Frames and coverage

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  • Articles and reports: 11-522-X20050019454
    Geography: Canada
    Description:

    The goal of the BR Redesign Project is to simplify, optimize, and harmonize its processes and methods. This paper provides an overview of the BR Redesign with emphasis on the issues that affect the methodology of business surveys.

    Release date: 2007-03-02

  • Articles and reports: 12-001-X20060029551
    Description:

    To select a survey sample, it happens that one does not have a frame containing the desired collection units, but rather another frame of units linked in a certain way to the list of collection units. It can then be considered to select a sample from the available frame in order to produce an estimate for the desired target population by using the links existing between the two. This can be designated by Indirect Sampling.

    Estimation for the target population surveyed by Indirect Sampling can constitute a big challenge, in particular if the links between the units of the two are not one-to-one. The problem comes especially from the difficulty to associate a selection probability, or an estimation weight, to the surveyed units of the target population. In order to solve this type of estimation problem, the Generalized Weight Share Method (GWSM) has been developed by Lavallée (1995) and Lavallée (2002). The GWSM provides an estimation weight for every surveyed unit of the target population.

    This paper first describes Indirect Sampling, which constitutes the foundations of the GWSM. Second, an overview of the GWSM is given where we formulate the GWSM in a theoretical framework using matrix notation. Third, we present some properties of the GWSM such as unbiasedness and transitivity. Fourth, we consider the special case where the links between the two populations are expressed by indicator variables. Fifth, some special typical linkages are studied to assess their impact on the GWSM. Finally, we consider the problem of optimality. We obtain optimal weights in a weak sense (for specific values of the variable of interest), and conditions for which these weights are also optimal in a strong sense and independent of the variable of interest.

    Release date: 2006-12-21

  • Articles and reports: 11-522-X20040018752
    Description:

    This paper outlines some possible applications of the permanent sample of households ready to respond with respect to surveying difficult-to-reach population groups.

    Release date: 2005-10-27

  • Articles and reports: 11-522-X20040018756
    Description:

    This paper evaluates several approaches that have been used to construct or augment frames for a variety of Statistics Canada surveys. On the basis of these experiences, some good practices for frame construction and use are proposed.

    Release date: 2005-10-27

  • Articles and reports: 12-001-X20040027756
    Description:

    It is usually discovered in the data collection phase of a survey that some units in the sample are ineligible even if the frame information has indicated otherwise. For example, in many business surveys a nonnegligible proportion of the sampled units will have ceased trading since the latest update of the frame. This information may be fed back to the frame and used in subsequent surveys, thereby making forthcoming samples more efficient by avoiding sampling ineligible units. On the first of two survey occasions, we assume that all ineligible units in the sample (or set of samples) are detected and excluded from the frame. On the second occasion, a subsample of the eligible part is observed again. The subsample may be augmented with a fresh sample that will contain both eligible and ineligible units. We investigate what effect on survey estimation the process of feeding back information on ineligibility may have, and derive an expression for the bias that can occur as a result of feeding back. The focus is on estimation of the total using the common expansion estimator. An estimator that is nearly unbiased in the presence of feed back is obtained. This estimator relies on consistent estimates of the number of eligible and ineligible units in the population being available.

    Release date: 2005-02-03

  • Articles and reports: 11-522-X20030017596
    Description:

    This paper discusses the measurement problems that affected the Demographic Analysis (DA), a coverage measurement program used for Census 2000.

    Release date: 2005-01-26

  • Surveys and statistical programs – Documentation: 92-394-X
    Description:

    This report deals with coverage errors that occur when persons, households, dwellings or families are missed or enumerated in error by the census. After the 2001 Census was taken, a number of studies were carried out to estimate gross undercoverage, gross overcoverage and net undercoverage. This report presents the results of the Dwelling Classification Study, the Reverse Record Check Study, the Automated Match Study and the Collective Dwelling Study. The report first describes census universes, coverage error and census collection and processing procedures that may result in coverage error. Then it gives estimates of net undercoverage for a number of demographic characteristics. After, the technical report presents the methodology and results of each coverage study and the estimates of coverage error after describing how the results of the various studies are combined. A historical perspective completes the product.

