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Comparing different weighting
        procedures for
    volunteer online panels


        Stephanie Steinmetz
          and Kea Tijdens

AIAS Lunch Seminar, 1. October 2009



                        erasmus studio
Outline


Background
Sources of errors in ((volunteer) web) surveys
Weighing - a solution?
Example for the German and Dutch WageIndicator data
Results
Conclusion and Outlook
Background

Increasing importance of web surveys
   Germany: between 2000 und 2007 from 3% to 27% (ADM, 2007)

Advantages
time and cost reduction, interactivity, flexibility,
‘worldwide’ coverage, no interviewer influence
Disadvantages
Representativeness?     To what degree are
(volunteer) web survey results representative of the
general public?
Types of web surveys (see Couper, 2000)

Sample selection is
  probability based = representative
  - intercept surveys,
  - online access panels,
  - mixed-mode surveys

  not probability based = representative?
  - entertainment surveys
  - self-selected web surveys
  - volunteer online panels
Sources of error

   Combination of causes
1 (Non)Coverage: number of people having internet access +
  differences between the persons with and without internet
  access.

2 Sampling/Self-selection: no comprehensive list of Internet
  users to draw probability-based sample + people with specific
  characteristics participate in a volunteer online panel.

3 Non-response: Not all persons finish the questionnaire,
  people with specific characteristics might have a higher non-
  response.
+ measurement, processing and adjustment errors
Weighting - a possible solution?

Weighting       is a mean to correct subsequently for
systematic survey errors and to adjust the sample to the
target population.

Expectation disappearance of significant differences
between web survey & random reference survey.
☺ = web survey data can be adjusted to be representative
    of general public.
  = persistence of differences due to other error sources,
    like measurement and processing errors
Solution: Post-stratification weighting

Aim: Adjustment for demographic under- and over-
     representations between sample and target
     population
Method: %population (reference          data)    / %sample   (web)   =
        weighting coefficient
Findings: Necessary but has a rather limited impact
(Vehovar et al. 1999, Loosvelt and Sonck 2008)
     corrects for proportionality but not necessarily
    for representativeness of substantive answers
...but

Previous research comparing web and traditional
methods
  Significant differences can be observed for web
  respondents. They...
  – are more intensive users of the Internet, more
    technically-oriented (Bandilla et al. 2003; Vehovar et al. 1999)
  – have a larger social trust & a greater subjective control
    over their lives (Lenhart et al. 2003)
  – are more politically and socially active (Duffy et al. 2005)
Solution:
    Propensity Score Adjustment (PSA)

Origin: experimental studies     (Rosenbaum & Rubin, 1983)

Aim: to correct for differences due to the varying
     inclination to participate in web surveys
      (Harrison Interactive).

Findings: Mixed (Taylor 2005; Bethlehem & Stoop 2007)
- some differences disappeared by demographic
  weighting,
- some only after additional PSA, and
- others continued to exist or become even larger
PSA - method (see Schonlau et al. 2009)

Web and probability-based reference survey are
combined in one data file
Logistic regression of people’s probability to
participate in the web survey given demographic
and/or attitudinal variables estimation of PS
Make distribution of these propensity scores similar
for web survey and random sample = calculation of
weight wpsi (1/ psi if W = 1 (in the web survey), and 1/(1-psi) if
W = 0 (in the reference survey))
web survey and random sample do not differ
significantly for selected variables included in the PS
Example - the WageIndicator data

Web surveys: German and Dutch WageIndicator
data, year 2006, employees, age 16-75, cross
monthly income 400€-10000€ (Dutch net hourly
income)
   NGerman= 21914
   NDutch = 8015

Reference surveys: Same restrictions
Germany (GSOEP, 2006) N= 7993
Netherlands (OSA, 2006)    N= 2019
Selection bias - socio-demographics

                      Germany                                                             Netherlands
                               LS SOEP                                                                 LW OSA

100                                                                      100
80                                                                       80
60                                                                       60
40                                                                       40
20                                                                       20
 0                                                                        0
                      low




