Survey design

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  • 61. Ten years of balanced sampling with the cube method: An appraisal Archived
    Articles and reports: 12-001-X201100211609
    Description:

    This paper presents a review and assessment of the use of balanced sampling by means of the cube method. After defining the notion of balanced sample and balanced sampling, a short history of the concept of balancing is presented. The theory of the cube method is briefly presented. Emphasis is placed on the practical problems posed by balanced sampling: the interest of the method with respect to other sampling methods and calibration, the field of application, the accuracy of balancing, the choice of auxiliary variables and ways to implement the method.

    Release date: 2011-12-21
  • 62. Innovations in survey sampling design: Discussion of three contributions presented at the U.S. Census Bureau Archived
    Articles and reports: 12-001-X201100211610
    Description:

    In this paper, a discussion of the three papers from the US Census Bureau special compilation is presented.

    Release date: 2011-12-21
  • 63. Results from the Canadian Household Panel Survey Pilot Archived
    Articles and reports: 89-648-X2011001
    Geography: Canada
    Description:

    In January 2006, a conference on longitudinal surveys hosted by Statistics Canada, the Social and Humanities Research Council of Canada (SSHRC) and the Canadian Institute of Health Research (CIHR) concluded that Canada lacks a longitudinal survey which collects information on multiple subjects such as family, human capital, labour health and follows respondents for a long period of time. Following this conference, funds were received from the Policy Research Data Gaps fund (PRDG) to support a pilot survey for a new Canadian Household Panel Survey (CHPS-Pilot). Consultations on the design and content were held with academic and policy experts in 2007 and 2008, and a pilot survey was conducted in the fall of 2008. The objectives of the pilot survey were to (1) test a questionnaire, evaluate interview length and measure the quality of data collected, (2) evaluate several design features; and (3) test reactions to the survey from respondents and field workers. The pilot survey achieved a response rate of 76%, with a median household interview time of 64 minutes. Several innovative design features were tested, and found to be viable. Response to the survey, whether from respondents or interviewers, was generally positive. This paper highlights these and other results from the CHPS-Pilot.

    Release date: 2011-09-14
  • 64. The construction of stratified designs in R with the package stratification Archived
    Articles and reports: 12-001-X201100111447
    Description:

    This paper introduces a R-package for the stratification of a survey population using a univariate stratification variable X and for the calculation of stratum sample sizes. Non iterative methods such as the cumulative root frequency method and the geometric stratum boundaries are implemented. Optimal designs, with stratum boundaries that minimize either the CV of the simple expansion estimator for a fixed sample size n or the n value for a fixed CV can be constructed. Two iterative algorithms are available to find the optimal stratum boundaries. The design can feature a user defined certainty stratum where all the units are sampled. Take-all and take-none strata can be included in the stratified design as they might lead to smaller sample sizes. The sample size calculations are based on the anticipated moments of the survey variable Y, given the stratification variable X. The package handles conditional distributions of Y given X that are either a heteroscedastic linear model, or a log-linear model. Stratum specific non-response can be accounted for in the design construction and in the sample size calculations.

    Release date: 2011-06-29
  • 65. Replication variance estimation under two-phase sampling Archived
    Articles and reports: 12-001-X201100111448
    Description:

    In two-phase sampling for stratification, the second-phase sample is selected by a stratified sample based on the information observed in the first-phase sample. We develop a replication-based bias adjusted variance estimator that extends the method of Kim, Navarro and Fuller (2006). The proposed method is also applicable when the first-phase sampling rate is not negligible and when second-phase sample selection is unequal probability Poisson sampling within each stratum. The proposed method can be extended to variance estimation for two-phase regression estimators. Results from a limited simulation study are presented.

