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- Articles and reports: 12-001-X199100214502Description:
A sample design for the initial selection, sample rotation and updating for sub-annual business surveys is proposed. The sample design is a stratified clustered design, with the stratification being carried out on the basis of industry, geography and size. Sample rotation of the sample units is carried out under time-in and time-out constraints. Updating is with respect to the selection of births (new businesses), removal of deaths (defunct businesses) and implementation of changes in the classification variables used for stratification, i.e. industry, geography and size. A number of alternate estimators, including the simple expansion estimator and Mickey’s (1959) unbiased ratio-type estimator have been evaluated for this design in an empirical study under various survey conditions. The problem of variance estimation has also been considered using the Taylor linearization method and the jackknife technique.
Release date: 1991-12-16 - Articles and reports: 12-001-X198500114365Description:
The cost-variance optimization of the design of the Canadian Labour Force Survey was carried out in two steps. First, the sample designs were optimized for each of the two major area types, the Self-Representing (SR) and the Non-Self-Representing (NSR) areas. Cost models were developed and parameters estimated from a detailed field study and by simulation, while variances were estimated using data from the Census of Population. The scope of the optimization included the allocation of sample to the two stages in the SR design, and the consideration of two alternatives to the old design in NSR areas. The second stage of optimization was the allocation of sample to SR and NSR areas.
Release date: 1985-06-14 - Articles and reports: 12-001-X198400214353Description:
Following each decennial population census, the Canadian Labour Force Survey (CLFS) has undergone a sample redesign to reflect changes in population characteristics and to respond to changes in information needs. The current redesign program which culminated with introduction of a new sample at the beginning of 1985 included extensive research into improved sample design, data collection and estimation methodologies, highlights of which are described.
Release date: 1984-12-14 - 4. Sampling on two occasions with probabilities proportional to size without replacement (PPSWOR) ArchivedArticles and reports: 12-001-X198300114340Description:
A theory of sampling on two occasions with unequal probabilities and without replacement is presented. Fellegi’s (1963) method, which yields the same selection probabilities for a given unit on each occasion, is used to select the units for the rotation sample. The variances of composite estimators of the population total on the second occasion are developed. Numerical results are presented for small sample sizes and efficiency comparisons are made with a competing strategy.
Release date: 1983-06-15 - 5. Construction of working probabilities and joint selection probabilities for Fellegi’s PPS sampling scheme ArchivedArticles and reports: 12-001-X198100154935Description:
A FORTRAN Subroutine to obtain the “working probabilities” for Fellegi’s (1963) method of unequal probability sampling is given. The solution is obtained by an iterative procedure where the starting values for the (k+l)th draw “working probabilities” are the solutions for the kth draw “working probabilities” and the iterative procedure is terminated when a prespecified accuracy is achieved. The limitation is that the Subroutine can only be used to obtain up to and including the 5th draw “working probabilities”. It was observed that the convergence occurs very fast in double precision. Therefore all real variables have been declared as double precision. The joint selection probabilities \Pi_{ij}’s i.e. the probability that both the ith and jth units are in the sample are obtained by summing the probabilities of selecting those samples that contain both the ith and jth units. The joint selection probabilities are required for the variance estimation of the Horvitz-Thompson estimator of population total of the characteristic of interest.
Release date: 1981-06-15 - Articles and reports: 12-001-X197900254834Description: An alternative to the direct selection of sample is suggested, which while retaining the efficiency at the same level simplifies the selection and variance estimation processes in a wide variety of situations. If n* is the largest feasible pPS sample size that can be drawn from a given population of size N, then the proposed method entails selection of m (=N - n*) units using a pPS scheme and rejecting these units from the population such that the remainder is a pPS sample of n* units; the final sample of n units is then selected as a subsample from the remainder set. This method for selecting the pPS sample can be seen as an analogue of SRS where it is well known that the “unsampled” part of the population as well as any subsample from this part are also SRS from the entire population when SRS is the procedure used. The method is very practical for situations where m is less than the actual sample size n. Moreover, the method has the additional advantage in the context of continuing surveys, e.g. Canadian Labour Force Survey (LFS), where the number of primary sampling units (PSU’s) may have to be increased (or decreased) subsequent to the initial selection of the sample. The method also has advantages in the case of sample rotation. Main features of the proposed scheme and its limitations are given. Efficiency of the method is also evaluated empirically.Release date: 1979-12-15
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Articles and reports (6)
Articles and reports (6) ((6 results))
- Articles and reports: 12-001-X199100214502Description:
A sample design for the initial selection, sample rotation and updating for sub-annual business surveys is proposed. The sample design is a stratified clustered design, with the stratification being carried out on the basis of industry, geography and size. Sample rotation of the sample units is carried out under time-in and time-out constraints. Updating is with respect to the selection of births (new businesses), removal of deaths (defunct businesses) and implementation of changes in the classification variables used for stratification, i.e. industry, geography and size. A number of alternate estimators, including the simple expansion estimator and Mickey’s (1959) unbiased ratio-type estimator have been evaluated for this design in an empirical study under various survey conditions. The problem of variance estimation has also been considered using the Taylor linearization method and the jackknife technique.
