Survey design

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All (334) (50 to 60 of 334 results)

51. Strategies for subsampling nonrespondents for economic programs Archived
Articles and reports: 12-001-X201800154929
Description:
The U.S. Census Bureau is investigating nonrespondent subsampling strategies for usage in the 2017 Economic Census. Design constraints include a mandated lower bound on the unit response rate, along with targeted industry-specific response rates. This paper presents research on allocation procedures for subsampling nonrespondents, conditional on the subsampling being systematic. We consider two approaches: (1) equal-probability sampling and (2) optimized allocation with constraints on unit response rates and sample size with the objective of selecting larger samples in industries that have initially lower response rates. We present a simulation study that examines the relative bias and mean squared error for the proposed allocations, assessing each procedure’s sensitivity to the size of the subsample, the response propensities, and the estimation procedure.
Release date: 2018-06-21
52. Sample allocation for efficient model-based small area estimation Archived
Articles and reports: 12-001-X201700114817
Description:
We present research results on sample allocations for efficient model-based small area estimation in cases where the areas of interest coincide with the strata. Although model-assisted and model-based estimation methods are common in the production of small area statistics, utilization of the underlying model and estimation method are rarely included in the sample area allocation scheme. Therefore, we have developed a new model-based allocation named g1-allocation. For comparison, one recently developed model-assisted allocation is presented. These two allocations are based on an adjusted measure of homogeneity which is computed using an auxiliary variable and is an approximation of the intra-class correlation within areas. Five model-free area allocation solutions presented in the past are selected from the literature as reference allocations. Equal and proportional allocations need the number of areas and area-specific numbers of basic statistical units. The Neyman, Bankier and NLP (Non-Linear Programming) allocation need values for the study variable concerning area level parameters such as standard deviation, coefficient of variation or totals. In general, allocation methods can be classified according to the optimization criteria and use of auxiliary data. Statistical properties of the various methods are assessed through sample simulation experiments using real population register data. It can be concluded from simulation results that inclusion of the model and estimation method into the allocation method improves estimation results.
Release date: 2017-06-22
53. Unequal probability inverse sampling Archived
Articles and reports: 12-001-X201600214660
Description:
In an economic survey of a sample of enterprises, occupations are randomly selected from a list until a number r of occupations in a local unit has been identified. This is an inverse sampling problem for which we are proposing a few solutions. Simple designs with and without replacement are processed using negative binomial distributions and negative hypergeometric distributions. We also propose estimators for when the units are selected with unequal probabilities, with or without replacement.
Release date: 2016-12-20
54. A note on the concept of invariance in two-phase sampling designs Archived
Articles and reports: 12-001-X201600214662
Description:
Two-phase sampling designs are often used in surveys when the sampling frame contains little or no auxiliary information. In this note, we shed some light on the concept of invariance, which is often mentioned in the context of two-phase sampling designs. We define two types of invariant two-phase designs: strongly invariant and weakly invariant two-phase designs. Some examples are given. Finally, we describe the implications of strong and weak invariance from an inference point of view.
Release date: 2016-12-20
55. Adaptive rectangular sampling: An easy, incomplete, neighbourhood-free adaptive cluster sampling design Archived
Articles and reports: 12-001-X201600214684
Description:
This paper introduces an incomplete adaptive cluster sampling design that is easy to implement, controls the sample size well, and does not need to follow the neighbourhood. In this design, an initial sample is first selected, using one of the conventional designs. If a cell satisfies a prespecified condition, a specified radius around the cell is sampled completely. The population mean is estimated using the \pi-estimator. If all the inclusion probabilities are known, then an unbiased \pi estimator is available; if, depending on the situation, the inclusion probabilities are not known for some of the final sample units, then they are estimated. To estimate the inclusion probabilities, a biased estimator is constructed. However, the simulations show that if the sample size is large enough, the error of the inclusion probabilities is negligible, and the relative \pi-estimator is almost unbiased. This design rivals adaptive cluster sampling because it controls the final sample size and is easy to manage. It rivals adaptive two-stage sequential sampling because it considers the cluster form of the population and reduces the cost of moving across the area. Using real data on a bird population and simulations, the paper compares the design with adaptive two-stage sequential sampling. The simulations show that the design has significant efficiency in comparison with its rival.
Release date: 2016-12-20
56. An Overview of Selected International Business Record Linkage Programs Archived
Articles and reports: 18-001-X2016001
Description:
Although the record linkage of business data is not a completely new topic, the fact remains that the public and many data users are unaware of the programs and practices commonly used by statistical agencies across the world.
