2006 August 24-28

Labour statistics

The usage of administrative data sources for Lithuanian data of earnings

Milda Šličkutė-Šeštokienė

Statistics Lithuania

2006 August 24-28

Labour statistics

Annual data calculated:

Until 2003 on the basis of complete enumeration of enterprises;

From 2004 on the basis of sample Quarterly Survey of Earnings (QSE) and data of Social Insurance.

The main reasons why two surveys with the same definitions used to be performed are the following:

Quarterly data is very important at national level;

Too detailed breakdown of annual data requires census of enterprises.

2006 August 24-28

Labour statistics

Distribution of coefficients of correlation, in percent

Variables in SI

Bands of

coeff. of corr.

Variables in QSE

Average number of employees

Average number of full-time

units

Gross remune- ration

Hours worked

Hours paid

Number insured persons

< 0.8 0.0 0.0 3.1 0.0 0.0

0.8 – 0.9 0.0 1.6 29.7 1.6 1.6

0.9 – 1.0 100.0 98.4 67.2 98.4 98.4

Taxable income

< 0.8 2.3 1.6 0.0 0.8 3.9

0.8 – 0.9 26.6 19.5 0.0 21.9 19.5

0.9 – 1.0 71.1 78.9 100.0 77.3 76.6

Days worked

< 0.8 0.0 0.0 2.3 0.0 0.0

0.8 – 0.9 0.0 0.0 28.1 0.0 0.8

0.9 – 1.0 100.0 100.0 69.5 100.0 99.2

2006 August 24-28

Labour statistics

GREG estimator chosen for calculation of annual results 2004 are expressed by the formula:

where i – sample; – calibrated weight of k-th enterprise; – variable of interest in k-th enterprise; – sample design weights of k-th element.

is expressed by the formula:

where:

– vector of auxiliary information; ;

i i

ˆk k

kkkkkwygdywt

k

1

iiik

ix

xxxxt1

i

ik

kkddg

ky kw

kd

kg

kx

N

kkxxt

1

2006 August 24-28

Labour statistics

Auxiliary variables analyzed:

Number of insured persons;

Gross remuneration;

Days worked.

Levels of auxiliary information analyzed:

NACE at section level;

NACE at section level & county.

Total 14 GREG estimators were calculated (7 combinations of 3 auxiliary variables multiplied by 2 levels of auxiliary information).

2006 August 24-28

Labour statistics

Breakdowns required for Annual Survey of Earnings:

NACE (two digits or sometimes even more detailed) & economic sector (total 49 economic activities and 2 economic sectors), it is also the breakdown of QSE;

NACE (section level) & size of enterprise & economic sector (total 15 economic activities, 6 sizes of enterprise and 2 economic sectors);

NACE (section level) & county (total 15 economic activities and 10 counties);

Municipality (total 60 municipalities).

Total 488 partly overlapping domains are required. The main problem is breakdown by regions because the quarterly survey does not aim at getting the data which represent regional unit.

2006 August 24-28

Labour statistics

Concise notations of different GREG estimators:

Notation

G1, G8

G2, G9

G3, G10

G4, G11

G5, G12

G6, G13

G7, G14

Auxiliary information used

Number of employees

Taxable income

Days worked

Number of employees and taxable income

Number of employees and days worked

Taxable income and days worked

All variables

G1 – G7 refer to auxiliary information at NACE section level;G8 – G14 refer to auxiliary information at NACE section level &

county;

2006 August 24-28

Labour statistics

Distribution of weights gi

for different GREG estimators 2004, in per cent

gi   G1 G2 G3 G4 G5 G6 G7 G8 G9 G10 G11 G12 G13 G14

0.4 and less  0 0 0 0 0 0 0 2 2 67 3 4 65 5

[0.4; 0.8)  1 0 1 1 1 1 1 7 7 11 8 8 11 9

[0.8; 1.2)  97 97 97 96 95 96 94 59 59 7 56 54 7 52

[1.2;1.6)   2 2 2 3 3 3 4 26 26 7 26 25 8 25

1.6 and more  0 0 0 0 0 0 0 6 6 8 7 9 9 10

Distribution of coefficients of variation for different GREG estimators 2004, in per cent

CV HT G1 G2 G3 G4 G5 G6 G7 G8 G9 G10 G11 G12 G13 G14

[0; 5) 44 44 44 44 44 43 44 44 70 63 83 82 75 88 86

[5; 10) 16 15 14 15 14 15 13 14 14 18 8 7 11 6 5

[10; 30) 26 26 26 26 27 27 26 26 11 13 6 7 10 3 5

30 and > 15 16 16 16 16 15 16 16 5 6 3 4 4 4 4

2006 August 24-28

Labour statistics

Distribution of Statistical Estimates by size of the coefficient of correlation (CV) 2004

CV All variables Average number of employees

GREG HT GREG HT

Mean 9.8 14.4 7.0 18.5

Median 2.5 6.8 1.9 11.9

[0; 5) 70.1 43.7 76.7 32.4

[5; 10) 13.5 15.5 10.0 14.8

[10; 30) 11.4 25.7 8.1 31.4

[30; 50) 1.2 9.5 1.0 13.3

[50; 100) 3.7 5.6 4.3 8.1

2006 August 24-28

Labour statistics

Deviation of estimates of Average Number of Employees 2003 compare to the figures from Annual Survey on Earnings, in %

0

10

20

30

40

50

60

Nu

mb

er o

f es

tim

ates

, in

%

[0; 5] (5; 10] (10; 20] (20; 50] 50 and >

Interval of deviation

GREG HT

2006 August 24-28

Labour statistics

Average number of full-time units

0

10

20

30

40

50

60

70

Nu

mb

er

of

sta

tis

tic

al

es

tim

ate

in

pe

r c

en

t

[0; 3] (3; 5] (5;10]

(10;30]

(30;100]

[0; 3] (3; 5] (5;10]

(10;30]

(30;100]

Interval of coefficient of variation

GREG HT

Average number of employees

Distribution of Statistical Estimates by size of the Coefficient of Variation (CV) 2004

2006 August 24-28

Labour statistics

0

5

10

15

20

25

30

35

40

Nu

mb

er

of

sta

tis

tic

al

es

tim

ate

in p

er

ce

nt

[0; 3] (3; 5] (5; 10] (10; 30] (30; 100]

Interval of coefficient of variation

GREG HT

Distribution of Statistical Estimates for Average Monthly Gross Earnings by size of the coefficient of variation (CV) 2004

2006 August 24-28

Labour statistics

Improvement foreseen for annual data 2005:

The auxiliary variables should be used to fix the totals in the enterprise size groups;

Maybe gross remuneration also should be used as auxiliary information;

Regression imputation may be implemented.

2006 August 24-28

Labour statistics

Usage of data of Social Insurance for other purpose than annual data of earnings:

From 2006 - estimation of data for small enterprises (9 and less employees) in QSE;

Planed for estimation for QSE;

Planed for SES 2006;

Planed for Labour Cost survey 2008.

2006 August 24-28

Labour statistics

Burden diminished for enterprises because of usage of administrative sources:

Rejection of Annual Survey of Earnings: about 40 000 enterprises and 21 variable, once per year;

Rejection of collecting data from small enterprises (4 or less employees) in QSE: about 1300 enterprises and 35 variables, every quarter;

Future plans to use administrative sources for SES 2006: 4 variables will be dropped, sample size in this survey approximately 8 000 local units and 150 000 employees, every four year.

2006 August 24-28

Labour statistics

Thank you for your attention !