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. Author manuscript; available in PMC: 2021 Jun 1.
Published in final edited form as: J Pharmacokinet Pharmacodyn. 2020 Apr 22;47(3):199–218. doi: 10.1007/s10928-020-09684-2

Table 5.

Power of the NPDE-based model evaluation approach (negative-control simulation study)

Number of Subjects Samples per Subject Total Samples Iterationsa P-value (μNPDE)b P-value (NPC)c
5 3 15 446 0.43 0.735
10 3 30 485 0.79 0.973
20 3 60 492 0.98 1
30 3 90 495 1 1
5 6 30 487 0.511 0.891
10 6 60 498 0.869 0.998
20 6 120 500 0.996 1
30 6 180 499 1 1
5 9 45 497 0.503 0.942
10 9 90 499 0.866 0.998
20 9 180 499 0.984 1
30 9 270 499 1 1

μNPDE, mean of normalized prediction distribution errors; NPC, numerical predictive check

a

Iterations (out of 500) where the standard deviation of NPDE were not optimized to within ±0.01 of the target value (i.e., 1) by the developed fitting algorithm were excluded from the analysis.

b

Power of the NPDE-based model evaluation approach. Computed as the proportion of iterations where the μNPDE was statistically different than 0 (p-value<0.05; two-sided Student’s t-test).

c

Power of the conventional evaluation approach. Computed as the proportion of iterations where the proportion of observed data exceeding the model’s 90% prediction interval was statistically > 0.10 (p-value < 0.05; exact binomial test)