This report is a brief overview of the main practices, programs and challenges of record linkage of statistical agencies across the world who answered a short survey on this subject supplemented by publically available documentation produced by these agencies. The document shows that the linkage practices are similar between these statistical agencies; however the main differences are in the procedures in place to access to data along with regulatory policies that govern the record linkage permissions and the dissemination of data.
Release date: 2016-10-27
57. Historical Data Linkage Quality: The Longitudinal and International Study of Adults, and Tax Records on Labour and Income Archived
Articles and reports: 89-648-X2016001
Description:
Linkages between survey and administrative data are an increasingly common practice, due in part to the reduced burden to respondents, and to the data that can be obtained at a relatively low cost. Historical linkage, or the linkage of administrative data from previous years to the year of the survey, compounds these benefits by providing additional years of data. This paper examines the Longitudinal and International Study of Adults (LISA), which was linked to historical tax data on personal income tax returns (T1) and those collected from employers’ files (T4), among others not mentioned in this paper. It presents trends in historical linkage rates, compares the coherence of administrative data between the T1 and T4, presents the ability to use the data to create balanced panels, and uses the T1 data to produce age-earnings profiles by sex. The results show that the historical linkage rate is high (over 90% in most cases) and stable over time for respondents who are likely to file a tax return, and that the T1 and T4 administrative sources show similar earnings. Moreover, long balanced panels of up to 30 years in length (at the time of writing) can be created using LISA administrative linkage data.
Release date: 2016-08-18
58. A Bayesian analysis of survey design parameters Archived
Articles and reports: 11-522-X201700014745
Description:
In the design of surveys a number of parameters like contact propensities, participation propensities and costs per sample unit play a decisive role. In on-going surveys, these survey design parameters are usually estimated from previous experience and updated gradually with new experience. In new surveys, these parameters are estimated from expert opinion and experience with similar surveys. Although survey institutes have a fair expertise and experience, the postulation, estimation and updating of survey design parameters is rarely done in a systematic way. This paper presents a Bayesian framework to include and update prior knowledge and expert opinion about the parameters. This framework is set in the context of adaptive survey designs in which different population units may receive different treatment given quality and cost objectives. For this type of survey, the accuracy of design parameters becomes even more crucial to effective design decisions. The framework allows for a Bayesian analysis of the performance of a survey during data collection and in between waves of a survey. We demonstrate the Bayesian analysis using a realistic simulation study.
Release date: 2016-03-24
59. 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
60. Domain sample allocation within primary sampling units in designing domain-level equal probability selection methods Archived
Articles and reports: 12-001-X201500214229
Description:
Self-weighting estimation through equal probability selection methods (epsem) is desirable for variance efficiency. Traditionally, the epsem property for (one phase) two stage designs for estimating population-level parameters is realized by using each primary sampling unit (PSU) population count as the measure of size for PSU selection along with equal sample size allocation per PSU under simple random sampling (SRS) of elementary units. However, when self-weighting estimates are desired for parameters corresponding to multiple domains under a pre-specified sample allocation to domains, Folsom, Potter and Williams (1987) showed that a composite measure of size can be used to select PSUs to obtain epsem designs when besides domain-level PSU counts (i.e., distribution of domain population over PSUs), frame-level domain identifiers for elementary units are also assumed to be available. The term depsem-A will be used to denote such (one phase) two stage designs to obtain domain-level epsem estimation. Folsom et al. also considered two phase two stage designs when domain-level PSU counts are unknown, but whole PSU counts are known. For these designs (to be termed depsem-B) with PSUs selected proportional to the usual size measure (i.e., the total PSU count) at the first stage, all elementary units within each selected PSU are first screened for classification into domains in the first phase of data collection before SRS selection at the second stage. Domain-stratified samples are then selected within PSUs with suitably chosen domain sampling rates such that the desired domain sample sizes are achieved and the resulting design is self-weighting. In this paper, we first present a simple justification of composite measures of size for the depsem-A design and of the domain sampling rates for the depsem-B design. Then, for depsem-A and -B designs, we propose generalizations, first to cases where frame-level domain identifiers for elementary units are not available and domain-level PSU counts are only approximately known from alternative sources, and second to cases where PSU size measures are pre-specified based on other practical and desirable considerations of over- and under-sampling of certain domains. We also present a further generalization in the presence of subsampling of elementary units and nonresponse within selected PSUs at the first phase before selecting phase two elementary units from domains within each selected PSU. This final generalization of depsem-B is illustrated for an area sample of housing units.