    Release date: 2004-11-25

  • Articles and reports: 12-001-X20030026777
    Description:

    The Accuracy and Coverage Evaluation survey was conducted to estimate the coverage in the 2000 U.S. Census. After field procedures were completed, several types of missing data had to be addressed to apply dual-system estimation. Some housing units were not interviewed. Two noninterview adjustments were devised from the same set of interviews, one for each of two points in time. In addition, the resident, match, or enumeration status of some respondents was not determined. Methods applied in the past were replaced to accommodate a tighter schedule to compute and verify the estimates. This paper presents the extent of missing data in the survey, describes the procedures applied, comparing them to past and current alternatives, and provides analytical summaries of the procedures, including comparisons of dual-system estimates of population under alternatives. Because the resulting levels of missing data were low, it appears that alternative procedures would not have affected the results substantially. However some changes in the estimates are noted.

    Release date: 2004-01-27

  • Articles and reports: 12-001-X20030026780
    Description:

    Coverage errors and other coverage issues related to the population censuses are examined in the light of the recent literature. Especially, when the actual population census count of persons are matched with their corresponding post enumeration survey counts, the aggregated results in a dual record system setting can provide some coverage error statistics.

    In this paper, the coverage error issues are evaluated and alternative solutions are discussed in the light of the results from the latest Population Census of Turkey. By using the Census and post enumeration survey data, regional comparison of census coverage was also made and has shown greater variability among regions. Some methodological remarks are also made on the possible improvements on the current enumeration procedures.

    Release date: 2004-01-27

  • Articles and reports: 12-001-X20020026431
    Description:

    When stand-alone sampling frames that list all establishments and their measures of size are available, establishment surveys typically use the Hansen-Hurwitz (HH) PPS (probability proportional to size) estimator to estimate the volume of transactions that establishments have with populations. This paper proposes the network sampling (NS) version of the HH estimator as a potential competitor of the PPS estimator. The NS estimator depends on the population survey-generated establishment frame that lists households and their selection probabilities in a population sample survey, and the number of transactions, if any, of each household with each establishment. A statistical model is developed in this paper to compare the efficiencies of the HH and NS estimators in single-stage and two-stage establishment sample surveys assuming the stand-alone sampling frame and the population survey-generated frame are flawless in coverage and size measures.

    Release date: 2003-01-29
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Analysis (51)

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  • Stats in brief: 11-629-X2019004
    Description:

    This video explains the Necessity and Proportionality Framework, which assesses data sensitivity and gathering in a more integrated way while ensuring the data needs of Canadians are met.

    Release date: 2019-11-26

  • Stats in brief: 11-629-X2016003
    Description:

    Discover how the Enterprise Portfolio Management team (EPM) supports some of Canada’s largest enterprises.

    Release date: 2016-06-02

  • Articles and reports: 12-001-X201500114149
    Description:

    This paper introduces a general framework for deriving the optimal inclusion probabilities for a variety of survey contexts in which disseminating survey estimates of pre-established accuracy for a multiplicity of both variables and domains of interest is required. The framework can define either standard stratified or incomplete stratified sampling designs. The optimal inclusion probabilities are obtained by minimizing costs through an algorithm that guarantees the bounding of sampling errors at the domains level, assuming that the domain membership variables are available in the sampling frame. The target variables are unknown, but can be predicted with suitable super-population models. The algorithm takes properly into account this model uncertainty. Some experiments based on real data show the empirical properties of the algorithm.

