2x3x3 or 2x2x3 or 2x2x4? [RSABE / ABEL]

posted by d_labes  – Berlin, Germany, 2014-10-22 18:12 (3857 d 07:09 ago) – Posting: # 13768
Views: 14,838

Dear Felipe,

❝ But talking a little about sample size, ...


Since your original question refers to FDA lets see:
(using R with package PowerTOST, true GMR=0.95, target power=80%, sample size for reference scaled ABE using scABE criterion according to progesterone guidance)

> library(PowerTOST)
> sampleN.RSABE(CV=0.4, design="2x3x3")

++++++++ Reference scaled ABE crit. +++++++++
           Sample size estimation
---------------------------------------------
Study design:  2x3x3 (partial replicate)
log-transformed data (multiplicative model)
1e+05 studies for each step simulated.

alpha  = 0.05, target power = 0.8
CVw(T) = 0.4; CVw(R) = 0.4
Null (true) ratio = 0.95
ABE limits / PE constraints = 0.8 ... 1.25
Regulatory settings: FDA
- CVswitch =  0.3
- Regulatory constant = 0.8925742

Sample size search
 n     power
21   0.73975
24   0.80864

> sampleN.RSABE(CV=0.4, design="2x2x3")

++++++++ Reference scaled ABE crit. +++++++++
           Sample size estimation
---------------------------------------------
Study design:  2x2x3 (TRT|RTR)
log-transformed data (multiplicative model)
1e+05 studies for each step simulated.

alpha  = 0.05, target power = 0.8
CVw(T) = 0.4; CVw(R) = 0.4
Null (true) ratio = 0.95
ABE limits / PE constraints = 0.8 ... 1.25
Regulatory settings: FDA
- CVswitch =  0.3
- Regulatory constant = 0.8925742

Sample size search
 n     power
20   0.66022
22   0.71427
24   0.76072
26   0.79722
28   0.83092

> sampleN.RSABE(CV=0.4, design="2x2x4")

++++++++ Reference scaled ABE crit. +++++++++
           Sample size estimation
---------------------------------------------
Study design:  2x2x4 (full replicate)
log-transformed data (multiplicative model)
1e+05 studies for each step simulated.

alpha  = 0.05, target power = 0.8
CVw(T) = 0.4; CVw(R) = 0.4
Null (true) ratio = 0.95
ABE limits / PE constraints = 0.8 ... 1.25
Regulatory settings: FDA
- CVswitch =  0.3
- Regulatory constant = 0.8925742

Sample size search
 n     power
14   0.68849
16   0.76590
18   0.82274


The number of measurements (concentration samples) are
2x3x3 = 72 * number of timepoints
2x2x3 = 84 * number of timepoints
2x2x4 = 72 * number of timepoints

The design 2x2x3 needs somewhat higher sample size than the partial replicate but has the advantage of yielding also an intra-subject variability for Test. But this is a "nice to have".

Hope this helps.

Regards,

Detlew

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