                                                                                               low
                               medium




                                                                                                        medium
                                        high




                                                                                                                 high
                                               16-34

                                                         35-44

                                                                 45-75




                                                                                                                        16-34

                                                                                                                                  35-44

                                                                                                                                          45-75
              women




                                                                                       women
      men




                                                                               men

        sex                 education                  cohort                    sex                 education                  cohort
Selection bias - Labour markert

                       Germany                                                 Netherlands
                               LS   SO P
                                      E
                                                                                         LW OSA

100
                                                                100
80                                                              80
                                                                60
60
                                                                40
40
                                                                20
20                                                               0
                                                                      manual    non     full    part   below above
 0                                                                             manual
      manual    nonmanual   full       part   below     above

          occupation          workingtime      unemployment             occupation      working time   unemployment
Selection bias - satisfaction

                      Germany                                                Netherlands
                            LS S EP
                                O                                                      LW O A
                                                                                           S


100                                                          100
80                                                           80

60                                                           60

40                                                           40
20                                                           20

 0                                                            0
      not satisfied    satisfied not satisfied   satisfied         not satisfied satisfied not satisfied satisfied

          health satisfaction          jobsatisfaction                health satisfaction       jobsatisfaction
Summary

  Similarities: underrepresentation of
   women, people between 45 und 75, part-timers,
   persons from regions with high unemployment,
   unsatisfied people
  Differences: underrepresentation of
   DE: highly educated, manual workers
   NL: low and medium educated, non-manual workers

   Two possible solutions
a) Post-stratification weighting
b) PSA
Weights

A) 6 post-stratification weights:
W1= gender (2), education (2) and cohort (2)
W2= gender (2), education (2), cohort (2) and part time (2)
W3= gender (2), education (2), cohort (2) and nonmanual (2)
W4= gender (2), education (2), cohort (2), part time (2) and jobsat
W5= gender (2), education (2), cohort (2), nonmanual (2) and jobsat
W6= part(2) and jobsat(2)

B) 4 PSA weights
PS1 = treat women edu2 coh2 nonman part perm nojob logwagemo
PS2 = treat women edu2 coh2 nonman part perm nojob logwagemo +
      healthsat
PS3 = treat women edu2 coh2 nonman part perm nojob logwagemo +
      jobsat
PS4 = treat women edu2 coh2 nonman part perm nojob logwagemo +
      healthsat jobsat
Results: Germany – Mean income

                     Diff   Diff1   Diff2   Diff3     Diff4   Diff5     Diff6   PS1   PS2     PS3   PS4

 PS4

 PS3

 PS2

 PS1

Diff6

Diff5

Diff4

Diff3

Diff2

Diff1

 Diff

        0€    50 €              100 €               150 €             200 €           250 €          300 €   350 €
Results: Germany – distributions

                                Diff   DiffW2      DiffW6    DiffPS1    DiffPS2

30


20


10


 0
      men   women   16-34   35-65+ lowmed medhigh manual nonman               full       part   dissat       sat
-10     Gender         Cohort          Education            Nonmanual             Part-time         Jobsat


-20


-30
Results: Germany - Income Regression
Results: NL – mean income

                  Diff    Diff1   Diff2     Diff3   Diff4      Diff5   Diff6   PS1   PS2     PS3   PS4

                                                                                      PS4

                                                                                      PS3

                                                                                      PS2

                                                                                      PS1

                                                                                     Diff6

                                                                                     Diff5

                                                                                     Diff4

                                                                                     Diff3

                                                                                     Diff2

                                                                                     Diff1

                                                                                      Diff

-0,6 €   -0,5 €          -0,4 €           -0,3 €            -0,2 €         -0,1 €          0,0 €         0,1 €   0,2 €
Results: NL - distributions

40

30

20

10

 0
      men   women   16-34   35-65+    lowmed medhigh manual nonman         full     part   dissat       sat
-10
        Gender         Cohort            Education       Nonmanual           Part-time         Jobsat
-20

-30

-40

                            Diff     DiffW1   DiffW2   DiffW3   DiffPS1   DiffPS3
Results: Netherlands - Income
Regression
Conclusion