    Release date: 2015-06-29

  • Articles and reports: 12-001-X201400214128
    Description:

    Users, funders and providers of official statistics want estimates that are “wider, deeper, quicker, better, cheaper” (channeling Tim Holt, former head of the UK Office for National Statistics), to which I would add “more relevant” and “less burdensome”. Since World War II, we have relied heavily on the probability sample survey as the best we could do - and that best being very good - to meet these goals for estimates of household income and unemployment, self-reported health status, time use, crime victimization, business activity, commodity flows, consumer and business expenditures, et al. Faced with secularly declining unit and item response rates and evidence of reporting error, we have responded in many ways, including the use of multiple survey modes, more sophisticated weighting and imputation methods, adaptive design, cognitive testing of survey items, and other means to maintain data quality. For statistics on the business sector, in order to reduce burden and costs, we long ago moved away from relying solely on surveys to produce needed estimates, but, to date, we have not done that for household surveys, at least not in the United States. I argue that we can and must move from a paradigm of producing the best estimates possible from a survey to that of producing the best possible estimates to meet user needs from multiple data sources. Such sources include administrative records and, increasingly, transaction and Internet-based data. I provide two examples - household income and plumbing facilities - to illustrate my thesis. I suggest ways to inculcate a culture of official statistics that focuses on the end result of relevant, timely, accurate and cost-effective statistics and treats surveys, along with other data sources, as means to that end.

    Release date: 2014-12-19

  • Articles and reports: 12-001-X201100111443
    Description:

    Dual frame telephone surveys are becoming common in the U.S. because of the incompleteness of the landline frame as people transition to cell phones. This article examines nonsampling errors in dual frame telephone surveys. Even though nonsampling errors are ignored in much of the dual frame literature, we find that under some conditions substantial biases may arise in dual frame telephone surveys due to these errors. We specifically explore biases due to nonresponse and measurement error in these telephone surveys. To reduce the bias resulting from these errors, we propose dual frame sampling and weighting methods. The compositing factor for combining the estimates from the two frames is shown to play an important role in reducing nonresponse bias.

    Release date: 2011-06-29

  • Articles and reports: 11-522-X200800010972
    Description:

    Background: Evaluation of the coverage that results from linking routinely collected administrative hospital data with survey data is an important preliminary step to undertaking analyses based on the linked file. Data and methods: To evaluate the coverage of the linkage between data from cycle 1.1 of the Canadian Community Health Survey (CCHS) and in-patient hospital data (Health Person-Oriented Information or HPOI), the number of people admitted to hospital according to HPOI was compared with the weighted estimate for CCHS respondents who were successfully linked to HPOI. Differences between HPOI and the linked and weighted CCHS estimate indicated linkage failure and/or undercoverage. Results: According to HPOI, from September 2000 through November 2001, 1,572,343 people (outside Quebec) aged 12 or older were hospitalized. Weighted estimates from the linked CCHS, adjusted for agreement to link and plausible health number, were 7.7% lower. Coverage rates were similar for males and females. Provincial rates did not differ from those for the rest of Canada, although differences were apparent for the territories. Coverage rates were significantly lower among people aged 75 or older than among those aged 12 to 74.

    Release date: 2009-12-03

  • Articles and reports: 11-522-X200800010979
    Description:

    Prior to 2006, the Canadian Census of Population relied on field staff to deliver questionnaires to all dwellings in Canada. For the 2006 Census, an address frame was created to cover almost 70% of dwellings in Canada, and these questionnaires were delivered by Canada Post. For the 2011 Census, Statistics Canada aims to expand this frame further, with a target of delivering questionnaires by mail to between 80% and 85% of dwellings. Mailing questionnaires for the Census raises a number of issues, among them: ensuring returned questionnaires are counted in the right area, creating an up to date address frame that includes all new growth, and determining which areas are unsuitable for having questionnaires delivered by mail. Changes to the address frame update procedures for 2011, most notably the decision to use purely administrative data as the frame wherever possible and conduct field update exercises only where deemed necessary, provide a new set of challenges for the 2011 Census.

    Release date: 2009-12-03

  • Articles and reports: 11-522-X200600110420
    Description:

    Most major survey research organizations in the United States and Canada do not include wireless telephone numbers when conducting random-digit-dialed (RDD) household telephone surveys. In this paper, we offer the most up-to-date estimates available from the U.S. National Center for Health Statistics and Statistics Canada concerning the prevalence and demographic characteristics of the wireless-only population. We then present data from the U.S. National Health Interview Survey on the health and health care access of wireless-only adults, and we examine the potential for coverage bias when health research is conducted using RDD surveys that exclude wireless telephone numbers.

