Weighting and estimation

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All (5)

All (5) ((5 results))

  • Articles and reports: 12-001-X199600114385
    Description:

    The multiple capture-recapture census is reconsidered by relaxing the traditional perfect matching assumption. We propose matching error models to characterize error-prone matching mechanisms. The observed data take the form of an incomplete 2^k contingency table with one missing cell and follow a multinomial distribution. We develop a procedure for the estimation of the population size. Our approach applies to both standard log-linear models for contingency tables and log-linear models for heterogeneity of catchability. We illustrate the method and estimation using a 1988 dress rehearsal study for the 1990 census conducted by the U.S. Bureau of the Census.

    Release date: 1996-06-14

  • Articles and reports: 12-001-X199600114387
    Description:

    In this paper, we consider analysis of variance methodology for inverse Gaussian distribution and adapt it for estimation of small area parameters in finite populations. It is demonstrated, through a Monte Carlo study, that these estimators offer a competitive choice for positively skewed survey data such as income or yield of a particular sector.

    Release date: 1996-06-14

  • Articles and reports: 12-001-X199600114388
    Description:

    Variance estimation for the poststratified estimator and the generalized regression estimator of a total under stratified multi-stage sampling is considered. By linearizing the jackknife variance estimator, a jackknife linearization variance estimator is obtained which is different from the standard linearization variance estimator. This variance estimator is computationally simpler than the jackknife variance estimator and yet leads to values close to the jackknife. Properties of the jackknife linearization variance estimator, the standard linearized variance estimator, and the jackknife variance estimator are studied through a simulation study. All of the variance estimators performed well both unconditionally and conditionally given a measure of how far away the estimated totals of auxiliary variables are from the known population totals. A jackknife variance estimator based on incorrect reweighting performed poorly, indicating the importance of correct reweighting when using the jackknife method.

    Release date: 1996-06-14

  • Articles and reports: 12-001-X199600114389
    Description:

    There are a number of asymptotically equivalent procedures for deriving the Taylor series approximation of variances for complex statistics. In Binder and Patak (1994) the theoretical justification for one class of methods was derived. However, many of these methods can be derived for practical examples using straightforward techniques that are not clearly described in Binder and Patak. In this paper we give a “cookbook” approach that can be used for many examples, and that has been shown to have good finite sample properties. Normally the method of choice becomes clear through arguments such as model-assisted methods or linearizing the jackknife; however, using our approach yields the desired results more directly. As well, we present new results on the application of these techniques to two-phase samples.

    Release date: 1996-06-14

  • Articles and reports: 82-003-X19950032450
    Geography: Canada
    Description:

    Abridged life tables centred on 1991 were produced from the 1991 Canadian census, net census undercoverage estimates, and death data from 1990 to 1992. The sensitivity of life table values to differing methods of estimation and population estimates was investigated. The results from four methods by Greville, Chiang, and Keyfitz were compared, and population undercoverage, were used to test the effects of method and type of population estimate on life table values. The results indicate that the method used to derive the estimates had much less influence on the life table values than did the choice of population estimate. The change life expectancy at birth due to the method of calculation chosen was at most 15 days, whereas the change due to the population estimate chosen was about 73 days. Since there are age, sex and provincial variations in net undercoverage rates, life expectancies differed accordingly.

    Release date: 1996-02-09
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Analysis (5)

Analysis (5) ((5 results))

  • Articles and reports: 12-001-X199600114385
    Description:

    The multiple capture-recapture census is reconsidered by relaxing the traditional perfect matching assumption. We propose matching error models to characterize error-prone matching mechanisms. The observed data take the form of an incomplete 2^k contingency table with one missing cell and follow a multinomial distribution. We develop a procedure for the estimation of the population size. Our approach applies to both standard log-linear models for contingency tables and log-linear models for heterogeneity of catchability. We illustrate the method and estimation using a 1988 dress rehearsal study for the 1990 census conducted by the U.S. Bureau of the Census.

    Release date: 1996-06-14

  • Articles and reports: 12-001-X199600114387
    Description:

    In this paper, we consider analysis of variance methodology for inverse Gaussian distribution and adapt it for estimation of small area parameters in finite populations. It is demonstrated, through a Monte Carlo study, that these estimators offer a competitive choice for positively skewed survey data such as income or yield of a particular sector.

    Release date: 1996-06-14

  • Articles and reports: 12-001-X199600114388
    Description:

    Variance estimation for the poststratified estimator and the generalized regression estimator of a total under stratified multi-stage sampling is considered. By linearizing the jackknife variance estimator, a jackknife linearization variance estimator is obtained which is different from the standard linearization variance estimator. This variance estimator is computationally simpler than the jackknife variance estimator and yet leads to values close to the jackknife. Properties of the jackknife linearization variance estimator, the standard linearized variance estimator, and the jackknife variance estimator are studied through a simulation study. All of the variance estimators performed well both unconditionally and conditionally given a measure of how far away the estimated totals of auxiliary variables are from the known population totals. A jackknife variance estimator based on incorrect reweighting performed poorly, indicating the importance of correct reweighting when using the jackknife method.

    Release date: 1996-06-14

  • Articles and reports: 12-001-X199600114389
    Description:

    There are a number of asymptotically equivalent procedures for deriving the Taylor series approximation of variances for complex statistics. In Binder and Patak (1994) the theoretical justification for one class of methods was derived. However, many of these methods can be derived for practical examples using straightforward techniques that are not clearly described in Binder and Patak. In this paper we give a “cookbook” approach that can be used for many examples, and that has been shown to have good finite sample properties. Normally the method of choice becomes clear through arguments such as model-assisted methods or linearizing the jackknife; however, using our approach yields the desired results more directly. As well, we present new results on the application of these techniques to two-phase samples.

    Release date: 1996-06-14

  • Articles and reports: 82-003-X19950032450
    Geography: Canada
    Description:

    Abridged life tables centred on 1991 were produced from the 1991 Canadian census, net census undercoverage estimates, and death data from 1990 to 1992. The sensitivity of life table values to differing methods of estimation and population estimates was investigated. The results from four methods by Greville, Chiang, and Keyfitz were compared, and population undercoverage, were used to test the effects of method and type of population estimate on life table values. The results indicate that the method used to derive the estimates had much less influence on the life table values than did the choice of population estimate. The change life expectancy at birth due to the method of calculation chosen was at most 15 days, whereas the change due to the population estimate chosen was about 73 days. Since there are age, sex and provincial variations in net undercoverage rates, life expectancies differed accordingly.

    Release date: 1996-02-09
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