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- Articles and reports: 12-001-X199300114474Description:
The need for standards introduced for the gathering and reporting of information on nonresponse across surveys within a statistical agency is discussed. Standards being adopted at Statistics Canada are then described. Measures to reduce nonresponse undertaken at different stages in the design of surveys at Statistics Canada that have a bearing on nonresponse are described. These points are illustrated by examining nonresponse experiences for two major surveys at Statistics Canada.
Release date: 1993-06-15 - 2. On the definitions of response rates ArchivedArticles and reports: 12-001-X198600114437Description: In this paper, different types of response/nonresponse and associated measures such as rates are provided and discussed together with their implications on both estimation and administrative procedures. The missing data problems lead to inconsistent terminology related to nonresponse such as completion rates, eligibility rates, contact rates, and refusal rates, many of which can be defined in different ways. In addition, there are item nonresponse rates as well as characteristic response rates. Depending on the uses, the rates may be weighted or unweighted.Release date: 1986-06-16
- 3. Some aspects of nonresponse adjustments ArchivedArticles and reports: 12-001-X198500114359Description: Unit and item nonresponse almost always occur in surveys and censuses. The larger its size the larger its potential effect will be on survey estimates. It is, therefore, important to cope with it at every stage where they can be affected. At varying degrees the size of nonresponse can be coped with at design, field and processing stages. The nonresponse problems have an impact on estimation formulas for various statistics as a result of imputations and weight adjustments along with survey weights in the estimates of means, totals, or other statistics. The formulas may be decomposed into components that include response errors, the effect of weight adjustment for unit nonresponse, and the effect of substitution for nonresponse. The impacts of the design, field, and processing stages on the components of the estimates are examined.Release date: 1985-06-14
- Articles and reports: 12-001-X197800254834Description: Frames designed for continuous surveys are sometimes used for ad hoc surveys which require selection of sampling units separate from those selected for the continuous survey. This paper presents an unbiased extension of Keyfitz’s (1951) sample updating method to the case where a portion of the frame has been reserved for surveys other than the main continuous survey. A simple although biased alternative is presented. The scope under Platek and Singh’s (1975) design strategy for an area based continuous survey requiring updating is then expanded to encompass rotation of first stage units, establishment of a separate special survey sub-frame, and procedures to prevent re-selection of ultimate sampling units. The methods are evaluated in a Monte Carlo study using Census data to simulate the design for the Canadian Labour Force Survey.Release date: 1978-12-15
- 5. Non-response and imputation ArchivedArticles and reports: 12-001-X197800254830Description: The problems of dealing with non-response at various stages of survey planning are discussed with implications for the mean square error, practicality and possible advantages and disadvantages. Conceptual issues of editing and imputation are also considered with regard to complexity and levels of imputation. The methods of imputation include weighting, duplication, and substitution of historical records. The paper includes some methodology on the bias and variance.Release date: 1978-12-15
- 6. Stratification index: Methodology and analysis ArchivedArticles and reports: 12-001-X197600200002Description: To obtain estimates of means or totals for a universe, a sample of units is often drawn to represent the universe and these units are then surveyed. One of the most important procedures used in the selection of the units is that of stratification, whereby the universe is split up into strata and independent samples of units are drawn from each stratum. A stratification index is developed to indicate the approximate fractional reduction in the sampling variance from that which would result if no stratification were undertaken. Also the methodology is extended to examine the effect of stratification on the sampling variance at different levels of stratification through the concept of a summary index. The stratification index is also extended to the case of ratio estimates using independent source data to re-weight the sample data. The index has been applied to the Canadian Labour Force Survey (LFS), a typical multi-stage stratified sample where ratio estimation, using projected age-sex population estimates is applied and empirical data are presented and analyzed.Release date: 1976-12-13
