Frames and coverage

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  • Articles and reports: 12-001-X199500114410
    Description:

    As part of the decision on adjustment of the 1990 Decennial Census, the U.S. Census Bureau investigated possible heterogeneity of undercount rates between parts of different states falling in the same adjustment cell or poststratum. Five “surrogate variables” believed to be associated with undercount were analyzed using a large extract from the census and significant heterogeneity was found. Analysis of Post Enumeration Survey on undercount rates showed that more variance was explained by poststratification variables than by state, supporting the decision to use the poststratum as the adjustment cell. Significant interstate heterogeneity was found in 19 out of 99 poststratum groups (mainly in nonurban areas), but there was little if any evidence that the poststratified estimator was biased against particular states after aggregating across poststrata. Nonetheless, this issue should be addressed in future coverage evaluation studies.

    Release date: 1995-06-15

  • Articles and reports: 12-001-X199500114411
    Description:

    In 1991, Statistics Canada for the first time adjusted the Population Estimates Program for undercoverage in the 1991 Census. The Census coverage studies provided reliable estimates of undercoverage at the provincial level and for national estimates of large age - sex domains. However, the population series required estimates of undercoverage for age - sex domains within each province and territory. Since the direct survey estimates for some of these small domains had large standard errors due to the small sample size in the domain, small area modelling techniques were needed. In order to incorporate the varying degrees of reliability of the direct survey estimates, a regression model utilizing an Empirical Bayes methodology was used to estimate the undercoverage in small domains. A raking ratio procedure was then applied to the undercoverage estimates to preserve consistency with the marginal direct survey estimates. The results of this modelling process are shown along with the estimated reduction in standard errors.

    Release date: 1995-06-15

  • Articles and reports: 12-001-X199400214422
    Description:

    Dual system estimation (DSE) has been used since 1950 by the U.S. Bureau of Census for coverage evaluation of the decennial census. In the DSE approach, data from a sample is combined with data from the census to estimate census undercount and overcount. DSE relies upon the assumption that individuals in both the census and the sample can be matched perfectly. The unavoidable mismatches and erroneous nonmatches reduce the accuracy of the DSE. This paper reconsiders the DSE approach by relaxing the perfect matching assumption and proposes models to describe two types of matching errors, false matches of nonmatching cases and false nonmatches of matching cases. Methods for estimating population total and census undercount are presented and illustrated using data from 1986 Los Angeles test census and 1990 Decennial Census.

    Release date: 1994-12-15

  • Articles and reports: 12-001-X199400214425
    Description:

    We present a formal model based sampling solution to the problem of estimating list frame size based on capture-recapture sampling which has been widely used for animal populations and for adjusting the US census. For two incomplete lists it is easy to estimate total frame size using the Lincoln-Petersen estimator. This estimator is model based with a key assumption being independence of the two lists. Once an estimator of the population (frame) size has been obtained it is possible to obtain an estimator of a population total for some characteristic if a sample of units has that characteristic measured. A discussion of the properties of this estimator will be presented. An example where the establishments are fishing boats taking part in an ocean fishery off the Atlantic Coast of the United States is presented. Estimation of frame size and then population totals using a capture-recapture model is likely to have broad application in establishment surveys due to practicality and cost savings but possible biases due to assumption violations need to be considered.

    Release date: 1994-12-15

  • Articles and reports: 12-001-X199400214426
    Description:

    In the MARS Project (Monitoring Agriculture with Remote Sensing) of the E.C. (European Community), area frames based on a square grid are used for area estimation through ground surveys and high resolution satellite images. These satellite images are useful, though expensive, for area estimation: their use for yield estimation is not yet operational. To fill this gap the sample elements (segments) of the area survey are used as well for sampling farms with a template of points overlaid on the segment. Most often we use a fixed number of points per segment. Farmers are asked to provide global data for the farm, and estimates are computed with a Horvitz-Thompson approach. Major problems include locating farmers and checking for misunderstanding of instructions. Good results are obtained for area and for production of the main crops. Area frames need to be complemented with list frames (multiple frames) to give reliable estimates for livestock.