    Release date: 2011-06-29
  • 66. Cost efficiency of repeated cluster surveys Archived
    Articles and reports: 12-001-X201100111449
    Description:

    We analyze the statistical and economic efficiency of different designs of cluster surveys collected in two consecutive time periods, or waves. In an independent design, two cluster samples in two waves are taken independently from one another. In a cluster-panel design, the same clusters are used in both waves, but samples within clusters are taken independently in two time periods. In an observation-panel design, both clusters and observations are retained from one wave of data collection to another. By assuming a simple population structure, we derive design variances and costs of the surveys conducted according to these designs. We first consider a situation in which the interest lies in estimation of the change in the population mean between two time periods, and derive the optimal sample allocations for the three designs of interest. We then propose the utility maximization framework borrowed from microeconomics to illustrate a possible approach to the choice of the design that strives to optimize several variances simultaneously. Incorporating the contemporaneous means and their variances tends to shift the preferences from observation-panel towards simpler panel-cluster and independent designs if the panel mode of data collection is too expensive. We present numeric illustrations demonstrating how a survey designer may want to choose the efficient design given the population parameters and data collection cost.

    Release date: 2011-06-29
  • 67. Statistical foundations of cell-phone surveys Archived
    Articles and reports: 12-001-X201000211382
    Description:

    The size of the cell-phone-only population in the USA has increased rapidly in recent years and, correspondingly, researchers have begun to experiment with sampling and interviewing of cell-phone subscribers. We discuss statistical issues involved in the sampling design and estimation phases of cell-phone studies. This work is presented primarily in the context of a nonoverlapping dual-frame survey in which one frame and sample are employed for the landline population and a second frame and sample are employed for the cell-phone-only population. Additional considerations necessary for overlapping dual-frame surveys (where the cell-phone frame and sample include some of the landline population) are also discussed. We illustrate the methods using the design of the National Immunization Survey (NIS), which monitors the vaccination rates of children age 19-35 months and teens age 13-17 years. The NIS is a nationwide telephone survey, followed by a provider record check, conducted by the Centers for Disease Control and Prevention.

    Release date: 2010-12-21
  • 68. An interesting property of the entropy of some sampling designs Archived
    Articles and reports: 12-001-X201000211385
    Description:

    In this short note, we show that simple random sampling without replacement and Bernoulli sampling have approximately the same entropy when the population size is large. An empirical example is given as an illustration.

    Release date: 2010-12-21
  • 69. Evaluating within household selection rules under a multi-stage design Archived
    Articles and reports: 12-001-X201000111243
    Description:

    The 2003 National Assessment of Adult Literacy (NAAL) and the international Adult Literacy and Lifeskills (ALL) surveys each involved stratified multi-stage area sample designs. During the last stage, a household roster was constructed, the eligibility status of each individual was determined, and the selection procedure was invoked to randomly select one or two eligible persons within the household. The objective of this paper is to evaluate the within-household selection rules under a multi-stage design while improving the procedure in future literacy surveys. The analysis is based on the current US household size distribution and intracluster correlation coefficients using the adult literacy data. In our evaluation, several feasible household selection rules are studied, considering effects from clustering, differential sampling rates, cost per interview, and household burden. In doing so, an evaluation of within-household sampling under a two-stage design is extended to a four-stage design and some generalizations are made to multi-stage samples with different cost ratios.

    Release date: 2010-06-29
  • 70. A comparison of sample set restriction procedures Archived
    Articles and reports: 12-001-X201000111249
    Description:

    For many designs, there is a nonzero probability of selecting a sample that provides poor estimates for known quantities. Stratified random sampling reduces the set of such possible samples by fixing the sample size within each stratum. However, undesirable samples are still possible with stratification. Rejective sampling removes poor performing samples by only retaining a sample if specified functions of sample estimates are within a tolerance of known values. The resulting samples are often said to be balanced on the function of the variables used in the rejection procedure. We provide modifications to the rejection procedure of Fuller (2009a) that allow more flexibility on the rejection rules. Through simulation, we compare estimation properties of a rejective sampling procedure to those of cube sampling.

    Release date: 2010-06-29
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Analysis (268)