Release date: 2015-12-17

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11. Contributions of J.N.K. Rao to Complex Survey Multilevel Models and Composite Likelihood Archived
Articles and reports: 11-522-X202500100030
Description: In the setting of multilevel models to be estimated using data from surveys with complex sampling designs, this paper outlines some contributions of the landmark paper by Rao, Verret and Hidiroglou (Survey Methodology, 2013) and subsequent related work.
Release date: 2025-09-08
12. Propensity Score Estimation and Optimal Sampling Design when Integrating Probability Samples with Non-probability Data Archived
Articles and reports: 11-522-X202500100032
Description: Although non-probability data sources are not new to official statistics, a revived interest in the topic has emerged from pressures due to falling survey response rates, increasing data collection costs and a desire to take advantage of new data source opportunities from the ongoing societal digitalisation. Due to the exclusion of certain segments of the target population, inference derived solely from a non-probability data source is likely to result in bias. This work approaches the challenge of addressing the bias by integrating non-probability data with reference probability samples. The focus will be on methods to model the propensity of inclusion in the non-probability dataset with the help of the accompanying reference sample, with the modelled propensities then applied in an inverse probability weighting approach to produce population estimates. The reference sample is sometimes assumed as given. In this presentation however, an objective of finding an optimal strategy will be pursued that is, the combination of a data integration-based estimator and sample design for the reference probability sample. Recent work is discussed in which advantage is taken of the good unit identification possibilities in business surveys to study an estimator based on propensities and derive optimal (unequal) selection probabilities for the reference sample.
Release date: 2025-09-08
13. Including Non-binary Gender in the Calibration Strategy for the Canadian Long-Form Sample Survey Weights Archived
Articles and reports: 11-522-X202500100033
Description: Aligning with recent needs for increased disaggregated data, in 2021 Canada became the first country to collect and disseminate data on gender diversity in a national census giving Canadians the option to select male, female, or non-binary. Due to their small size, non-binary population counts were not used in the 2021 Census long-form sample calibration procedure due to the risk of increasing the variance of estimates. This paper presents an alternative long-form calibration strategy which allows for small populations, such as the non-binary group, to be incorporated while mitigating methodological concerns. The strategy put forward can incorporate multiple small populations simultaneously while also being flexible enough to fit the calibration systems of other National Statistical Offices (NSOs). The results of a Monte Carlo (MC) simulation are presented showing improved data quality for the non-binary population under the alternative calibration strategy.
Release date: 2025-09-08
14. Authors’ response to comments on “Trends and directions in sample survey theory and methods”
Articles and reports: 12-001-X202500100010
Description: The discussants highlight promising research topics for improving the quality and granularity of estimates from surveys. We agree that continued research is needed to evaluate models used for inference, and suggest development of measures of model dependence.
Release date: 2025-06-30
15. Comments by M. Giovanna Ranalli on “Trends and directions in sample survey theory and methods”
Articles and reports: 12-001-X202500100011
Description: This discussion examines some advancements in survey design and estimation, inspired by the comprehensive appraisal of Professors Jon Rao and Sharon Lohr on current trends in the field. It delves into three specific areas: balanced sampling, calibration, and small area estimation. Probabilistic balanced sampling methods, such as the cube method and penalized balanced sampling, are explored, with an emphasis on addressing emerging challenges, including extensions to linear mixed models, nonparametric regression models, and spatially balanced designs. Calibration is discussed using a modular framework that incorporates modern regression techniques, and highlights innovative uses of model calibration for data editing and causal inference. Small area estimation is considered in the context of latent variable modeling and data integration, emphasizing its role when the variable(s) of interest cannot be measured either directly or without error. Applications in integrating probability and non-probability data and conducting causal analysis at local level are also discussed.
Release date: 2025-06-30
16. Comments by Jean D. Opsomer, Daifeng Han and Medha Uppala on “Trends and directions in sample survey theory and methods”
Articles and reports: 12-001-X202500100012
Description: In this discussion, we complement the excellent overview by Profs. Lohr and Rao with some additional topics. The first topic is a call for more recognition of the central role of modeling in survey estimation. The second is a brief discussion of the use of partial frame information in survey design. Finally, we draw the attention to recent increases of synthetic methods, in particular, multilevel regression and poststratification (MRP) in small area estimation applications.
