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  • Articles and reports: 12-001-X198500114367
    Description:

    The synthetic estimator (SYN) has been traditionally used to estimate characteristics of small domains. Although it has the advantage of a small variance, it can be seriously biased in some small domains which depart in structure from the overall domains. Särndal (1981) introduced the regression estimator (REG) in the context of domain estimation. This estimator is nearly unbiased, however, it has two drawbacks; (i) its variance can be considerable in some small domains and (ii) it can take on negative values in situations that do not allow such values.

    In this paper, we report on a compromise estimator which strikes a balance between the two estimators SYN and REG. This estimator, called the modified regression estimator (MRE), has the advantage of a considerably reduced variance compared to the REG estimator and has a smaller Mean Squared Error than the SYN estimator in domains where the latter is badly biased. The MRE estimator eliminates the drawback with negative values mentioned above. These results are supported by a Monte Carlo study involving 500 samples.

    Release date: 1985-06-14

  • Articles and reports: 12-001-X198400214354
    Description:

    Goodness of fit tests, tests for independence in a two-way contingency table, log-linear models and logistic regression models are investigated in the context of samples which are obtained from complex survey designs. Suggested approximations to the null distributions are reviewed and some examples from the Canada Health Survey and Canadian Labour Force Survey are given. Software implementation for using these methods is briefly discussed.

    Release date: 1984-12-14

  • Articles and reports: 12-001-X198000154837
    Description: Statistics on sales of establishments classified as restaurants, caterers and taverns have been collected since 1951. The sample has not been updated for births since 1968 and as a result, it is not representative of the current universe. This paper reports on several methodological aspects of the redesign. The sampling unit, sample design, sample size and allocation, data collection methods, edits and imputations, accumulations and calculations, frame and sample maintenance are described. The new survey will reduce manual procedures wherever possible. Collection, editing, imputation, tabulation and updating procedures will be completely computerized. Data collection will be decentralized and will take place via telephone.
    Release date: 1980-06-15

  • Articles and reports: 12-001-X197900100005
    Description: Approximate cutoff rules for stratifying a population into a take-all and take-some universe have been given by Dalenius (1950) and Glasser (1962). They expressed the cutoff value (that value which delineates the boundary of the take-all and take-some) as a function of the mean, the sampling weight and the population variance. Their cutoff values were derived on the assumption that a single random sample of size n was to be drawn without replacement from the population of size N.

    In the present context, exact and approximate cutoff rules have been worked out for a similar situation. Rather than providing the sample size of the sample, the precision (coefficient of variation) is given. Note that in many sampling situations, the sampler is given a set of objectives in terms of reliability and not sample size. The result is particularly useful for determining the take-all - take-some boundary for samples drawn from a known population. The procedure is also extended to ratio estimation.
    Release date: 1979-06-15
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Articles and reports (4)

Articles and reports (4) ((4 results))

  • Articles and reports: 12-001-X198500114367
    Description:

    The synthetic estimator (SYN) has been traditionally used to estimate characteristics of small domains. Although it has the advantage of a small variance, it can be seriously biased in some small domains which depart in structure from the overall domains. Särndal (1981) introduced the regression estimator (REG) in the context of domain estimation. This estimator is nearly unbiased, however, it has two drawbacks; (i) its variance can be considerable in some small domains and (ii) it can take on negative values in situations that do not allow such values.

    In this paper, we report on a compromise estimator which strikes a balance between the two estimators SYN and REG. This estimator, called the modified regression estimator (MRE), has the advantage of a considerably reduced variance compared to the REG estimator and has a smaller Mean Squared Error than the SYN estimator in domains where the latter is badly biased. The MRE estimator eliminates the drawback with negative values mentioned above. These results are supported by a Monte Carlo study involving 500 samples.

    Release date: 1985-06-14

  • Articles and reports: 12-001-X198400214354
    Description:

    Goodness of fit tests, tests for independence in a two-way contingency table, log-linear models and logistic regression models are investigated in the context of samples which are obtained from complex survey designs. Suggested approximations to the null distributions are reviewed and some examples from the Canada Health Survey and Canadian Labour Force Survey are given. Software implementation for using these methods is briefly discussed.

    Release date: 1984-12-14

  • Articles and reports: 12-001-X198000154837
    Description: Statistics on sales of establishments classified as restaurants, caterers and taverns have been collected since 1951. The sample has not been updated for births since 1968 and as a result, it is not representative of the current universe. This paper reports on several methodological aspects of the redesign. The sampling unit, sample design, sample size and allocation, data collection methods, edits and imputations, accumulations and calculations, frame and sample maintenance are described. The new survey will reduce manual procedures wherever possible. Collection, editing, imputation, tabulation and updating procedures will be completely computerized. Data collection will be decentralized and will take place via telephone.
    Release date: 1980-06-15

  • Articles and reports: 12-001-X197900100005
    Description: Approximate cutoff rules for stratifying a population into a take-all and take-some universe have been given by Dalenius (1950) and Glasser (1962). They expressed the cutoff value (that value which delineates the boundary of the take-all and take-some) as a function of the mean, the sampling weight and the population variance. Their cutoff values were derived on the assumption that a single random sample of size n was to be drawn without replacement from the population of size N.

    In the present context, exact and approximate cutoff rules have been worked out for a similar situation. Rather than providing the sample size of the sample, the precision (coefficient of variation) is given. Note that in many sampling situations, the sampler is given a set of objectives in terms of reliability and not sample size. The result is particularly useful for determining the take-all - take-some boundary for samples drawn from a known population. The procedure is also extended to ratio estimation.
    Release date: 1979-06-15
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