Survey Sampling Methodology in Latvia
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1 Survey Sampling Methodology in Latvia Mārtiņš Liberts Central Statistical Bureau of Latvia 8 12 December 2013 Mārtiņš Liberts (CSB) 1 / 40
2 Content Introduction Software Sampling Design Non-response and Weighting Imputation Sampling Errors Organisation of Methodological Work Mārtiņš Liberts (CSB) 2 / 40
3 Content Introduction Software Sampling Design Non-response and Weighting Imputation Sampling Errors Organisation of Methodological Work Mārtiņš Liberts (CSB) 3 / 40
4 Central Statistical Bureau of Latvia Established on the 1st September 1919 Incorporation in statistical system of Soviet Union 1945 Independence regained in employees at the beginning of 2013 The main provider of the official statistics in Latvia Survey methodology is used since 90-ties. Mārtiņš Liberts (CSB) 4 / 40
5 Mathematical Support Division Survey methodology is applied in centralised manner Mathematical Support Division is responsible for: Sampling design and sampling Weighting of survey data Imputation (only for social surveys) Precision estimation (sampling errors) Mārtiņš Liberts (CSB) 5 / 40
6 Mathematical Support Division Survey methodology is applied in centralised manner Mathematical Support Division is responsible for: Sampling design and sampling Weighting of survey data Imputation (only for social surveys) Precision estimation (sampling errors) Time series analyses: Seasonal adjustment Short term forecasting Training of the CSB staff Mārtiņš Liberts (CSB) 5 / 40
7 Content Introduction Software Sampling Design Non-response and Weighting Imputation Sampling Errors Organisation of Methodological Work Mārtiņš Liberts (CSB) 6 / 40
8 Software Used for Survey Methodology SPSS Sampling Weighting Imputation R ( RStudio ( Sampling Weighting, calibration Imputations Sampling error estimation Demetra+, JDemetra+ Seasonal Adjustment Mārtiņš Liberts (CSB) 7 / 40
9 R examples Sampling Calibrations function dom_optimal_allocation Jānis Jukāms, Central Statistical Bureau of Latvia package sampling function calib Yves Tillé and Alina Matei (2012). sampling: Survey Sampling. R package version Sampling error estimation package vardpoor function vardom Juris Breidaks, Mārtiņš Liberts (2013) Central Statistical Bureau of Latvia Mārtiņš Liberts (CSB) 8 / 40
10 R examples Sampling error estimation package vardpoor function vardom Juris Breidaks, Mārtiņš Liberts (2013) Central Statistical Bureau of Latvia Mārtiņš Liberts (CSB) 9 / 40
11 Mārtiņš Liberts (CSB) 10 / 40
12 Mārtiņš Liberts (CSB) 11 / 40
13 Content Introduction Software Sampling Design Non-response and Weighting Imputation Sampling Errors Organisation of Methodological Work Mārtiņš Liberts (CSB) 12 / 40
14 Sampling Frame in Household Surveys Source: Statistical Dwelling Register Population Register Building Register Address Register other Output for sampling: List of census counting areas List of dwellings List of persons Mārtiņš Liberts (CSB) 13 / 40
15 Sampling in Household Surveys Sampling design depends on mode of survey: Paper assisted personal interviews (PAPI) Computer assisted personal interviews (CAPI) Computer assisted telephone interviews (CATI) Computer assisted web interviews (CAWI) CAPI is a traditional mode The usage of CATI is increasing CAPI or CAPI/CATI are the most common modes CAWI was used in the last population census (2011) Mārtiņš Liberts (CSB) 14 / 40
16 Sampling in Household Surveys There are travelling costs if CAPI is used We want to minimize / optimise the travelling costs Two-stage sampling design is used: Sampling of (census counting) areas is used in the 1st stage Sampling of dwellings or individuals is used in the 2nd stage This allows to reduce / control travelling costs Mārtiņš Liberts (CSB) 15 / 40
17 Sampling in Household Surveys There are travelling costs if CAPI is used We want to minimize / optimise the travelling costs Two-stage sampling design is used: Sampling of (census counting) areas is used in the 1st stage Sampling of dwellings or individuals is used in the 2nd stage This allows to reduce / control travelling costs Attention: The sampling errors tend to increase because of a clustering effect Mārtiņš Liberts (CSB) 15 / 40
18 Sampling in Household Surveys (other designs) Stratified simple random sampling (SSRS) Survey on doctoral degree holders (very small population) Two-stage sampling for CAPI and SSRS for CATI European Health Survey (2014) Mārtiņš Liberts (CSB) 16 / 40
19 Sampling Frame in Economic Surveys Source: Statistical Business Register State Business Register State Revenue Service (tax office) other Output for sampling: List of active enterprises and organisations Mārtiņš Liberts (CSB) 17 / 40
20 Sampling in Economic Surveys CAWI (e-questionnaire) is the most common mode postal surveys call back is used in all cases if necessary Mārtiņš Liberts (CSB) 18 / 40
21 Sampling in Economic Surveys CAWI (e-questionnaire) is the most common mode postal surveys call back is used in all cases if necessary Remark: There are no travelling costs Mārtiņš Liberts (CSB) 18 / 40
22 Sampling in Economic Surveys Stratified simple random sampling is used in most cases Stratification variables: Size groups (size measured by turnover, number of employees) Economic activity branch (NACE classification) Type of unit Region Optimal sample allocation for each domain (R procedure) Mārtiņš Liberts (CSB) 19 / 40
23 Sampling in Economic Surveys (Other Designs) Two stage sampling for the Survey on Employees: Units (enterprises or local units) sampled in the first stage Employees sampled in the second stage Mārtiņš Liberts (CSB) 20 / 40