Impact weighting
Both weighting methods show no substantial impact
Moreover
- no consistency within weights
- for some weights differences become larger (?!)
- effect of weights differ between countries

    Weighting cannot improve representativeness of
   (volunteer) web surveys
Problems
- Reference surveys (also biased?), mode effects,
  unobservables (not measured)
Discussion

Possible solutions for representativeness:
  Improving weights through inclusion of more
   variables or advanced/mixed weighting procedures
  Only mixed-mode surveys (time and cost-reduction
  disappears)
   Non-representative use of web survey data
  (only for experiments or exploratory analysis)
OR
  questioning the definition of representativeness
 (content vs. methodological)
  survey quality ≠ absolute
Pa
          rtt
               im
                   e
     Fu               M
           llt          al
Pa             im          e
    rtt            e         15
                                 -2
         im Ma                      4
              e           le          yr




                                                       0%
                                                            2%
                                                                 4%
                                                                      6%
                                                                                                  8%
                                                                                                                                  10%
                                                                                                                                                                         12%
                                                                                                                                                                                                               14%
 Fu               Fe         15           hi
     llt
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                        al         4
              e            e          yr         er
  Fu              Fe         15           hi
       llt            m          -2           gh
           im           al          4
                e          e          yr         er
                   Fe 15-                 hi
      Pa               m          24          gh
            rtt          al                      er
                 im         e         yr
                     e         15         hi
                                              gh
      Pa               M          -2
            rtt          al          4           er
                            e           yr
  Fu ime                      25           lo
       llt                        -4           w
           im Ma
                           le        4           er
                e                       yr
   Pa              Fe         45           lo
                       m          -6           w
         rtt
              im         al          4           er
                   e        e           yr
                     M         45          lo
      Pa                          -6           w
            rtt        al
                          e          4           er
                             15         yr
  Fu ime                        -2         lo
       llt             M           4           w
           im            a            yr         er
 Pa e F le 1                             m
      rtt             em        5-           id
           im                      24          dl
                         al                       e
Fu              e           e           yr




                                                                           Telepanel_NL_% _2002
    llt            Fe          25          lo
        im             m          -4           w
             e           a           4           er
                  Fe le 1               yr
                     m                     lo

                                                                                                       WageIndicator_NL_% _2005
   Pa                           5-
         rtt           al          24          w
              im          e             yr
                                                 er
                             15
                                -2         lo
   Pa e M
                                   4           w
                                                                                                                                                                               World Value Survey_NL_% _1999




                       al
          rtt             e           yr         er
                                                                                                                                        Labour Force Survey_NL_% _2005




 Fu ime                      45          m
     llt              M         -6           id
         im             al         4            dl
                                                  e
                           e          yr
Fu e F
                    em 25-               m
    llt
        im                        44         id
                                               dl
             e          al
                           e          yr          e
                  Fe         45           hi
   Pa                m           -6           gh
         rtt           al
                          e         4            er
              im             45 yr h
   Pa e M                       -6          ig
          rtt          a           4           he
               im le 2                yr           r
                   e          5-         m
       Fu             M          44          id
                                                dl
Pa lltim e 4
                        al            yr          e
                                         m
   rtt               e         5-
        im             M          64 idd
                                                 le
             e           al
                            e         yr
                  F           15          hi
   Fu em                          -2          gh
          llt          al            4
              im          e             yr
                                                 er
 Pa                e         15
                                           lo
                     M          -2             w
      rtt
           im          al          4
                e         e           yr         er
Pa
                   Fe 15-                m
    rtt                                      id
         im            m         24            dl
              e          a            yr          e
 Pa               Fe le 2                m
      rtt             m         5-           id
                                               dl
           im           al
                           e
                                   44
                                                  e
Fu              e                       yr
    llt            Fe 45-                  l
        im             m          64 ow
             e           a            yr         er
 Fu               Fe le 4                 hi
     llt             m          5-            gh
         im            al          64
Pa            e           e             yr
                                                 er
                  Fe         25
   rtt                m         -4         lo
        im              al         4           w
             e                        yr         er
                  Fe e 2
                               5-        m
       Fu ma                      44 idd
                         le                      le
Pa lltim                     45 yr h
    rtt              e          -6          ig
         im            M           4           he
              e          a            yr           r
                  Fe le 4                m
       Fu             m         5-           id
                                   64          dl
             llt        al                        e
                 im e 2                 yr
                     e         5-
     Fu
           llt         M          44 low
                                                 er
               im ale                 yr
   Fu e M 25-                             hi
                                              gh
          ll            al         44            er
Pa tim                     e            yr
                   e         45
                                                                                                                                                                                                                     Representativness of surveys