Release date: 1991-12-16 - Articles and reports: 12-001-X198500114365Description:
The cost-variance optimization of the design of the Canadian Labour Force Survey was carried out in two steps. First, the sample designs were optimized for each of the two major area types, the Self-Representing (SR) and the Non-Self-Representing (NSR) areas. Cost models were developed and parameters estimated from a detailed field study and by simulation, while variances were estimated using data from the Census of Population. The scope of the optimization included the allocation of sample to the two stages in the SR design, and the consideration of two alternatives to the old design in NSR areas. The second stage of optimization was the allocation of sample to SR and NSR areas.
Release date: 1985-06-14 - Articles and reports: 12-001-X198400214353Description:
Following each decennial population census, the Canadian Labour Force Survey (CLFS) has undergone a sample redesign to reflect changes in population characteristics and to respond to changes in information needs. The current redesign program which culminated with introduction of a new sample at the beginning of 1985 included extensive research into improved sample design, data collection and estimation methodologies, highlights of which are described.
Release date: 1984-12-14 - 4. Sampling on two occasions with probabilities proportional to size without replacement (PPSWOR) ArchivedArticles and reports: 12-001-X198300114340Description:
A theory of sampling on two occasions with unequal probabilities and without replacement is presented. Fellegi’s (1963) method, which yields the same selection probabilities for a given unit on each occasion, is used to select the units for the rotation sample. The variances of composite estimators of the population total on the second occasion are developed. Numerical results are presented for small sample sizes and efficiency comparisons are made with a competing strategy.
Release date: 1983-06-15 - 5. Construction of working probabilities and joint selection probabilities for Fellegi’s PPS sampling scheme ArchivedArticles and reports: 12-001-X198100154935Description:
A FORTRAN Subroutine to obtain the “working probabilities” for Fellegi’s (1963) method of unequal probability sampling is given. The solution is obtained by an iterative procedure where the starting values for the (k+l)th draw “working probabilities” are the solutions for the kth draw “working probabilities” and the iterative procedure is terminated when a prespecified accuracy is achieved. The limitation is that the Subroutine can only be used to obtain up to and including the 5th draw “working probabilities”. It was observed that the convergence occurs very fast in double precision. Therefore all real variables have been declared as double precision. The joint selection probabilities \Pi_{ij}’s i.e. the probability that both the ith and jth units are in the sample are obtained by summing the probabilities of selecting those samples that contain both the ith and jth units. The joint selection probabilities are required for the variance estimation of the Horvitz-Thompson estimator of population total of the characteristic of interest.
Release date: 1981-06-15 - Articles and reports: 12-001-X197900254834Description: An alternative to the direct selection of sample is suggested, which while retaining the efficiency at the same level simplifies the selection and variance estimation processes in a wide variety of situations. If n* is the largest feasible pPS sample size that can be drawn from a given population of size N, then the proposed method entails selection of m (=N - n*) units using a pPS scheme and rejecting these units from the population such that the remainder is a pPS sample of n* units; the final sample of n units is then selected as a subsample from the remainder set. This method for selecting the pPS sample can be seen as an analogue of SRS where it is well known that the “unsampled” part of the population as well as any subsample from this part are also SRS from the entire population when SRS is the procedure used. The method is very practical for situations where m is less than the actual sample size n. Moreover, the method has the additional advantage in the context of continuing surveys, e.g. Canadian Labour Force Survey (LFS), where the number of primary sampling units (PSU’s) may have to be increased (or decreased) subsequent to the initial selection of the sample. The method also has advantages in the case of sample rotation. Main features of the proposed scheme and its limitations are given. Efficiency of the method is also evaluated empirically.Release date: 1979-12-15
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