10.1.2023
Extrapolation of errors
EN
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.
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 If an exhaustive stratum is used, the projected error in this group is the sum of the errors found in the units the sum of the errors found in the units belonging to the stratum: belonging to those groups: ne
EEe ¼ ∑i¼1 Ei For the random stratum the projected error is
H
n
EEs ¼ BV×
∑i¼1 Ei n ∑i¼1 BVi
EEs ¼ ∑
H h¼1 BVh ×
nh
∑i¼1 Ei n ∑i¼1 BVi h
The projected error at the level of population is the sum of the two The projected error at the level of population is just the sum of these two components above: components above: EE ¼ EEe þ EEs
Sampling precision:
EE ¼ EEe þ EEs
Sampling precision: s SE ¼ N×z× pqffiffi n
where sq is the sample standard deviation of the variable q: n
∑ E qi ¼ Ei  –  ni¼1 i ×BVi : ∑i¼1 BVi Precision is exclusively calculated with data pertaining to the nonexhaustive strata.
s SE ¼ N×z× pqwffiffi n
Official Journal of the European Union
For the random strata the projected error is
nh
EEe ¼ ∑h¼1 ∑i¼1 Ehi
where H
s2qw ¼ ∑h¼1
Nh 2 s N qh
is a weighted mean of the sample variances of the variable qh, with nh
∑ E qih ¼ Eih  –  ni¼1 ih ×BVih : ∑i¼1 BVih h
Precision is exclusively calculated with data pertaining to the non-exhaustive strata.
L 7/17