Bioequivalence and Bioavailability Forum • power.TOST.sim and uncertainty

power.TOST.sim and uncertainty [Outliers]

posted by mittyri – Russia, 2023-10-11 14:42 (428 d 16:16 ago) – Posting: # 23749
Views: 4,171

Dear BEQool!

❝ Lets say I plan study with theta0=0.95, CV=0.20, design="2x2", targetpower=0.8 (all except CV are default settings in PowerTOST), so with sampleN.TOST I get N=20 and power=0.834680

❝ > sampleN.TOST(theta0=0.95, CV=0.20, design="2x2", targetpower=0.8, print=FALSE)


❝   Design alpha  CV theta0 theta1 theta2 Sample size Achieved power Target power

❝     2x2  0.05   0.2  0.95    0.8   1.25          20      0.8346802          0.8

❝

❝ If all of my assumptions in a study are exactly realized, doesnt it mean that I would 100% always get bioequivalent formulations (and the study would never fail)?

❝ If all of my assumptions in a study are exactly realized (pe=0.95, CV=0.20, design="2x2", n=20) then I would get the following confidence interval:

❝ > CI.BE(pe=0.95,CV=0.20,n=20)


❝     lower     upper

❝ 0.8522362 1.0589787

I think exactly realized means a bit different thing.
Take a look at power.TOST.sim() function in PowerTOST package
The description says:

Power is calculated by simulations of studies (PE via its normal distribution, MSE via its associated χ2 distribution) and application of the two one-sided t-tests. Power is obtained via ratio of studies found BE to the number of simulated studies.

So exactly realized means that the variance and centers of distributions used in power estimation were close to the true values, nothing more.

> power.TOST.sim(n = 20, CV = 0.2, theta0 = 0.95, nsims = 1000)

[1] 0.832

# easy to find non-BE replicate

> set.seed(5)

> power.TOST.sim(n = 20, CV = 0.2, theta0 = 0.95, nsims = 1, setseed = FALSE)

[1] 0

—
Kind regards,
Mittyri

Complete thread:

Outlier in fully replicate BE study Loky do 2021-06-16 00:49 [Outliers]
- Outlier in fully replicate BE study drgunasakaran1 2021-06-16 08:59
  - Widening for clopidogrel BE study Loky do 2021-06-16 15:38
    - Widening for clopidogrel BE study mittyri 2021-06-16 16:04
      - Widening for clopidogrel BE study Loky do 2021-06-16 17:08
        
        Widening for clopidogrel BE study - cherry-picking? mittyri 2021-06-16 17:27
        Widening for clopidogrel BE study drgunasakaran1 2021-06-17 12:01
        Hypotheses Helmut 2021-06-19 12:32
        
        Hypotheses Loky do 2021-07-06 11:51
        
        ABEL ≠ RSABE Helmut 2021-07-06 16:17
        
        ABEL ≠ RSABE BEQool 2023-10-09 14:47
        
        power.TOST.sim and uncertaintymittyri 2023-10-11 12:42
        
        power.TOST.sim and uncertainty BEQool 2023-10-15 11:29
        
        power.TOST.sim and uncertainty mittyri 2023-10-20 21:47
        
        Distribution of PEs Helmut 2023-10-23 10:48
        
        Distribution of PEs BEQool 2023-10-23 19:55
        
        power.TOST.sim code mittyri 2023-10-31 15:40
        
        power.TOST.sim code BEQool 2023-11-02 11:22