   rtt               M           -6        lo
        im             al          4           w
             e            e                      er
                  Fe         45 yr h
     Fu              m          -6          ig
                       al          4           he
           llt
               im         e           yr           r
                             2           m
   Fu e M 5-4                                id
          llt                      4           dl
              im
                        al
                           e          y           e
                   e         25 r m
                     M           -4          id
                       al
                          e        4           dl
                                                  e
                             25 yr h
                                -4          ig
                                   4           he
                                      yr           r
                                         m
                                             id
                                               dl
                                                  e
Outlook

Comparison: more countries

Methods:
- Combination of different weighting
  techniques (see Lee & Valliant, 2009)

- Weighting with ‚better‘ reference survey and
  more webograhic variables (LISS panel=
  parallel survey, identical questionnaire + same mode)
The end

Thanks' for listening...
  ...questions ?
  ...comments and suggestions?

contact: steinmetz@fsw.eur.nl




                           erasmus studio

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Steinmetz Tijdens Aias09

  • 1. Comparing different weighting procedures for volunteer online panels Stephanie Steinmetz and Kea Tijdens AIAS Lunch Seminar, 1. October 2009 erasmus studio
  • 2. Outline Background Sources of errors in ((volunteer) web) surveys Weighing - a solution? Example for the German and Dutch WageIndicator data Results Conclusion and Outlook
  • 3. Background Increasing importance of web surveys Germany: between 2000 und 2007 from 3% to 27% (ADM, 2007) Advantages time and cost reduction, interactivity, flexibility, ‘worldwide’ coverage, no interviewer influence Disadvantages Representativeness? To what degree are (volunteer) web survey results representative of the general public?
  • 4. Types of web surveys (see Couper, 2000) Sample selection is probability based = representative - intercept surveys, - online access panels, - mixed-mode surveys not probability based = representative? - entertainment surveys - self-selected web surveys - volunteer online panels
  • 5. Sources of error Combination of causes 1 (Non)Coverage: number of people having internet access + differences between the persons with and without internet access. 2 Sampling/Self-selection: no comprehensive list of Internet users to draw probability-based sample + people with specific characteristics participate in a volunteer online panel. 3 Non-response: Not all persons finish the questionnaire, people with specific characteristics might have a higher non- response. + measurement, processing and adjustment errors
  • 6. Weighting - a possible solution? Weighting is a mean to correct subsequently for systematic survey errors and to adjust the sample to the target population. Expectation disappearance of significant differences between web survey & random reference survey. ☺ = web survey data can be adjusted to be representative of general public. = persistence of differences due to other error sources, like measurement and processing errors