- Articles and reports: 12-001-X197600100006Description: Multi-stage statistical surveys as a means of obtaining socioeconomic characteristics for the population have been in use for many years. Each survey requires an extensive and precise sample design which is governed by the cost structure for obtaining the data and the variance of the characteristic data between units at various stages of sampling. The authors analyzed variance components derived from one month's data of the Canadian Labour Force Survey and examined the variance that would have resulted under different allocation strategies in Table 6 and for different average sizes of units in Table 7. The percentage components of variance, the design effects by stage of sampling and population variances between units of the various stages, as well as measures of homogeneity for households within stages, are derived and shown in Tables 2 to 5. The analysis was carried out for the Canadian Labour Force Survey, but the methodology of component of variance estimation (Gray [4]) and the methods used to analyze the results of a particular survey are readily applied to any multi-stage statistical sample survey, where Horvitz-Thompsen estimators and ratio estimation are applied.Release date: 1976-06-14
- 8. Some variance estimators for multistage sampling ArchivedArticles and reports: 12-001-X197500254829Description: J.N.K. Rao (1975) derived a general formula for estimating the variance in multistage sample designs. This general formula extends the previous results by Des Raj (1966) to the case where the conditional variance from a given primary sampling unit is a random variable. The authors reviewed Rao's paper for its application to Horvitz-Thompson and Yates-Grundy variance estimators as well as the variance estimator for the random group method by Rao, Hartley and Cochran (1962). The authors present an altered version of the Yates-Grundy variance estimators as a result of Rao's paper.Release date: 1975-12-15
- Articles and reports: 12-001-X197500254832Description: A ratio estimate based on an auxiliary variable is considered for the case when the sample is post-stratified using information on another auxiliary variable. The variance of the ratio estimate is derived by the method of linearization [3,4]. An application to subprovincial estimation in the Canadian Labour Force Survey is discussed.Release date: 1975-12-15
- Articles and reports: 12-001-X197500100002Description: In 1962, Hartley and Rao derived an asymptotic formula for the joint probability selection for samples selected with unequal probability sampling. In 1966, Connor, derived an exact formula for this joint probability, however, his formulae were very involved. In the present paper the authors, using a modification of Connor's formula derive the exact joint probabilities using a specially designed computer algorithm.Release date: 1975-06-16
Articles and reports (12)
Articles and reports (12) (0 to 10 of 12 results)
- Articles and reports: 12-001-X199300114474Description:
The need for standards introduced for the gathering and reporting of information on nonresponse across surveys within a statistical agency is discussed. Standards being adopted at Statistics Canada are then described. Measures to reduce nonresponse undertaken at different stages in the design of surveys at Statistics Canada that have a bearing on nonresponse are described. These points are illustrated by examining nonresponse experiences for two major surveys at Statistics Canada.
Release date: 1993-06-15 - 2. On the definitions of response rates ArchivedArticles and reports: 12-001-X198600114437Description: In this paper, different types of response/nonresponse and associated measures such as rates are provided and discussed together with their implications on both estimation and administrative procedures. The missing data problems lead to inconsistent terminology related to nonresponse such as completion rates, eligibility rates, contact rates, and refusal rates, many of which can be defined in different ways. In addition, there are item nonresponse rates as well as characteristic response rates. Depending on the uses, the rates may be weighted or unweighted.Release date: 1986-06-16
- 3. Some aspects of nonresponse adjustments ArchivedArticles and reports: 12-001-X198500114359Description: Unit and item nonresponse almost always occur in surveys and censuses. The larger its size the larger its potential effect will be on survey estimates. It is, therefore, important to cope with it at every stage where they can be affected. At varying degrees the size of nonresponse can be coped with at design, field and processing stages. The nonresponse problems have an impact on estimation formulas for various statistics as a result of imputations and weight adjustments along with survey weights in the estimates of means, totals, or other statistics. The formulas may be decomposed into components that include response errors, the effect of weight adjustment for unit nonresponse, and the effect of substitution for nonresponse. The impacts of the design, field, and processing stages on the components of the estimates are examined.Release date: 1985-06-14
