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Past exam of the mathematics course of the University of Cambridge
/
2021
/
iii
/
Paper 207
/
3
/
b
/
iv
/
Solution
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2021
iii
Paper 207
3
b
iv
2026-09-28
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The trial
uses
N
1
observations
per arm if it stops at the
first
analysis
and
N
2
if it continues. Since
Z
1
∼
N
(
δ
I
1
,
1
)
,
P
δ
(
continue
)
=
Φ
(
e
1
−
δ
I
1
)
−
Φ
(
f
1
−
δ
I
1
)
.
(1)
Therefore the expected per-arm
sample size
is
E
δ
N
=
N
1
+
(
N
2
−
N
1
)
{
Φ
(
e
1
−
δ
I
1
)
−
Φ
(
f
1
−
δ
I
1
)
}
.
(2)
Ancestors
(12)
iv
b
3
Paper 207
iii
2021
Past exam of the mathematics course of the University of Cambridge
Mathematics course of the University of Cambridge
Course of the University of Cambridge
University of Cambridge
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