  • 7. Solution: Post-stratification weighting Aim: Adjustment for demographic under- and over- representations between sample and target population Method: %population (reference data) / %sample (web) = weighting coefficient Findings: Necessary but has a rather limited impact (Vehovar et al. 1999, Loosvelt and Sonck 2008) corrects for proportionality but not necessarily for representativeness of substantive answers
  • 8. ...but Previous research comparing web and traditional methods Significant differences can be observed for web respondents. They... – are more intensive users of the Internet, more technically-oriented (Bandilla et al. 2003; Vehovar et al. 1999) – have a larger social trust & a greater subjective control over their lives (Lenhart et al. 2003) – are more politically and socially active (Duffy et al. 2005)
  • 9. Solution: Propensity Score Adjustment (PSA) Origin: experimental studies (Rosenbaum & Rubin, 1983) Aim: to correct for differences due to the varying inclination to participate in web surveys (Harrison Interactive). Findings: Mixed (Taylor 2005; Bethlehem & Stoop 2007) - some differences disappeared by demographic weighting, - some only after additional PSA, and - others continued to exist or become even larger
  • 10. PSA - method (see Schonlau et al. 2009) Web and probability-based reference survey are combined in one data file Logistic regression of people’s probability to participate in the web survey given demographic and/or attitudinal variables estimation of PS Make distribution of these propensity scores similar for web survey and random sample = calculation of weight wpsi (1/ psi if W = 1 (in the web survey), and 1/(1-psi) if W = 0 (in the reference survey)) web survey and random sample do not differ significantly for selected variables included in the PS
  • 11. Example - the WageIndicator data Web surveys: German and Dutch WageIndicator data, year 2006, employees, age 16-75, cross monthly income 400€-10000€ (Dutch net hourly income) NGerman= 21914 NDutch = 8015 Reference surveys: Same restrictions Germany (GSOEP, 2006) N= 7993 Netherlands (OSA, 2006) N= 2019
  • 12. Selection bias - socio-demographics Germany Netherlands LS SOEP LW OSA 100 100 80 80 60 60 40 40 20 20 0 0 low low medium medium high high 16-34 35-44 45-75 16-34 35-44 45-75 women women men men sex education cohort sex education cohort
  • 13. Selection bias - Labour markert Germany Netherlands LS SO P E LW OSA 100 100 80 80 60 60 40 40 20 20 0 manual non full part below above 0 manual manual nonmanual full part below above occupation workingtime unemployment occupation working time unemployment
  • 14. Selection bias - satisfaction Germany Netherlands LS S EP O LW O A S 100 100 80 80 60 60 40 40 20 20 0 0 not satisfied satisfied not satisfied satisfied not satisfied satisfied not satisfied satisfied health satisfaction jobsatisfaction health satisfaction jobsatisfaction
  • 15. Summary Similarities: underrepresentation of women, people between 45 und 75, part-timers, persons from regions with high unemployment, unsatisfied people Differences: underrepresentation of DE: highly educated, manual workers NL: low and medium educated, non-manual workers Two possible solutions a) Post-stratification weighting b) PSA
  • 16. Weights A) 6 post-stratification weights: W1= gender (2), education (2) and cohort (2) W2= gender (2), education (2), cohort (2) and part time (2) W3= gender (2), education (2), cohort (2) and nonmanual (2) W4= gender (2), education (2), cohort (2), part time (2) and jobsat W5= gender (2), education (2), cohort (2), nonmanual (2) and jobsat W6= part(2) and jobsat(2) B) 4 PSA weights PS1 = treat women edu2 coh2 nonman part perm nojob logwagemo PS2 = treat women edu2 coh2 nonman part perm nojob logwagemo + healthsat PS3 = treat women edu2 coh2 nonman part perm nojob logwagemo + jobsat PS4 = treat women edu2 coh2 nonman part perm nojob logwagemo + healthsat jobsat