    Release date: 1994-12-15

  • Articles and reports: 12-001-X199300214454
    Description:

    This study covers such imperfect frames in which no population unit has been excluded from the frame but an unspecified number of population units may have been included in the list an unspecified number of times each with a separate identification. When the availability of auxiliary information on any unit in the imperfect frame is not assumed, it is established that for estimation of a population ratio or a mean, the mean square errors of estimators based on the imperfect frame are less than those based on the perfect frame for simple random sampling when the sampling fractions of perfect and imperfect frames are the same. For estimation of a population total, however, this is not always true. Also, there are situations in which estimators of a ratio, a mean or a total based on smaller sampling fraction from imperfect frame can have smaller mean square error than those based on a larger sampling fraction from the perfect frame.

    Release date: 1993-12-15

  • Articles and reports: 12-001-X199300114472
    Description:

    Two stage random digit dialing procedures as developed by Mitofsky and elaborated by Waksberg are widely used in telephone sampling of the U.S. household population. Current alternative approaches have, relative to this procedure, coverage and cost deficiencies. These deficiencies are addressed through telephone sample designs which use listed number information to improve the cost-efficiency of random digit dialing. The telephone number frame is divided into a stratum in which listed number information is available at the 100-bank level and one for which no such information is available. The efficiencies of various sampling schemes for this stratified design are compared to simple random digit dialing and the Mitofsky-Waksberg technique. Gains in efficiency are demonstrated for nearly all such designs. Simplifying assumptions about the values of population parameters in each stratum are shown to have little overall impact on the estimated efficiency.

    Release date: 1993-06-15

  • Articles and reports: 12-001-X199200114495
    Description:

    The Address Register is a frame of residential addresses for medium and large urban centres covered by Geography Division’s Area Master File (AMF) at Statistics Canada. For British Columbia, the Address Register was extended to include smaller urban population centres as well as some rural areas. The paper provides an historical overview of the project, its objective as a means of reducing undercoverage in the 1991 Census of Canada, its sources and product, the methodology required for its initial production, the proposed post-censal evaluation and prospects for the future.

    Release date: 1992-06-15

  • Articles and reports: 12-001-X199200114496
    Description:

    The Population Estimates Program of Statistics Canada has traditionally been benchmarked to the most recent census, with no allowance for census coverage error. Because of a significant increase in the level of undercoverage in the 1986 Census, however, Statistics Canada is considering the possibility of adjusting the base population of the estimates program for net census undercoverage. This paper develops and compares four estimators of such a base population: the unadjusted census counts, the adjusted census counts, a preliminary test estimator, and a composite estimator. A generalization of previously-proposed risk functions, known as the Weighted Mean Square Error (WMSE), is used as the basis of comparison. The WMSE applies not only to population totals, but to functions of population totals such as population shares and growth rates between censuses. The use of the WMSE to develop and evaluate small-area estimators in the context of census adjustment is also described.

    Release date: 1992-06-15

  • Articles and reports: 12-001-X199000114553
    Description:

    The National Farm Survey is a sample survey which produces annual estimates on a variety of subjects related to agriculture in Canada. The 1988 survey was conducted using a new sample design. This design involved multiple sampling frames and multivariate sampling techniques different from those of the previous design. This article first describes the strategy and methods used to develop the new sample design, then gives details on factors affecting the precision of the estimates. Finally, the performance of the new design is assessed using the 1988 survey results.

    Release date: 1990-06-15
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Analysis (60)

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  • Articles and reports: 12-001-X199000114553
    Description:

    The National Farm Survey is a sample survey which produces annual estimates on a variety of subjects related to agriculture in Canada. The 1988 survey was conducted using a new sample design. This design involved multiple sampling frames and multivariate sampling techniques different from those of the previous design. This article first describes the strategy and methods used to develop the new sample design, then gives details on factors affecting the precision of the estimates. Finally, the performance of the new design is assessed using the 1988 survey results.

