Type I Error (nominal α0.05) - BEBACbebac.at/lectures/Amsterdam2018-1.pdf · The Global...

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Session I: Scaling procedure and adaptive design(s) • Discussion [Schütz and Labes]The Global Bioequivalence Harmonisation Initiative

Type I Error (nominal α 0.05)Since in reference-scaling BE-limits are random variables, the patient’s risk might be compromisedABEL (EMA)• Example: 4-period 2-sequence full replicate design

60%50%40%30%20%0.000.020.040.050.060.080.10

60%50%40%30% CVwR20%0.000.020.040.050.060.080.10

120100 80 60 60%50% 40 40%30% CVwR 20 20%0.000.020.040.050.060.080.10

120100 80n 60 60%50% 40 40%30% CVwR 20 20%0.000.020.040.050.060.080.10

1200.020.040.060.080.10

0.05

100 80n 60 60%50% 40 40%30% CVwR 20 20%0.000.020.040.050.060.080.10

1200.020.040.060.080.10

0.05TIEemp

100 80n 60 60%50% 40 40%30% CVwR 20 20%0.000.020.040.050.060.080.10

1200.020.040.060.080.10

0.05TIEemp

100 80n 60 60%50% 40 40%30% CVwR 20 20%0.000.020.040.050.060.080.10

RSABE (FDA)

60%50%40%30%20%0.000.050.100.150.200.25

60%50%40%30% CVwR20%0.000.050.100.150.200.25

120100 80 60 60%50% 40 40%30% CVwR 20 20%0.000.050.100.150.200.25

120100 80n 60 60%50% 40 40%30% CVwR 20 20%0.000.050.100.150.200.25

1200.050.100.150.200.25

0.05100 80n 60 60%50% 40 40%30% CVwR 20 20%

0.000.050.100.150.200.25

1200.050.100.150.200.25

0.05TIEemp

100 80n 60 60%50% 40 40%30% CVwR 20 20%0.000.050.100.150.200.25

1200.050.100.150.200.25

0.05TIEemp

100 80n 60 60%50% 40 40%30% CVwR 20 20%0.000.050.100.150.200.25

Session I: Scaling procedure and adaptive design(s) • Discussion [Schütz and Labes]The Global Bioequivalence Harmonisation Initiative

Type I Error (iteratively adjusted α)Proposed alternative:Decreasing the level of the test in the critical region (CVwR, n)• Example cont’dABEL (EMA) RSABE (FDA)

60%50%40%30%20%0.000.020.040.050.060.080.10

60%50%40%30% CVwR20%0.000.020.040.050.060.080.10

120100 80 60 60%50% 40 40%30% CVwR 20 20%0.000.020.040.050.060.080.10

120100 80n 60 60%50% 40 40%30% CVwR 20 20%0.000.020.040.050.060.080.10

1200.020.040.060.080.10

0.05

100 80n 60 60%50% 40 40%30% CVwR 20 20%0.000.020.040.050.060.080.10

1200.020.040.060.080.10

0.05TIEemp

100 80n 60 60%50% 40 40%30% CVwR 20 20%0.000.020.040.050.060.080.10

1200.020.040.060.080.10

0.05TIEemp

100 80n 60 60%50% 40 40%30% CVwR 20 20%0.000.020.040.050.060.080.10

60%50%40%30%20%0.000.050.100.150.200.25

60%50%40%30% CVwR20%0.000.050.100.150.200.25

120100 80 60 60%50% 40 40%30% CVwR 20 20%0.000.050.100.150.200.25

120100 80n 60 60%50% 40 40%30% CVwR 20 20%0.000.050.100.150.200.25

1200.050.100.150.200.25

0.05100 80n 60 60%50% 40 40%30% CVwR 20 20%

0.000.050.100.150.200.25

1200.050.100.150.200.25

0.05TIEemp

100 80n 60 60%50% 40 40%30% CVwR 20 20%0.000.050.100.150.200.25

1200.050.100.150.200.25

0.05TIEemp

100 80n 60 60%50% 40 40%30% CVwR 20 20%0.000.050.100.150.200.25

Session I: Scaling procedure and adaptive design(s) • Discussion [Schütz and Labes]The Global Bioequivalence Harmonisation Initiative

Backup slide (iteratively adjusted α)Proposed alternative:Decreasing the level of the test in the critical region (CVwR, n)• Example cont’dABEL (EMA) RSABE (FDA)

60%50%40%30%20%0.000.010.020.030.040.05

60%50%40%30% CVwR20%0.000.010.020.030.040.05

120100 80 60 60%50% 40 40%30% CVwR 20 20%0.000.010.020.030.040.05

120100 80n 60 60%50% 40 40%30% CVwR 20 20%0.000.010.020.030.040.05

1200.010.020.030.040.050.05

100 80n 60 60%50% 40 40%30% CVwR 20 20%0.000.010.020.030.040.05

1200.010.020.030.040.050.05

αadj

100 80n 60 60%50% 40 40%30% CVwR 20 20%0.000.010.020.030.040.05

1200.010.020.030.040.050.05

αadj

100 80n 60 60%50% 40 40%30% CVwR 20 20%0.000.010.020.030.040.05

60%50%40%30%20%0.000.010.020.030.040.05

60%50%40%30% CVwR20%0.000.010.020.030.040.05

120100 80 60 60%50% 40 40%30% CVwR 20 20%0.000.010.020.030.040.05

120100 80n 60 60%50% 40 40%30% CVwR 20 20%0.000.010.020.030.040.05

1200.010.020.030.040.050.05

100 80n 60 60%50% 40 40%30% CVwR 20 20%0.000.010.020.030.040.05

1200.010.020.030.040.050.05

αadj

100 80n 60 60%50% 40 40%30% CVwR 20 20%0.000.010.020.030.040.05

1200.010.020.030.040.050.05

αadj

100 80n 60 60%50% 40 40%30% CVwR 20 20%0.000.010.020.030.040.05