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  • 1. The effect of a two-stage sample design on tests of independence Archived
    Articles and reports: 12-001-X197800154830
    Description: When a two-stage sample is used to collect data, the correlations between the sampled units make the ?2 test of independence invalid. Use of the ordinary ?2 tables generally results in a test which is greater than the desired level of significance. The effect of the sample design comes from two main areas: the sample size within PSU’s and the degree to which the characteristics are independent within each PSU. The effect of the sample size within PSU’s is greatest when there is no independence within each PSU, and diminishes as the degree of independence increases.
    Release date: 1978-06-15
  • 2. An estimate of the efficiency of raking ratio estimators under simple random sampling Archived
    Articles and reports: 12-001-X197800154835
    Description: Raking ratio estimators give estimates of the population values of characteristics examined on a sample basis utilizing the row and column totals of a contingency table of characteristics examined on a 100% basis. In this paper, the asymptotic variance of the maximum likelihood estimator of a sample characteristic subject to the marginal constraints of the above contingency table is derived. From this, we are able to compute the loss in efficiency of the raking ratio estimators relative to the maximum likelihood estimator in an empirical study.
    Release date: 1978-06-15
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Articles and reports (2)

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  • 1. The effect of a two-stage sample design on tests of independence Archived
    Articles and reports: 12-001-X197800154830
    Description: When a two-stage sample is used to collect data, the correlations between the sampled units make the ?2 test of independence invalid. Use of the ordinary ?2 tables generally results in a test which is greater than the desired level of significance. The effect of the sample design comes from two main areas: the sample size within PSU’s and the degree to which the characteristics are independent within each PSU. The effect of the sample size within PSU’s is greatest when there is no independence within each PSU, and diminishes as the degree of independence increases.
    Release date: 1978-06-15
  • 2. An estimate of the efficiency of raking ratio estimators under simple random sampling Archived
    Articles and reports: 12-001-X197800154835
    Description: Raking ratio estimators give estimates of the population values of characteristics examined on a sample basis utilizing the row and column totals of a contingency table of characteristics examined on a 100% basis. In this paper, the asymptotic variance of the maximum likelihood estimator of a sample characteristic subject to the marginal constraints of the above contingency table is derived. From this, we are able to compute the loss in efficiency of the raking ratio estimators relative to the maximum likelihood estimator in an empirical study.
    Release date: 1978-06-15
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