24 Sampling Frame in Agriculture Surveys Source: Statistical Farm Register State Land Service Farming Land Register Animal Register other Output for sampling: List of active farms Mārtiņš Liberts (CSB) 21 / 40
25 Sampling in Agriculture Surveys CAWI (e-questionnaire) is used as the first mode CAPI is used as the second mode Mārtiņš Liberts (CSB) 22 / 40
26 Sampling in Agriculture Surveys CAWI (e-questionnaire) is used as the first mode CAPI is used as the second mode Remark: There are travelling costs (in CAPI mode) Mārtiņš Liberts (CSB) 22 / 40
27 Sampling in Agriculture Surveys Stratified simple random sampling is used in most cases Stratification variables: Size groups (size measured by land area, economic size) Specialisation Region Mārtiņš Liberts (CSB) 23 / 40
28 Content Introduction Software Sampling Design Non-response and Weighting Imputation Sampling Errors Organisation of Methodological Work Mārtiņš Liberts (CSB) 24 / 40
29 Weighting in Household Surveys Usual scheme: Design weights according to sampling design (computed during sampling) Non-response correction by response homogeneity groups Trimming of extreme weights (optional) Calibration of weights to external information (population counts) Function calib() from the sampling package (R) Mārtiņš Liberts (CSB) 25 / 40
30 Weighting in Household Surveys (Other Cases) Cross-sectional and longitudinal weighting for European Survey on Income and Living Conditions (EU-SILC) Mārtiņš Liberts (CSB) 26 / 40
31 Weighting in Economic and Agriculture Surveys Usual scheme: Design weights according to sampling design (computed during sampling) Usually population frame is updated (sampling frame and weighting frame) Weighting to population counts: Number raised estimator in each stratum Calibration of weights Mārtiņš Liberts (CSB) 27 / 40
32 Content Introduction Software Sampling Design Non-response and Weighting Imputation Sampling Errors Organisation of Methodological Work Mārtiņš Liberts (CSB) 28 / 40
33 Imputation in Household Surveys Usually imputation is done for income variables Methods: Randomised hot-deck imputation in groups Nearest neighbour (distance function) imputation Regression: Linear regression Interval regression Mārtiņš Liberts (CSB) 29 / 40
34 Imputation in Economic and Agriculture Surveys Done by subject matter unit (decentralised) Case specific (large enterprises are heterogeneous) Imputation using: Administrative records Historical data Mārtiņš Liberts (CSB) 30 / 40
35 Content Introduction Software Sampling Design Non-response and Weighting Imputation Sampling Errors Organisation of Methodological Work Mārtiņš Liberts (CSB) 31 / 40
36 Estimation of Sampling Error Common procedure for all surveys Written as an R procedure function vardom from package vardpoor Main steps of the procedure: Domain variables are generated for domain estimates { yi if i D y i,d = d 0 if i / D d Linearised variables are computed for non-linear statistics (ratio of two totals, Gini index,...) Residuals from the regression model are estimated if weight calibration is applied Ultimate cluster variance estimator (Hansen, Hurwitz and Madow, 1953) Mārtiņš Liberts (CSB) 32 / 40
37 Ultimate cluster variance estimator Ultimate cluster variance estimator (Hansen, Hurwitz and Madow, 1953) Osier (2012) The Linearisation Approach Implemented by Eurostat for The First Wave of EU-SILC: What Could Be Done from The Second Wave Onwards? ( ˆV ˆΘ) = H h=1 ( 1 n ) h nh N h n h 1 m hi n h (z hi z h ) 2 i=1 z hi = ω hij z hij z h = j=1 nh i=1 z hi n h Mārtiņš Liberts (CSB) 33 / 40
38 Input for vardom Y study variables H stratification PSU ID of primary sampling units w_final final weight Dom domain variables N_h PSU population size in each stratum Z denominator variables (for ratio) X calibration variables g calibration factor (g-weight) Mārtiņš Liberts (CSB) 34 / 40
39 Output from vardom estim parameter estimator var variance se standard error cv coefficient of variation CI_lower the lower bound if confidence interval CI_upper the upper bound if confidence interval deff design effect Mārtiņš Liberts (CSB) 35 / 40
40 Content Introduction Software Sampling Design Non-response and Weighting Imputation Sampling Errors Organisation of Methodological Work Mārtiņš Liberts (CSB) 36 / 40
41 Organisation of Household Surveys Information Technology Division updates the Statistical Dwelling Register (SDR) Mathematical Support Division (MSD) extracts information from SDR to build the sampling frame (SPSS syntax) MSD creates sample file Sample file is sent to: Interview Organisation Division Employment Statistics Division (Labour Force Survey) Income Statistics Division (Survey on Income and Living Standards) Mārtiņš Liberts (CSB) 37 / 40
42 Organisation of Economic Surveys Business Register Division (BRD) updates the Statistical Business Register Mathematical Support Division (MSD) receives a file from BRD with active units (enterprises, organisations) MSD creates sample file Sample file is sent to subject matter divisions Mārtiņš Liberts (CSB) 38 / 40
43 Organisation of Agriculture Surveys Information Technology Division (ITD) updates the Statistical Farm Register Mathematical Support Division (MSD) receives a file from ITD with active farms MSD creates sample file Sample file is sent to Agriculture Statistics Division Mārtiņš Liberts (CSB) 39 / 40
44 Thank you! Mārtiņš Liberts (CSB) 40 / 40
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