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  • 1. Children born into vulnerability: Challenges encountered in a Quebec longitudinal survey Archived
    Articles and reports: 11-522-X202200100010
    Description: Growing Up in Québec is a longitudinal population survey that began in the spring of 2021 at the Institut de la statistique du Québec. Among the children targeted by this longitudinal follow-up, some will experience developmental difficulties at some point in their lives. Those same children often have characteristics associated with higher sample attrition (low-income family, parents with a low level of education). This article describes the two main challenges we encountered when trying to ensure sufficient representativeness of these children, in both the overall results and the subpopulation analyses.
    Release date: 2024-03-25
  • 2. Income Research Paper Series
    Journals and periodicals: 75F0002M
    Description: This series provides detailed documentation on income developments, including survey design issues, data quality evaluation and exploratory research.
    Release date: 2024-02-22
  • 3. Model-based stratification of payment populations in Medicare integrity investigations
    Articles and reports: 12-001-X202300200001
    Description: When a Medicare healthcare provider is suspected of billing abuse, a population of payments X made to that provider over a fixed timeframe is isolated. A certified medical reviewer, in a time-consuming process, can determine the overpayment Y = X - (amount justified by the evidence) associated with each payment. Typically, there are too many payments in the population to examine each with care, so a probability sample is selected. The sample overpayments are then used to calculate a 90% lower confidence bound for the total population overpayment. This bound is the amount demanded for recovery from the provider. Unfortunately, classical methods for calculating this bound sometimes fail to provide the 90% confidence level, especially when using a stratified sample.

    In this paper, 166 redacted samples from Medicare integrity investigations are displayed and described, along with 156 associated payment populations. The 7,588 examined (Y, X) sample pairs show (1) Medicare audits have high error rates: more than 76% of these payments were considered to have been paid in error; and (2) the patterns in these samples support an “All-or-Nothing” mixture model for (Y, X) previously defined in the literature. Model-based Monte Carlo testing procedures for Medicare sampling plans are discussed, as well as stratification methods based on anticipated model moments. In terms of viability (achieving the 90% confidence level) a new stratification method defined here is competitive with the best of the many existing methods tested and seems less sensitive to choice of operating parameters. In terms of overpayment recovery (equivalent to precision) the new method is also comparable to the best of the many existing methods tested. Unfortunately, no stratification algorithm tested was ever viable for more than about half of the 104 test populations.
    Release date: 2024-01-03
  • 4. Sample designs and estimators for multimode surveys with face-to-face data collection
    Articles and reports: 12-001-X202300200006
    Description: Survey researchers are increasingly turning to multimode data collection to deal with declines in survey response rates and increasing costs. An efficient approach offers the less costly modes (e.g., web) followed with a more expensive mode for a subsample of the units (e.g., households) within each primary sampling unit (PSU). We present two alternatives to this traditional design. One alternative subsamples PSUs rather than units to constrain costs. The second is a hybrid design that includes a clustered (two-stage) sample and an independent, unclustered sample. Using a simulation, we demonstrate the hybrid design has considerable advantages.
    Release date: 2024-01-03
  • 5. Constructing all determinantal sampling designs
    Articles and reports: 12-001-X202300200008
    Description: In this article, we use a slightly simplified version of the method by Fickus, Mixon and Poteet (2013) to define a flexible parameterization of the kernels of determinantal sampling designs with fixed first-order inclusion probabilities. For specific values of the multidimensional parameter, we get back to a matrix from the family PII from Loonis and Mary (2019). We speculate that, among the determinantal designs with fixed inclusion probabilities, the minimum variance of the Horvitz and Thompson estimator (1952) of a variable of interest is expressed relative to PII. We provide experimental R programs that facilitate the appropriation of various concepts presented in the article, some of which are described as non-trivial by Fickus et al. (2013). A longer version of this article, including proofs and a more detailed presentation of the determinantal designs, is also available.
    Release date: 2024-01-03
  • 6. Targetted double control of burden in multiple surveys
    Articles and reports: 12-001-X202300200010
    Description: Sample coordination methods aim to increase (in positive coordination) or decrease (in negative coordination) the size of the overlap between samples. The samples considered can be from different occasions of a repeated survey and/or from different surveys covering a common population. Negative coordination is used to control the response burden in a given period, because some units do not respond to survey questionnaires if they are selected in many samples. Usually, methods for sample coordination do not take into account any measure of the response burden that a unit has already expended in responding to previous surveys. We introduce such a measure into a new method by adapting a spatially balanced sampling scheme, based on a generalization of Poisson sampling, together with a negative coordination method. The goal is to create a double control of the burden for these units: once by using a measure of burden during the sampling process and once by using a negative coordination method. We evaluate the approach using Monte-Carlo simulation and investigate its use for controlling for selection “hot-spots” in business surveys in Statistics Netherlands.
    Release date: 2024-01-03
  • 7. Comments by Guillaume Chauvet on “Jean-Claude Deville’s contributions to survey theory and official statistics”
    Articles and reports: 12-001-X202300200016
    Description: In this discussion, I will present some additional aspects of three major areas of survey theory developed or studied by Jean-Claude Deville: calibration, balanced sampling and the generalized weight-share method.
    Release date: 2024-01-03
  • 8. Improvements to the Canadian Income Survey Methodology for the 2021 Reference Year
    Articles and reports: 75F0002M2023005
    Description: The Canadian Income Survey (CIS) has introduced improvements to the methods and systems used to produce income estimates with the release of its 2021 reference year estimates. This paper describes the changes and presents the approximate net result of these changes on income estimates using data for 2019 and 2020. The changes described in this paper highlight the ways in which data quality has been improved while producing minimal impact on key CIS estimates and trends.
    Release date: 2023-08-29
  • 9. Sampling with adaptive drawing probabilities
    Articles and reports: 12-001-X202300100009
    Description: In this paper, with and without-replacement versions of adaptive proportional to size sampling are presented. Unbiased estimators are developed for these methods and their properties are studied. In the two versions, the drawing probabilities are adapted during the sampling process based on the observations already selected. To this end, in the version with-replacement, after each draw and observation of the variable of interest, the vector of the auxiliary variable will be updated using the observed values of the variable of interest to approximate the exact selection probability proportional to size. For the without-replacement version, first, using an initial sample, we model the relationship between the variable of interest and the auxiliary variable. Then, utilizing this relationship, we estimate the unknown (unobserved) population units. Finally, on these estimated population units, we select a new sample proportional to size without-replacement. These approaches can significantly improve the efficiency of designs not only in the case of a positive linear relationship, but also in the case of a non-linear or negative linear relationship between the variables. We investigate the efficiencies of the designs through simulations and real case studies on medicinal flowers, social and economic data.
    Release date: 2023-06-30
  • 10. How Survey Mode and Survey Context Affect the Measurement of Self-Perceived Racial Discrimination across Cycles of the General Social Survey
    Articles and reports: 11-633-X2022006
    Description:

    This article compares how survey mode, survey thematic context and sample design contribute to variation in responses to similar questions on self-perceived racial discrimination across the 2013, 2014, 2019 and 2020 cycles of the General Social Survey (GSS).

    Release date: 2022-08-09
Reference (29)

Reference (29) (0 to 10 of 29 results)

  • 1. 2019 Census Content Test: Design and methodology Archived
    Surveys and statistical programs – Documentation: 98-20-00012020020
    Description:

    This fact sheet provides detailed insight into the design and methodology of the content test component of the 2019 Census Test. This test evaluated changes to the wording and flow of some questions, as well as the potential addition of new questions, to help determine the content of the 2021 Census of Population.

    Release date: 2020-07-20
  • 2. Use of Administrative Data to Increase the Efficiency of the Sample Design for the New National Travel Survey Archived
    Surveys and statistical programs – Documentation: 11-522-X201700014749
    Description:

    As part of the Tourism Statistics Program redesign, Statistics Canada is developing the National Travel Survey (NTS) to collect travel information from Canadian travellers. This new survey will replace the Travel Survey of Residents of Canada and the Canadian resident component of the International Travel Survey. The NTS will take advantage of Statistics Canada’s common sampling frames and common processing tools while maximizing the use of administrative data. This paper discusses the potential uses of administrative data such as Passport Canada files, Canada Border Service Agency files and Canada Revenue Agency files, to increase the efficiency of the NTS sample design.

    Release date: 2016-03-24
  • 3. The General Social Survey: New Data Overview Archived
    Surveys and statistical programs – Documentation: 89-631-X
    Description:

    This report highlights the latest developments and rationale behind recent cycles of the General Social Survey (GSS). Starting with an overview of the GSS mandate and historic cycle topics, we then focus on two recent cycles related to families in Canada: Family Transitions (2006) and Family, Social Support and Retirement (2007). Finally, we give a summary of what is to come in the 2008 GSS on Social Networks, and describe a special project to mark 'Twenty Years of GSS'.

    The survey collects data over a twelve month period from the population living in private households in the 10 provinces. For all cycles except Cycles 16 and 21, the population aged 15 and older has been sampled. Cycles 16 and 21 sampled persons aged 45 and older.

