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Jörgen Svensson Marina Jansson Statistics Sweden

Nonresponse adjustment A comparison between different estimators used in some Swedish surveys on rare items. Jörgen Svensson Marina Jansson Statistics Sweden. Horvitz-Thompson estimator. Simple estimator Combined with straight expansion within strata No auxiliary information

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Jörgen Svensson Marina Jansson Statistics Sweden

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  1. Nonresponse adjustmentA comparison between different estimators used in some Swedish surveys on rare items Jörgen Svensson Marina Jansson Statistics Sweden

  2. Horvitz-Thompson estimator • Simple estimator • Combined with straight expansion within strata • No auxiliary information • Excluding or including data from the nonresponse study

  3. Calibration for nonresponse estimator • Using auxiliary information • Excluding or including data from the nonresponse study • No weighting with data from the nonresponse study

  4. ”Two-phase” generalized regression estimator • Using auxiliary information • Excluding or including data from the nonresponse study • No weighting with data from the nonresponse study • Minor differences compared with calibration estimator

  5. Hansen-Hurwitz estimator • Subsampling the nonresponse ”stratum” • Weighting with data from this nonresponse study • No auxiliary information • Probably higher variance but lower nonresponse bias

  6. Hansen-Hurwitz estimator with calibration for nonresponse • Weighting with data from the nonresponse study • Using auxiliary information: • totals for the nonresponse ”strata” • totals for the population strata • Combination of two approaches for nonresponse treatment

  7. ResultsFarm Accidents Survey • A little fewer accidents, using Hansen-Hurwitz estimator: 3 700 → 3 500 farm accidents • (Measurement study gave larger effects)

  8. ResultsPet Survey • Substantially fewer dogs, using Hansen-Hurwitz estimator: 810 000 → 730 000 dogs • A little fewer cats, using Hansen-Hurwitz estimator: 1.28 → 1.26 million cats

  9. ResultsFishery Survey • Very much fewer fishing persons, using Hansen-Hurwitz estimator: 1.4 → 1.0 million persons • Very much fewer fishing days, using Hansen-Hurwitz estimator: 20 → 14 million days

  10. ResultsFishery Tourism Survey • Survey with coverage problems and skewed population • Somewhat less turnover, using Hansen-Hurwitz estimator

  11. Conclusions • Hansen-Hurwitz is possible to combine with calibration! • Try to get high response rate in the nonresponse study! • To be considered when surveying • rare items (phenomena correlated with response propensity) • non-individuals with good chance of response

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