  • 17. Results: Germany – Mean income Diff Diff1 Diff2 Diff3 Diff4 Diff5 Diff6 PS1 PS2 PS3 PS4 PS4 PS3 PS2 PS1 Diff6 Diff5 Diff4 Diff3 Diff2 Diff1 Diff 0€ 50 € 100 € 150 € 200 € 250 € 300 € 350 €
  • 18. Results: Germany – distributions Diff DiffW2 DiffW6 DiffPS1 DiffPS2 30 20 10 0 men women 16-34 35-65+ lowmed medhigh manual nonman full part dissat sat -10 Gender Cohort Education Nonmanual Part-time Jobsat -20 -30
  • 19. Results: Germany - Income Regression
  • 20. Results: NL – mean income Diff Diff1 Diff2 Diff3 Diff4 Diff5 Diff6 PS1 PS2 PS3 PS4 PS4 PS3 PS2 PS1 Diff6 Diff5 Diff4 Diff3 Diff2 Diff1 Diff -0,6 € -0,5 € -0,4 € -0,3 € -0,2 € -0,1 € 0,0 € 0,1 € 0,2 €
  • 21. Results: NL - distributions 40 30 20 10 0 men women 16-34 35-65+ lowmed medhigh manual nonman full part dissat sat -10 Gender Cohort Education Nonmanual Part-time Jobsat -20 -30 -40 Diff DiffW1 DiffW2 DiffW3 DiffPS1 DiffPS3
  • 22. Results: Netherlands - Income Regression
  • 23. Conclusion Impact weighting Both weighting methods show no substantial impact Moreover - no consistency within weights - for some weights differences become larger (?!) - effect of weights differ between countries Weighting cannot improve representativeness of (volunteer) web surveys Problems - Reference surveys (also biased?), mode effects, unobservables (not measured)
  • 24. Discussion Possible solutions for representativeness: Improving weights through inclusion of more variables or advanced/mixed weighting procedures Only mixed-mode surveys (time and cost-reduction disappears) Non-representative use of web survey data (only for experiments or exploratory analysis) OR questioning the definition of representativeness (content vs. methodological) survey quality ≠ absolute
  • 25. Pa rtt im e Fu M llt al Pa im e rtt e 15 -2 im Ma 4 e le yr 0% 2% 4% 6% 8% 10% 12% 14% Fu Fe 15 hi llt im m -2 gh al 4 e e yr er Fu Fe 15 hi llt m -2 gh im al 4 e e yr er Fe 15- hi Pa m 24 gh rtt al er im e yr e 15 hi gh Pa M -2 rtt al 4 er e yr Fu ime 25 lo llt -4 w im Ma le 4 er e yr Pa Fe 45 lo m -6 w rtt im al 4 er e e yr M 45 lo Pa -6 w rtt al e 4 er 15 yr Fu ime -2 lo llt M 4 w im a yr er Pa e F le 1 m rtt em 5- id im 24 dl al e Fu e e yr Telepanel_NL_% _2002 llt Fe 25 lo im m -4 w e a 4 er Fe le 1 yr m lo WageIndicator_NL_% _2005 Pa 5- rtt al 24 w im e yr er 15 -2 lo Pa e M 4 w World Value Survey_NL_% _1999 al rtt e yr er Labour Force Survey_NL_% _2005 Fu ime 45 m llt M -6 id im al 4 dl e e yr Fu e F em 25- m llt im 44 id dl e al e yr e Fe 45 hi Pa m -6 gh rtt al e 4 er im 45 yr h Pa e M -6 ig rtt a 4 he im le 2 yr r e 5- m Fu M 44 id dl Pa lltim e 4 al yr e m rtt e 5- im M 64 idd le e al e yr F 15 hi Fu em -2 gh llt al 4 im e yr er Pa e 15 lo M -2 w rtt im al 4 e e yr er Pa Fe 15- m rtt id im m 24 dl e a yr e Pa Fe le 2 m rtt m 5- id dl im al e 44 e Fu e yr llt Fe 45- l im m 64 ow e a yr er Fu Fe le 4 hi llt m 5- gh im al 64 Pa e e yr er Fe 25 rtt m -4 lo im al 4 w e yr er Fe e 2 5- m Fu ma 44 idd le le Pa lltim 45 yr h rtt e -6 ig im M 4 he e a yr r Fe le 4 m Fu m 5- id 64 dl llt al e im e 2 yr e 5- Fu llt M 44 low er im ale yr Fu e M 25- hi gh ll al 44 er Pa tim e yr e 45 Representativness of surveys rtt M -6 lo im al 4 w e e er Fe 45 yr h Fu m -6 ig al 4 he llt im e yr r 2 m Fu e M 5-4 id llt 4 dl im al e y e e 25 r m M -4 id al e 4 dl e 25 yr h -4 ig 4 he yr r m id dl e
  • 26. Outlook Comparison: more countries Methods: - Combination of different weighting techniques (see Lee & Valliant, 2009) - Weighting with ‚better‘ reference survey and more webograhic variables (LISS panel= parallel survey, identical questionnaire + same mode)
  • 27. The end Thanks' for listening... ...questions ? ...comments and suggestions? contact: steinmetz@fsw.eur.nl erasmus studio