    Release date: 2008-03-17

  • Articles and reports: 12-001-X200700210497
    Description:

    Coverage deficiencies are estimated and analysed for the 2000 population census in Switzerland. For the undercoverage component, the estimation is based on a sample independent of the census and a match with the census. For the overcoverage component, the estimation is based on a sample drawn from the census list and a match with the rest of the census. The over- and undercoverage components are then combined to obtain an estimate of the resulting net coverage. This estimate is based on a capture-recapture model, named the dual system, combined with a synthetic model. The estimators are calculated for the full population and different subgroups, with a variance estimated by a stratified jackknife. The coverage analyses are supplemented by a study of matches between the independent sample and the census in order to determine potential errors of measurement and location in the census data.

    Release date: 2008-01-03

  • Articles and reports: 11-522-X20050019449
    Description:

    Literature about Multiple Frame estimation theory mainly concentrates over the Dual Frame case and it is only rarely concerned with the important practical issue of the variance estimation. By using a multiplicity approach a fixed weights Single Frame estimator for Multiple Frame Survey is proposed.

    Release date: 2007-03-02
Reference (18)

Reference (18) (0 to 10 of 18 results)

  • Surveys and statistical programs – Documentation: 98-303-X
    Description:

    The Coverage Technical Report will present the error included in census data that results from either persons being missed (not enumerated) or from persons being enumerated more than once by the 2016 Census. The population coverage error is one of the most important types of errors because it affects not only the accuracy of population counts, but also the accuracy of all the census data results describing the characteristics of the population universe.

    Release date: 2019-11-13

  • Surveys and statistical programs – Documentation: 11-522-X201700014708
    Description:

    Statistics Canada’s Household Survey Frames (HSF) Programme provides various universe files that can be used alone or in combination to improve survey design, sampling, collection, and processing in the traditional “need to contact a household model.” Even as surveys are migrating onto these core suite of products, the HSF is starting to plan the changes to infrastructure, organisation, and linkages with other data assets in Statistics Canada that will help enable a shift to increased use of a wide variety of administrative data as input to the social statistics programme. The presentation will provide an overview of the HSF Programme, foundational concepts that will need to be implemented to expand linkage potential, and will identify strategic research being under-taken toward 2021.

    Release date: 2016-03-24

  • Surveys and statistical programs – Documentation: 11-522-X201300014269
    Description:

    The Census Overcoverage Study (COS) is a critical post-census coverage measurement study. Its main objective is to produce estimates of the number of people erroneously enumerated, by province and territory, study the characteristics of individuals counted multiple times and identify possible reasons for the errors. The COS is based on the sampling and clerical review of groups of connected records that are built by linking the census response database to an administrative frame, and to itself. In this paper we describe the new 2011 COS methodology. This methodology has incorporated numerous improvements including a greater use of probabilistic record-linkage, the estimation of linking parameters with an Expectation-Maximization (E-M) algorithm, and the efficient use of household information to detect more overcoverage cases.

    Release date: 2014-10-31

  • Surveys and statistical programs – Documentation: 12-001-X201100211608
    Description:

    Designs and estimators for the single frame surveys currently used by U.S. government agencies were developed in response to practical problems. Federal household surveys now face challenges of decreasing response rates and frame coverage, higher data collection costs, and increasing demand for small area statistics. Multiple frame surveys, in which independent samples are drawn from separate frames, can be used to help meet some of these challenges. Examples include combining a list frame with an area frame or using two frames to sample landline telephone households and cellular telephone households. We review point estimators and weight adjustments that can be used to analyze multiple frame surveys with standard survey software, and summarize construction of replicate weights for variance estimation. Because of their increased complexity, multiple frame surveys face some challenges not found in single frame surveys. We investigate misclassification bias in multiple frame surveys, and propose a method for correcting for this bias when misclassification probabilities are known. Finally, we discuss research that is needed on nonsampling errors with multiple frame surveys.

