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A Cautionary Note on Post-stratification Adjustment with Estimated Control Totals

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Weight adjustment for non-response and, to a lesser degree, coverage error are applied to the initial weights to produce the final analytic weights. Frequently the adjustment is applied using post-stratification. As Cochran suggested, the effectiveness of the post-stratification adjustment completely depends on available true population parameters, or the control totals. In practice, however, the population parameters are frequently estimated directly or indirectly through modeling. This paper demonstrates potential adverse effects of using incorrect population parameters in post-stratification adjustments, by applying log-linear models to a cross-tabulation of sex, race/ethnicity, and age from 2010 U.S. Census data. In particular, a caution is advised when we apply raking ratio adjustments to the initial weights with estimated control totals - in general, the last step for well-designed surveys but frequently the only step for not-so-well-designed surveys.

Abstract

Weight adjustment for non-response and, to a lesser degree, coverage error are applied to the initial weights to produce the final analytic weights. Frequently the adjustment is applied using post-stratification. As Cochran suggested, the effectiveness of the post-stratification adjustment completely depends on available true population parameters, or the control totals. In practice, however, the population parameters are frequently estimated directly or indirectly through modeling. This paper demonstrates potential adverse effects of using incorrect population parameters in post-stratification adjustments, by applying log-linear models to a cross-tabulation of sex, race/ethnicity, and age from 2010 U.S. Census data. In particular, a caution is advised when we apply raking ratio adjustments to the initial weights with estimated control totals - in general, the last step for well-designed surveys but frequently the only step for not-so-well-designed surveys.

참고문헌 (19)

  1. Agresti, A., "Categorical Data Analysis" (2002), Wiley
  2. Bishop, Y.M., "Discrete Multivariate Analysis: Theory and Practice" (1975), MIT Press
  3. Cochran, W.G., "Sampling Techniques" (1977), Wiley
  4. Deming, W.E., "On a least squares adjustment of a sampled frequency table when the expected marginal totals are known", The Annals of Mathematical Statistics, 11(4), pp.427~444 (1940)
  5. Dever, J.A., "A comparison of variance estimators for poststratification to estimated control totals", Survey Methodology, 36(1), pp.45~56 (2010)
  6. Deville, J.C., "Generalized raking procedures in survey sampling", Journal of the American Statistical Association, 88(423), pp.1013~1020 (1993)
  7. Fienberg, S.E., "The Analysis of Cross-Classified Categorical Data" (1980), MIT Press
  8. Fuller, W.A., "Estimation employing post strata", Journal of the American Statistical Association, 61(316), pp.1172~1183 (1966)
  9. Gelman, A., "Struggles with survey weighting and regression modeling", Statistical Science, 22(2), pp.153~164 (2007)
  10. Goodman, L.A., "The multivariate analysis of qualitative data: Interactions among multiple classifications", Journal of the American Statistical Association, 65(329), pp.226~256 (1970)
  11. Holt, D., "Post stratification", Journal of the Royal Statistical Society. Series A (General), 142(1), pp.33~46 (1979)
  12. Ireland, C.T., "Contingency tables with given marginals", Biometrika, 1, pp.179~188 (1968)
  13. Little, R.J.A., "Post-stratification: A modeler's perspective", Journal of the American Statistical Association, 88(423), pp.1001~1012 (1993)
  14. Neyman, J., "On the two different aspects of the representative method: The method of stratified sampling and the method of purposive selection", Journal of the Royal Statistical Society, 97(4), pp.558~625 (1934)
  15. Oh, H.L., "Incomplete Data in Sample Surveys (Vol. 2 Theory and Bibliographies)", pp.143~184 (1983), Academic Press
  16. Stephan, F.F., "Stratification in representative sampling", The Journal of Marketing, 6(1), pp.38~46 (1941)
  17. Valliant, R., "Poststratification and conditional variance estimation", Journal of the American Statistical Association, 88(421), pp.89~96 (1993)
  18. Winship, C., "Sampling weights and regression analysis", Sociological Methods & Research, 23(2), pp.230~257 (1994)
  19. Yung, W., "Jackknife variance estimation under imputation for estimators using poststratification", Journal of the American Statistical Association, 95(451), pp.903~915 (2000)

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