    Cycle 20 (GSS 2006) is the fourth cycle of the GSS to collect data on families (the first three cycles on the family were in 1990, 1995 and 2001). Cycle 20 covers much the same content as previous cycles on families with some sections revised and expanded. The data enable analysts to measure conjugal and fertility history (chronology of marriages, common-law unions, and children), family origins, children's home leaving, fertility intentions, child custody as well as work history and other socioeconomic characteristics. Questions on financial support agreements or arrangements (for children and the ex-spouse or ex-partner) for separated and divorced families have been modified. Also, sections on social networks, well-being and housing characteristics have been added.

    Release date: 2008-05-27
  • 4. Content of the Survey of Labour and Income Dynamics Part B - Income and Wealth Content Archived
    Surveys and statistical programs – Documentation: 75F0002M1992001
    Description:

    Starting in 1994, the Survey of Labour and Income Dynamics (SLID) will follow individuals and families for at least six years, tracking their labour market experiences, changes in income and family circumstances. An initial proposal for the content of SLID, entitled "Content of the Survey of Labour and Income Dynamics : Discussion Paper", was distributed in February 1992.

    That paper served as a background document for consultation with and a review by interested users. The content underwent significant change during this process. Based upon the revised content, a large-scale test of SLID will be conducted in February and May 1993.

    The present document outlines the income and wealth content to be tested in May 1993. This document is really a continuation of SLID Research Paper Series 92-01A, which outlines the demographic and labour content used in the January /February 1993 test.

    Release date: 2008-02-29
  • 5. Objectives and Content of the Preliminary Interview Archived
    Surveys and statistical programs – Documentation: 75F0002M1992007
    Description:

    A Preliminary Interview will be conducted on the first panel of SLID, in January 1993, as a supplement to the Labour Force Survey. The first panel is made up of about 20,000 households that are rotating out of the Labour Force Survey in January and February, 1993.

    The purpose of this document is to provide a description of the purpose of the SLID Preliminary Interview and the question wordings to be used.

    Release date: 2008-02-29
  • 6. Environment Surveys of Establishments: The Canadian Experience Archived
    Surveys and statistical programs – Documentation: 16-001-M2007004
    Description:

    Statistics Canada administers a number of environmental surveys that fill important data gaps but also pose numerous challenges to administer. This paper focuses on two on-going environment surveys - one newly initiated and one in the process of a redesign.

    Release date: 2007-11-23
  • 7. Recent Changes in Geography Content in the Survey of Labour and Income Dynamics (SLID) Archived
    Surveys and statistical programs – Documentation: 75F0002M2005002
    Description:

    This paper describes the changes made to the structure of geography information on SLID from reference year 1999 onwards. It goes into reasons for changing to the 2001 Census-based geography, shows how the overlap between the 1991 and 2001 Census-based concepts are handled, provides detail on how the geographic concepts are implemented, discusses a new imputation procedure and finishes with an illustration of the impact of these changes on selected tables.

    Release date: 2005-03-31
  • 8. Improvements in 2005 to the Labour Force Survey (LFS) Archived
    Surveys and statistical programs – Documentation: 71F0031X2005002
    Description:

    This paper introduces and explains modifications made to the Labour Force Survey estimates in January 2005. Some of these modifications include the adjustment of all LFS estimates to reflect population counts based on the 2001 Census, updates to industry and occupation classification systems and sample redesign changes.

    Release date: 2005-01-26
  • 9. Entry-Exit Component of Labour Interview for January 2003 and Income Interview for May 2003: Survey of Labour and Income Dynamics Archived
    Surveys and statistical programs – Documentation: 75F0002M2004006
    Description:

    This document presents information about the entry-exit portion of the annual labour and the income interviews of the Survey of Labour and Income Dynamics (SLID).

    Release date: 2004-06-21
  • 10. Issues in the Design of Canada's Adult Education and Training Survey Archived
    Surveys and statistical programs – Documentation: 81-595-M2003009
    Geography: Canada
    Description:

    This paper examines how the Canadian Adult Education and Training Survey (AETS) can be used to study participation in and impacts of education and training activities for adults.

    Release date: 2003-10-15
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