    Release date: 2011-12-21

  • Surveys and statistical programs – Documentation: 87-542-X
    Geography: Canada
    Description:

    This series the Canadian Framework for Culture Statistics 2011 replaces the 2004 Canadian Framework for Culture Statistics (Catalogue 81-595-MIE2004021).

    The first issue of this series presents the conceptual framework, including a definition of culture, domains and sub-domains, and criteria for their inclusion in culture. The second issue is a guide that maps the conceptual framework to selected standard classification systems. It is intended to foster a standard approach to the measurement of culture in Canada.

    Release date: 2011-10-24

  • Surveys and statistical programs – Documentation: 87-542-X2011001
    Geography: Canada
    Description:

    The first issue of the series presents the Conceptual Framework for Culture Statistics 2011, a revision of the 2004 Canadian Framework for Culture Statistics.

    The conceptual framework contains an official statistical definition of culture and describes a set of culture domains that can be used to measure culture from creation to use.

    Release date: 2011-10-24

  • Surveys and statistical programs – Documentation: 87-542-X2011002
    Geography: Canada
    Description:

    The second issue of this series is a companion piece to the Conceptual Framework for Culture Statistics 2011, a revision to the 2004 Canadian Framework for Culture Statistics.

    The guide maps the 2011 Canadian framework for culture statistics to the following Statistics Canada's standard classification systems: the North American Industry Classification System (NAICS) 2007, the North American Product Classification System (NAPCS) - Canada (Provisional Version 0.1), National Occupational Classification - Statistics (NOC-S) 2006 and Classification of Instructional Programs (CIP), Canada, 2000.

    It contains explanations, definitions and examples of how the classification codes are mapped to the conceptual framework. It also contains a series of tables that contain codes, by classification system, which help illustrate the framework domains and sub-domains, and flags those codes that do not map well to the framework.

    Release date: 2011-10-24

  • Surveys and statistical programs – Documentation: 92-567-X
    Description:

    The Coverage Technical Report will present the error included in census data that results from persons missed by the 2006 Census or persons enumerated in error. Population coverage errors are one of the most important types of error because they affect not only the accuracy of population counts but also the accuracy of all of the census data describing characteristics of the population universe.

    Release date: 2010-03-25

  • Surveys and statistical programs – Documentation: 12-001-X200700210492
    Description:

    Multiple Frame Surveys were originally proposed to foster cost savings on the basis of an optimality approach. As surveys on special, rare and difficult-to-sample populations are becoming more prominent, a single list of population units to be used as a sampling frame is often unavailable in sampling practice. In recent literature multiple frame designs have been put forward in order to increase population coverage, to improve response rates and to capture differences and subgroups. Alternative approaches to multiple frame estimation have appeared, all of them relying upon the virtual partition of the set of the available overlapping frames into disjointed domains. Hence the correct classification of sampled units into the domains is required for practical applications. In this paper a multiple frame estimator is proposed using a multiplicity approach. Multiplicity estimators require less information about unit domain membership hence they are insensitive to misclassification. Moreover the proposed estimator is analytically simple so that it is easy to implement and its exact variance is given. Empirical results from an extensive simulation study comparing the multiplicity estimator with major competitors are also provided.

    Release date: 2008-01-03

  • Surveys and statistical programs – Documentation: 92-394-X
    Description:

    This report deals with coverage errors that occur when persons, households, dwellings or families are missed or enumerated in error by the census. After the 2001 Census was taken, a number of studies were carried out to estimate gross undercoverage, gross overcoverage and net undercoverage. This report presents the results of the Dwelling Classification Study, the Reverse Record Check Study, the Automated Match Study and the Collective Dwelling Study. The report first describes census universes, coverage error and census collection and processing procedures that may result in coverage error. Then it gives estimates of net undercoverage for a number of demographic characteristics. After, the technical report presents the methodology and results of each coverage study and the estimates of coverage error after describing how the results of the various studies are combined. A historical perspective completes the product.

    Release date: 2004-11-25
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