Release date: 2025-06-30
17. Recursive Neyman algorithm for optimum sample allocation under box constraints on sample sizes in strata
Articles and reports: 12-001-X202400200003
Description: The optimum sample allocation in stratified sampling is one of the basic issues of survey methodology. It is a procedure of dividing the overall sample size into strata sample sizes in such a way that for given sampling designs in strata the variance of the stratified \pi estimator of the population total (or mean) for a given study variable assumes its minimum. In this work, we consider the optimum allocation of a sample, under lower and upper bounds imposed jointly on sample sizes in strata. We are concerned with the variance function of some generic form that, in particular, covers the case of the simple random sampling without replacement in strata. The goal of this paper is twofold. First, we establish (using the Karush-Kuhn-Tucker conditions) a generic form of the optimal solution, the so-called optimality conditions. Second, based on the established optimality conditions, we derive an efficient recursive algorithm, named RNABOX, which solves the allocation problem under study. The RNABOX can be viewed as a generalization of the classical recursive Neyman allocation algorithm, a popular tool for optimum allocation when only upper bounds are imposed on sample strata-sizes. We implement RNABOX in R as a part of our package stratallo which is available from the Comprehensive R Archive Network (CRAN) repository.
Release date: 2024-12-20
18. Sample design using models
Articles and reports: 12-001-X202400200016
Description: Joseph Waksberg was an important figure in survey statistics mainly through his applied work in the design of samples. He took a design-based approach to sample design by emphasizing uses of randomization with the goal of creating estimators with good design-based properties. Since his time on the scene, advances have been made in the use of models to construct designs and in software to implement elaborate designs. This paper reviews uses of models in balanced sampling, cutoff samples, stratification using models, multistage sampling, and mathematical programming for determining sample sizes and allocations.
Release date: 2024-12-20
19. The Labour Force Survey panel sample design and wage trends in Canada
Articles and reports: 75-005-M2024005
Description: This article provides information about how wage data is collected in the Labour Force Survey (LFS). In particular, it examines aspects of the LFS methodology which may impact wage trends.
Release date: 2024-12-13
20. Improvements to the Canadian Income Survey Methodology for the 2022 Reference Year
Articles and reports: 75F0002M2024005
Description: The Canadian Income Survey (CIS) has introduced improvements to the methods and data sources used to produce income and poverty estimates with the release of its 2022 reference year estimates. Foremost among these improvements is a significant increase in the sample size for a large subset of the CIS content. The weighting methodology was also improved and the target population of the CIS was changed from persons aged 16 years and over to persons aged 15 years and over. This paper describes the changes made and presents the approximate net result of these changes on the income estimates and data quality of the CIS using 2021 data. The changes described in this paper highlight the ways in which data quality has been improved while having little impact on key CIS estimates and trends.
Release date: 2024-04-26

Reference (29)

Reference (29) (20 to 30 of 29 results)

21. Calculation of change for annual business surveys Archived
Surveys and statistical programs – Documentation: 11-522-X19980015027
Description:
The disseminated results of annual business surveys inevitably contain statistics that are changing. Since the economic sphere is increasingly dynamic, a simple difference of aggregates between n-l and n is no longer sufficient to provide an overall description of what has happened. The change calculation module in the new generation of annual business surveys divides overall change into various components (births, deaths, inter-industry migration) and calculates change on the basis of a constant field, assigning special importance to restructurings. The main difficulties lie in establishing subsamples, reweighting, calibrating according to calculable changes, and taking account of restructuring.
Release date: 1999-10-22
22. Marginal models for repeated observations: Inference with survey data Archived
Surveys and statistical programs – Documentation: 11-522-X19980015029
Description:
In longitudinal surveys, sample subjects are observed over several time points. This feature typically leads to dependent observations on the same subject, in addition to the customary correlations across subjects induced by the sample design. Much research in the literature has focussed on modeling the marginal mean of a response as a function of covariates. Liang and Zeger (1986) used generalized estimating equations (GEE), requiring only correct specification of the marginal mean, and obtained standard errors of regression parameter estimates and associated Wald tests, assuming a "working" correlation structure for the repeated measurements on a sample subject. Rotnitzky and Jewell (1990) developed quasi-score tests and Rao-Scott adjustments to "working" quasi-score tests under marginal models. These methods are asymptotically robust to misspecification of the within-subject correlation structure, but assume independence of sample subjects which is not satisfied for complex longitudinal survey data based on stratified multi-stage sampling. We proposed asymptotically valid Wald and quasi-score tests for longitudinal survey data, using the Taylor Linearization and jackknife methods. Alternative tests, based on Rao-Scott adjustments to naive tests that ignore survey design features and on Bonferroni-t, are also developed. These tests are particularly useful when the effective degrees of freedom, usually taken as the total number of sample primary units (clusters) minus the number of strata, is small.