- Articles and reports: 12-001-X197800254834Description: Frames designed for continuous surveys are sometimes used for ad hoc surveys which require selection of sampling units separate from those selected for the continuous survey. This paper presents an unbiased extension of Keyfitz’s (1951) sample updating method to the case where a portion of the frame has been reserved for surveys other than the main continuous survey. A simple although biased alternative is presented. The scope under Platek and Singh’s (1975) design strategy for an area based continuous survey requiring updating is then expanded to encompass rotation of first stage units, establishment of a separate special survey sub-frame, and procedures to prevent re-selection of ultimate sampling units. The methods are evaluated in a Monte Carlo study using Census data to simulate the design for the Canadian Labour Force Survey.Release date: 1978-12-15
- 5. Non-response and imputation ArchivedArticles and reports: 12-001-X197800254830Description: The problems of dealing with non-response at various stages of survey planning are discussed with implications for the mean square error, practicality and possible advantages and disadvantages. Conceptual issues of editing and imputation are also considered with regard to complexity and levels of imputation. The methods of imputation include weighting, duplication, and substitution of historical records. The paper includes some methodology on the bias and variance.Release date: 1978-12-15
- 6. Stratification index: Methodology and analysis ArchivedArticles and reports: 12-001-X197600200002Description: To obtain estimates of means or totals for a universe, a sample of units is often drawn to represent the universe and these units are then surveyed. One of the most important procedures used in the selection of the units is that of stratification, whereby the universe is split up into strata and independent samples of units are drawn from each stratum. A stratification index is developed to indicate the approximate fractional reduction in the sampling variance from that which would result if no stratification were undertaken. Also the methodology is extended to examine the effect of stratification on the sampling variance at different levels of stratification through the concept of a summary index. The stratification index is also extended to the case of ratio estimates using independent source data to re-weight the sample data. The index has been applied to the Canadian Labour Force Survey (LFS), a typical multi-stage stratified sample where ratio estimation, using projected age-sex population estimates is applied and empirical data are presented and analyzed.Release date: 1976-12-13
- Articles and reports: 12-001-X197600100006Description: Multi-stage statistical surveys as a means of obtaining socioeconomic characteristics for the population have been in use for many years. Each survey requires an extensive and precise sample design which is governed by the cost structure for obtaining the data and the variance of the characteristic data between units at various stages of sampling. The authors analyzed variance components derived from one month's data of the Canadian Labour Force Survey and examined the variance that would have resulted under different allocation strategies in Table 6 and for different average sizes of units in Table 7. The percentage components of variance, the design effects by stage of sampling and population variances between units of the various stages, as well as measures of homogeneity for households within stages, are derived and shown in Tables 2 to 5. The analysis was carried out for the Canadian Labour Force Survey, but the methodology of component of variance estimation (Gray [4]) and the methods used to analyze the results of a particular survey are readily applied to any multi-stage statistical sample survey, where Horvitz-Thompsen estimators and ratio estimation are applied.Release date: 1976-06-14
- 8. Some variance estimators for multistage sampling ArchivedArticles and reports: 12-001-X197500254829Description: J.N.K. Rao (1975) derived a general formula for estimating the variance in multistage sample designs. This general formula extends the previous results by Des Raj (1966) to the case where the conditional variance from a given primary sampling unit is a random variable. The authors reviewed Rao's paper for its application to Horvitz-Thompson and Yates-Grundy variance estimators as well as the variance estimator for the random group method by Rao, Hartley and Cochran (1962). The authors present an altered version of the Yates-Grundy variance estimators as a result of Rao's paper.Release date: 1975-12-15
- Articles and reports: 12-001-X197500254832Description: A ratio estimate based on an auxiliary variable is considered for the case when the sample is post-stratified using information on another auxiliary variable. The variance of the ratio estimate is derived by the method of linearization [3,4]. An application to subprovincial estimation in the Canadian Labour Force Survey is discussed.Release date: 1975-12-15
- Articles and reports: 12-001-X197500100002Description: In 1962, Hartley and Rao derived an asymptotic formula for the joint probability selection for samples selected with unequal probability sampling. In 1966, Connor, derived an exact formula for this joint probability, however, his formulae were very involved. In the present paper the authors, using a modification of Connor's formula derive the exact joint probabilities using a specially designed computer algorithm.Release date: 1975-06-16