010 d 03:44 ago)

@ jag009
Posting: # 10538
Views: 4,644
 

 Why not?

Hi John!

❝ How does one back calculate the intrasubject CV (and MSE?) from the 90% confidence interval obtained for a three way partial replicate study? Can it be done using the same suggestion that you presented in your previous slides?


Essentially yes. You have to get the degrees of freedom right. See Detlew’s post. For your log AUCt data and my CI (ignoring the fact that you had 16, 17, and 18 subjects in the three sequences) I got:

require(PowerTOST)
CVfromCI(lower=0.874898, upper=1.02586, n=51, design="2x3x3", alpha=0.05)
[1] 0.2850511

…or better?*

require(PowerTOST)
CVfromCI(lower=0.874898, upper=1.02586, n=51, design="2x3x3", alpha=0.05,
  robust=TRUE)
[1] 0.2820788

But: According to this discussion I duno whether the CI is correct. :confused:

Maybe it’s better to go with the linearized CI from the RSABE-code instead (no mixed-effects limbo). With the 90% CI of 0.874723 – 1.02766 I got:

require(PowerTOST)
CVfromCI(lower=0.874723, upper=1.02766, n=51, design="2x3x3", alpha=0.05)
[1] 0.2886897




P.S.: Any news from Donald Schuirmann? ;-)

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jag009
★★★

NJ,
2013-05-09 22:12
(4004 d 00:41 ago)

@ Helmut
Posting: # 10563
Views: 4,558
 

 Why not?

Hi Helmut,

❝ Essentially yes. You have to get the degrees of freedom right. See Detlew’s post.


Question (obvious answer I am sure). The degrees of freedom for a 3-period 3-sequence 2-treatment partial replicate should be similar to that of a 3-period 3-sequence 3-treatment crossover right?

❝ P.S.: Any news from Donald Schuirmann? ;-)


Waiting...

Thx
John
d_labes
★★★

Berlin, Germany,
2013-05-10 10:12
(4003 d 12:41 ago)

@ jag009
Posting: # 10564
Views: 4,782
 

 degrees of freedom

Dear John,

❝ Question (obvious answer I am sure). The degrees of freedom for a 3-period 3-sequence 2-treatment partial replicate should be similar to that of a 3-period 3-sequence 3-treatment crossover right?


Define similar :-D.

If you need the exact ones:
Have a look at known.designs():
    no   design    df df2 steps  bk bknif       bkni                name   
     0 parallel   n-2 n-2     2 4.0   1/1 1.00000000         2 parallel groups
...
4    2      3x3 2*n-4 n-3     3 2.0   2/9 0.22222222             3x3 crossover
5    3    3x6x3 2*n-4 n-6     6 2.0  1/18 0.05555556           3x6x3 crossover
...
10   9    2x3x3 2*n-3 n-3     3 1.5   1/6 0.16666667 partial replicate (2x3x3)
...


df are the usual degrees of freedom if you use Proc GLM or equivalent.
df2 are the so-called robust degrees of freedom obtained if you analyze via appropriate intra-subject contrasts for T-R averaged over sequence groups.

Regards,

Detlew
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