Analysis

All (2) ((2 results))

• 1. Leslie Kish: development of statistics internationally Archived

  Articles and reports: 11-522-X20010016242

  Description:

  This paper discusses in detail issues dealing with the technical aspects of designing and conducting surveys. It is intended for an audience of survey methodologists.

  "Remembering Leslie Kish" provides us with a personal view of his many contributions to the international development of statistics. One of the elements that made his contributions so special and effective was the "Kish approach". The characteristic features of this approach include: identifying what is important; formulating and answering practical questions; seeking patterns and frameworks; and above all, persisting in the promotion of good ideas. Areas in which his technical contributions have made the most impact on practical survey work in developing countries have been identified. A unique aspect of Leslie's contribution is the motivation he created for the development of a world-wide community of survey samplers.

  Release date: 2002-09-12

  ---

• 2. Variance estimation for the general regression estimator Archived

  Articles and reports: 12-001-X20020016424

  Description:

  A variety of estimators for the variance of the General Regression (GREG) estimator of a mean have been proposed in the sampling literature, mainly with the goal of estimating the design-based variance. Under certain conditions, estimators can be easily constructed that are approximately unbiased for both the design-variance and the model-variance. Several dual-purpose estimators are studied here in single-stage sampling. These choices are robust estimators of a model-variance even if the model that motivates the GREG has an incorrect variance parameter.

  A key feature of the robust estimators is the adjustment of squared residuals by factors analogous to the leverages used in standard regression analysis. We also show that the delete-one jackknife estimator implicitly includes the leverage adjustments and is a good choice from either the design-based or model-based perspective. In a set of simulations, these variance estimators have small bias and produce confidence intervals with near-nominal coverage rates for several sampling methods, sample sizes and populations in single-stage sampling.

  We also present simulation results for a skewed population where all variance estimators perform poorly. Samples that do not adequately represent the units with large values lead to estimated means that are too small, variance estimates that are too small and confidence intervals that cover at far less than the nominal rate. These defects can be avoided at the design stage by selecting samples that cover the extreme units well. However, in populations with inadequate design information this will not be feasible.

  Release date: 2002-07-05

Stats in brief (0) (0 results)

No content available at this time.

Articles and reports (2) ((2 results))

• 1. Leslie Kish: development of statistics internationally Archived

  Articles and reports: 11-522-X20010016242

  Description:

  This paper discusses in detail issues dealing with the technical aspects of designing and conducting surveys. It is intended for an audience of survey methodologists.

  "Remembering Leslie Kish" provides us with a personal view of his many contributions to the international development of statistics. One of the elements that made his contributions so special and effective was the "Kish approach". The characteristic features of this approach include: identifying what is important; formulating and answering practical questions; seeking patterns and frameworks; and above all, persisting in the promotion of good ideas. Areas in which his technical contributions have made the most impact on practical survey work in developing countries have been identified. A unique aspect of Leslie's contribution is the motivation he created for the development of a world-wide community of survey samplers.

  Release date: 2002-09-12

  ---

• 2. Variance estimation for the general regression estimator Archived

  Articles and reports: 12-001-X20020016424

  Description:

  A variety of estimators for the variance of the General Regression (GREG) estimator of a mean have been proposed in the sampling literature, mainly with the goal of estimating the design-based variance. Under certain conditions, estimators can be easily constructed that are approximately unbiased for both the design-variance and the model-variance. Several dual-purpose estimators are studied here in single-stage sampling. These choices are robust estimators of a model-variance even if the model that motivates the GREG has an incorrect variance parameter.

  A key feature of the robust estimators is the adjustment of squared residuals by factors analogous to the leverages used in standard regression analysis. We also show that the delete-one jackknife estimator implicitly includes the leverage adjustments and is a good choice from either the design-based or model-based perspective. In a set of simulations, these variance estimators have small bias and produce confidence intervals with near-nominal coverage rates for several sampling methods, sample sizes and populations in single-stage sampling.

  We also present simulation results for a skewed population where all variance estimators perform poorly. Samples that do not adequately represent the units with large values lead to estimated means that are too small, variance estimates that are too small and confidence intervals that cover at far less than the nominal rate. These defects can be avoided at the design stage by selecting samples that cover the extreme units well. However, in populations with inadequate design information this will not be feasible.

  Release date: 2002-07-05

Journals and periodicals (0) (0 results)

No content available at this time.