Release date: 1999-10-22
23. Estimating the incidence of dementia from longitudinal two-phase sampling with nonignorable missing data Archived
Surveys and statistical programs – Documentation: 11-522-X19980015030
Description:
Two-phase sampling designs have been conducted in waves to estimate the incidence of a rare disease such as dementia. Estimation of disease incidence from longitudinal dementia study has to appropriately adjust for data missing by death as well as the sampling design used at each study wave. In this paper we adopt a selection model approach to model the missing data by death and use a likelihood approach to derive incidence estimates. A modified EM algorithm is used to deal with data missing by sampling selection. The non-paramedic jackknife variance estimator is used to derive variance estimates for the model parameters and the incidence estimates. The proposed approaches are applied to data from the Indianapolis-Ibadan Dementia Study.
Release date: 1999-10-22
24. Estimation with partial overlap longitudinal samples Archived
Surveys and statistical programs – Documentation: 11-522-X19980015035
Description:
In a longitudinal survey conducted for k periods some units may be observed for less than k of the periods. Examples include, surveys designed with partially overlapping subsamples, a pure panel survey with nonresponse, and a panel survey supplemented with additional samples for some of the time periods. Estimators of the regression type are exhibited for such surveys. An application to special studies associated with the National Resources Inventory is discussed.
Release date: 1999-10-22
25. Towards a New Canadian Asset and Debt Survey - a Content Discussion Paper Archived
Notices and consultations: 13F0026M1999001
Description:
The main objectives of a new Canadian survey measuring asset and debt holding of families and individuals will be to update wealth information that is over one decade old; to improve the reliability of the wealth estimates; and, to provide a primary tool for analysing many important policy issues related to the distribution of assets and debts, future consumption possibilities, and savings behaviour that is of interest to governments, business and communities.
This paper is the document that launched the development of the new asset and debt survey, subsequently renamed the Survey of Financial Security. It looks at the conceptual framework for the survey, including the appropriate unit of measurement (family, household or person) and discusses measurement issues such as establishing an accounting framework for assets and debts. The variables proposed for inclusion are also identified. The paper poses several questions to readers and asks for comments and feedback.
Release date: 1999-03-23
26. Asset and Debt Survey: Findings of the Content Consultation Process Archived
Notices and consultations: 13F0026M1999002
Description:
This document summarizes the comments and feedback received on an earlier document: Towards a new Canadian asset and debt survey - A content discussion paper. The new asset and debt survey (now called the Survey of Financial Security) is to update the wealth information on Canadian families and unattached individuals. Since the last data collection was conducted in 1984, it was essential to include a consultative process in the development of the survey in order to obtain feedback on issues of concern and to define the conceptual framework for the survey.
Comments on the content discussion paper are summarized by major theme and sections indicate how the suggestions are being incorporated into the survey or why they could not be incorporated. This paper also mentions the main objectives of the survey and provides an overview of the survey content, revised according to the feedback from the discussion paper.
Release date: 1999-03-23
27. Proposal for an Asset and Debt Survey Archived
Surveys and statistical programs – Documentation: 13F0026M1999003
Description:
This paper presents a proposal for conducting a Canadian asset and debt survey. The first step in preparing this proposal was the release, in February 1997, of a document entitled Towards a new Canadian asset and debt survey whose intent was to elicit feedback on the initial thinking regarding the content of the survey.
This paper reviews the conceptual framework for a new asset and debt survey, data requirements, survey design, collection methodology and testing. It provides also an overview of the anticipated data processing system, describes the analysis and dissemination plan (analytical products and microdata files), and identifies the survey costs and major milestones. Finally, it presents the management/coordination approach used.
Release date: 1999-03-23
28. Sample Representativeness for the Survey of Labour and Income Dynamics Archived
Surveys and statistical programs – Documentation: 75F0002M1993019
Description:
This paper examines the issues and the procedures designed to maintain a representative sample of the population for the Survey of Labour and Income Dynamics (SLID).
Release date: 1995-12-30
29. SLID Following Rules: Who to Trace and Who to Interview Archived
Surveys and statistical programs – Documentation: 75F0002M1994001
Description:
This paper describes the Survey of Labour and Income Dynamics (SLID) following rules, which govern who is traced and who is interviewed. It also outlines the conceptual basis for these procedures.
Release date: 1995-12-30

Date modified:: 2026-09-13