An assessment of the robustness of weights in the famille et employeurs survey
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An assessment of the robustness of weights in the Famille et Employeurs survey. Nicolas Razafindratsima ( [email protected] ) & Elisabeth Morand ( [email protected] ) INED. European Conference on Quality in Official Statistics, Rome, July 2008. Outline. Introduction

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An assessment of the robustness of weights in the Famille et Employeurs survey

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An assessment of the robustness of weights in the Famille et Employeurs survey

Nicolas Razafindratsima ([email protected])

& Elisabeth Morand ([email protected])


European Conference on Quality in Official Statistics,

Rome, July 2008


  • Introduction

  • The Famille et Employeurs survey

  • Methodology of weights calculations

  • Results

  • Conclusion


  • In indirect sampling : the generalized weight share method (Lavallée, 2002 & 2007) is a simple and easy strategy to produce unbiased estimations

  • Objective of this study : to expose the implementation of this method for the Familles et Employeurs survey (Ined/Insee, 2004-2005) : difficulties, and robustness of the weights obtained.

The Familles et Employeurs survey

  • Main purpose : to study professional and family life conciliation: - from the employees point of view - from the employers point of view

  • Can behaviours within the family be explained through employers rules and characteristics?

  • A matched survey: employee  employers

The household survey

  • Sampling strategy :- a sample of 11 719 dwellings drawn from the INSEE master sample  6 167 of them answered

    - interview of 1 or 2 individuals, aged 20-49, in each household (random sampling if >2)  9 547 respondents

  • Face to face interview. Questionnaire on demographic events (birth, unions), family life organization, etc., in relation to individuals professional context

The establishment survey

  • Target : Establishments of 20 employees or more

  • Individuals respondents were asked to give their employers name, address, national identification number as well as their size and sector.

  • A self administered questionnaire was sent to the establishments. Possibility to answer by paper or by the Internet. 2 673 respondents.

Weighting methodology

  • The basic for establishments weighting methodology : the generalized weight share method

Where :

Wi=weight of establishment i

Wj=weight of individual j (those in the sample)

Li= number of eligible employees (aged 20-49) in the establishment i

Weighting methodology

  • Difficulties :

    - the choice of individuals weight (non-response, calibration)

    - the estimation of the number of employees aged 20-49 in the establishment

    [- establishment non-responses]

Weighting the sample of individuals

  • Non response variations :

    • At the household level (non-response higher in urban areas, for collective dwellings, etc.)

    • At the individual level (non-response higher for males, single persons, less-educated people, etc.)

  • Non-response adjustments :

    • At the household level : using corrective response rates within response homogeneity groups

    • At the individual level : calibration (on Labor force survey data)

      - on a single variable : gender*age

      - or on 7 variables : gender*age, employment status, nationality, region, highest diploma, urbanization status, household size

Distribution of individuals weights

Estimation of the number of eligible employees (aged 20-49)

  • Number of employees (total and by age groups) asked in the establishment questionnaire

  • But number of 20-49 not available for 16% of the establishments (item non-response)

  • Imputation of number of 20-49 when non-response : using coefficients of a regression model among respondents, linking nb of 20-49 to total (one model by activity sector)

  • For 2/3 of the establishments, total size is also available through the SIRENE directory. Allows an other estimation of 20-49 number for evaluation purposes

Distribution of total size

Distribution of number of 20-49

Summary of the options for establishments weighting

Employees weight=establishment weight*nb of employees

Distribution of establishment weights

Distribution of employees weight

Percentage of establishments having a crèche

Percentage of employees working in an establishment with a crèche


  • Weight sharing method :

    • A simple and easy to implement method

    • However, difficult to implement in the Famille et Employeurs survey, due to :

      • non-responses on the ‘link’ variable

      • High dispersion of the size variable

  • More sensitive to the link variable than on specification of the individual weights

  • All the computed weights present great variability

  • Weight trimming may improve precision at the establishment level, but fails to do so at the employees level


  • Lavallée, P. (2002) : Le sondage indirect, ou la méthode généralise du partage des poids, Bruxelles, Presses de l’université libre de Bruxelles et Paris, Ellipses, 242 pages.

  • Lavallée, P. (2007) : Indirect sampling, New York, Springer (Springer series in statistics), 245 pages.

Thank you for your attention !

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