In the framework of application of the off-the-shelf methodologies laid down in this Delegated Regulation, a single extrapolation method, ratio estimation, applies for SRS referred to in Article 5(1), point (b) and equal probability selection referred to in Article 6(1), point (b), for the purpose of simplification and legal certainty.
This does not limit the application of other extrapolation methods by the audit authorities under Article 79 of Regulation (EU) 2021/1060.
n1
n2
H1
EEe ¼ ∑i¼1 E1i þ ∑i¼1 E2i
n1
nh2
For the non-exhaustive strata, the projected error is:
n2
H1 h¼1 BVh1 ×
EEs ¼ ∑
2
nh1
nh2
∑i¼1 Ei þ ∑H BV × ∑i¼1 Ei 1 n n h2 h¼1 ∑i¼1 BVi ∑i¼1 BVi 2
h1
h2
The projected error at the level of population is the sum of the two components above.
The projected error at the level of population is the sum of the two components above.
Sampling precision:
Sampling precision: ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi� ffiffiffi s� s2q1 s2q2 2 2 SE ¼ z× N1 × þ N2 × n1 n2
sffiffiffiffiffiffiffiffiffiffiffi� ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi� ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi� ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi� ffiffiffi H1 H2 N2h1 2 N2h2 2 þ ∑h¼1 :s :s SE ¼ z× ∑h¼1 nh1 qh1 nh2 qh2
nt
∑ E qti ¼ Eti  –  ni¼1 ti ×BVti ∑i¼1 BVti
nht
t
Precision is exclusively calculated with data pertaining to the non-exhaustive strata.
qiht ¼ Eiht  –
∑i¼1 Eih ×BV : n iht ∑i¼1 BVih ht
Official Journal of the European Union
∑i¼1 E1i þ BV × ∑i¼1 E2i n n 2 ∑i¼1 BV1i ∑i¼1 BV2i 1
H2
EEe ¼ ∑h¼1 ∑i¼1 Eh1i þ ∑h¼1 ∑i¼1 Eh2i
For the non-exhaustive strata, the projected error is: EEs ¼ BV1 ×
nh1
EN
Projected/extrapolated error (SRS/equal probability selection): Projected/extrapolated error (SRS/equal probability selection): If an exhaustive stratum is used, the projected error in this group is the sum If an exhaustive stratum is used, the projected error is the sum of the errors found in the units belonging to of the errors found in the units belonging to the strata: the strata:
10.1.2023
Extrapolation of errors
Precision is exclusively calculated with data pertaining to the non-exhaustive strata.
L 7/19