    Release date: 1990-06-15

  • Articles and reports: 12-001-X198900114575
    Description:

    The experience of the four Nordic countries illustrates the advantages and disadvantages of a register-based census of population and points to ways in which the disadvantages can be contained. Other countries see major obstacles to a register-based census: the lack of data systems of the kind and quality needed; and public concern about privacy and the power of the State. These issues go far beyond statistics; they concern policy and administration. The paper looks at the situation in two countries, the United Kingdom and Australia. In the United Kingdom past initiatives aimed at population registration in peacetime foundered and the present environment is hostile to any new initiative. But the government is going ahead with a controversial reform of local taxation that involves setting up new registers. In Australia the government tabled a Bill to introduce identity cards and an associated register, and advanced clearcut political arguments to support it; the Bill was later withdrawn. The paper concludes that the issues involved in reforming data systems deserve to be fully discussed and gives reasons why statisticians should take a leading part in the debate.

    Release date: 1989-06-15

  • Articles and reports: 12-001-X198800214590
    Description:

    This paper presents results from a study of the causes of census undercount for a hard-to-enumerate, largely Hispanic urban area. A framework for organizing the causes of undercount is offered, and various hypotheses about these causes are tested. The approach is distinctive for its attempt to quantify the sources of undercount and isolate problems of unique importance by controlling for other problems statistically.

    Release date: 1988-12-15

  • Articles and reports: 12-001-X198800214594
    Description:

    A significant increase in coverage error in the 1986 Census is revealed by both the Reverse Record Check and the demographic method presented in this paper. Considerable attention is paid to an evaluation of the various components of population growth, especially interprovincial migration. The paper concludes with an overview of two alternative methods for generating postcensal estimates: the currently-in-use, census-based model, and a flexible model using all relevant data in combination with the census.

    Release date: 1988-12-15

  • Articles and reports: 12-001-X198800114597
    Description:

    The U.S. Bureau of the Census will use a post-enumeration survey to measure the coverage of the 1990 Decennial Census. The Census Bureau has developed and tested new procedures aimed at increasing the accuracy of the survey. This paper describes the new methods. It discusses the categories of error that occur in a post-enumeration survey and means of evaluation to determine that the results are accurate. The new methods and the evaluation of the methods are discussed in the context of a recent test post-enumeration survey.

    Release date: 1988-06-15

  • Articles and reports: 12-001-X198500214373
    Description:

    In the first part of the paper a review of the historical literature concerning microfilmed manuscript census records is given. Several types of sampling designs have been used ranging in complexity from cluster and stratified random sampling to stratified two-stage cluster sampling. In the second part, a method is given to create a public use sample tape of the 1881 Census of Canada. This work was part of a pilot project for Public Archives of Canada and was carried out by the Social Science Computing Laboratory of the University of Western Ontario. The pilot project was designed to determine the merit and technical and economic feasibility of developing machine readable products from microfilm copies of the 1881 Census of Canada.

    Release date: 1985-12-16

  • Articles and reports: 12-001-X198000254947
    Description: This paper makes a proposal to create a new type of information bank, the “Synthetic Data Bank”. This type of bank would involve linking information from two data banks to create a third. The result would be that much greater use could be made of existing data banks in conjunction with new data collection activities. This would mean a significant reduction in the amount of data to be collected which, in effect, could potentially reduce both data collection costs and response burden. The paper suggests a number of considerations in developing statistical techniques to facilitate the creation of such an information linkage concept. Some of these techniques are to be found in modern literature’ others may well have to be developed.
    Release date: 1980-12-15

  • Articles and reports: 12-001-X198000154835
    Description:

    The Reverse Record Check is the main vehicle used to assess the level of undercoverage in the Canadian Census of Population. A sample of persons is selected from sources independent of the current census and extensive tracing operations are undertaken to determine the usual address of each selected person as of Census day. Census records are then checked to determine whether or not each selected person was enumerated. The tracing is by far the most complex, costly and time-consuming operation associated with this study. It involves extensive use of administrative records as well as tracing in the field. This paper describes the various tracing methods used as well as the success obtained from each of them.

    Release date: 1980-06-16

  • Articles and reports: 12-001-X197900254835
    Description: The problem considered in this paper is the estimation of various agricultural variables using a multiple frame approach. The list frame is completely contained within the area frame. The stratification for the list and area frames are based on different criteria. Overall, the multiple frame shows some gains in terms of variance over the area frame. However, a more careful analysis reveals problem areas associated with the list frame such as the method of stratification and the degeneration of list strata over time.
    Release date: 1979-12-15

  • Articles and reports: 12-001-X197800254834
    Description: 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
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