Statistical methods
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Selected geographical area:Canada
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Results
All (2,498)
All (2,498) (0 to 10 of 2,498 results)
- Stats in brief: 89-20-00062026002Description: In this video, we will focus on three main ideas: the point estimate, the margin of error and the confidence level.Release date: 2026-10-07
- Stats in brief: 89-20-00062026003Description: In this video, we’ll use confidence intervals to compare two groups. Our goal is to avoid bold claims that the data can’t actually support.Release date: 2026-10-07
- Stats in brief: 89-20-00062026004Description: In this final segment, we examine a key question: what determines the width of a confidence interval? The three elements that drive how wide or narrow a confidence interval will be: the confidence level, the variability in the population, and the size of the sample.Release date: 2026-10-07
- Surveys and statistical programs – Documentation: 91-528-XDescription: The Technical Guide on Demographic Estimates at Statistics Canada provides detailed descriptions of the most current data sources and methods used by the Centre for demography at Statistics Canada to produce demographic estimates as part of the Demographic estimates program. They comprise postcensal and intercensal population estimates; base population; births and deaths; immigrants; emigrants; returning emigrants; non-permanent residents; interprovincial migration; subprovincial estimates of population and intraprovincial migration; population estimates by age and gender; and census family estimates. A glossary of commonly used terms is available at the end of the guide.Release date: 2026-09-23
- Journals and periodicals: 92F0138MDescription: The Geography working paper series is intended to stimulate discussion on a variety of topics covering conceptual, methodological or technical work to support the development and dissemination of the division's data, products and services. Readers of the series are encouraged to contact the Geography Division with comments and suggestions.Release date: 2026-08-05
- Stats in brief: 89-20-00062026001Description: In this video you will learn about the steps and activities in the data journey. The data journey represents the key stages of the data process. The journey is not necessarily linear. It is intended to represent the different steps and activities that could be undertaken to produce meaningful information from data. Not everyone who uses data will do all of these steps.Release date: 2026-07-09
- Articles and reports: 12-001-X202600100001Description: Wayne A. Fuller is a leading figure in statistics whose career at Iowa State University (ISU) began in 1959; he is now Distinguished Professor Emeritus in Statistics and Economics. This article briefly recounts his early life and training in agricultural economics at ISU and highlights influential contributions spanning time series analysis, measurement error models, and survey sampling. It documents his impact through seminal textbooks, methodological advances such as the Dickey-Fuller test and regression estimation, sustained work on major operational surveys (e.g., the National Resources Inventory), and mentorship of many graduate students. The article includes an interview conducted on May 20th, 2025, at Professor Fuller’s home.Release date: 2026-06-29
- Articles and reports: 12-001-X202600100002Description: Survey data typically have missing values due to unit and item nonresponse. Sometimes, survey organizations know the marginal distributions of certain categorical variables in the target population. As shown in previous work, survey organizations can leverage these distributions in multiple imputation for nonignorable unit nonresponse, generating imputations that result in plausible completed-data estimates for the variables with known margins. However, this prior work does not use the design weights for unit nonrespondents. We extend this previous work to utilize the design weights for all sampled units. We illustrate the approach using simulation studies.Release date: 2026-06-29
- Articles and reports: 12-001-X202600100003Description: Probability-proportional-to-size sampling is widely used by national statistical offices. Here population units are selected with probabilities proportional to an auxiliary variable. Variance formulas in such designs require both first- and second-order inclusion probabilities. The computation of second-order inclusion probabilities is particularly challenging for large populations, and has been the subject of extensive research. This article presents some new exact and approximation formulas for second-order inclusion probabilities in randomized systematic sampling with unequal probabilities and without replacement.Release date: 2026-06-29
- Articles and reports: 12-001-X202600100004Description: We test the notion that a quasi-probabilistic method of selecting individuals within households (last birthday, LB) draws in a different sample compared to a non-probabilistic approach that selects respondents according to known parameters on age and gender (frequency matching, FM). With data from an original field experiment, we evaluate fieldwork efficiency (time and completed cases), economy (cost), success in recruiting a representative sample, and differences across a set of attitudinal and behavioral measures. We find that the FM approach performs better on efficiency and cost and achieves a comparable sample; importantly, this comparability extends across measures of personality traits and public opinion. With appropriate caveats, we conclude that researchers’ choice of selection methods should be guided by both theoretical benefits and practical tradeoffs.Release date: 2026-06-29
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Data (10)
Data (10) ((10 results))
- Profile of a community or region: 46-26-0002Description: The National Address Register (NAR) is a list of commercial and residential addresses in Canada that are extracted from Statistics Canada's Building Register and deemed non-confidential.Release date: 2026-06-26
- Table: 89-26-0006Description: PASSAGES is an open-source dynamic microsimulation model aimed at supporting policy analysis and research relating to Canadian retirement income system outcomes at the individual and family level. The publicly available version includes a synthetic starting database, a model, and documentation. A confidential starting database is also available.Release date: 2026-06-26
- Public use microdata: 89F0002XDescription: The SPSD/M is a static microsimulation model designed to analyse financial interactions between governments and individuals in Canada. It can compute taxes paid to and cash transfers received from government. It is comprised of a database, a series of tax/transfer algorithms and models, analytical software and user documentation.Release date: 2026-02-12
- 4. Canadian Statistical Geospatial Explorer Hub ArchivedData Visualization: 71-607-X2020010Description: The Canadian Statistical Geospatial Explorer empowers users to discover geo enabled data holdings of Statistics Canada at various levels of geography including at the neighbourhood level. Users are able to visualize, thematically map, spatially explore and analyze, export and consume data in various formats. Users can also view the data superimposed on satellite imagery, topographic and street layers.Release date: 2024-08-21
- Table: 11-10-0074-01Geography: Census tractFrequency: OccasionalDescription:
The divergence index (D-index) describes the degree that families with different income levels are mixing together in neighbourhoods. It compares neighbourhood (census tract, CT) discrete income distributions to a base distribution, which is the income quintiles of the neighbourhood’s census metropolitan area (CMA).
Release date: 2020-06-22 - 6. Housing Data Viewer ArchivedData Visualization: 71-607-X2019010Description: The Housing Data Viewer is a visualization tool that allows users to explore Statistics Canada data on a map. Users can use the tool to navigate, compare and export data.Release date: 2019-10-30
- Table: 53-500-XDescription:
This report presents the results of a pilot survey conducted by Statistics Canada to measure the fuel consumption of on-road motor vehicles registered in Canada. This study was carried out in connection with the Canadian Vehicle Survey (CVS) which collects information on road activity such as distance traveled, number of passengers and trip purpose.
Release date: 2004-10-21 - Table: 13-220-XDescription: In the 1997 edition, new and revised benchmarks were introduced for 1992 and 1988. The indicators are used to monitor supply, demand and employment for tourism in Canada on a timely basis. The annual tables are derived using the National Income and Expenditure Accounts (NIEA) and various industry and travel surveys. Tables providing actual data and percentage changes, for seasonally adjusted current and constant price estimates are included. In addition, an analytical section provides graphs, and time series of first differences, percentage changes, and seasonal factors for selected indicators. Data are published from 1987 and the publication will be available on the day of release. New data are included in the demand tables for non-tourism commodities produced by non-tourism industries and in the employment tables covering direct tourism employment generated by non-tourism industries. This product was commissioned by the Canadian Tourism Commission to provide annual updates for the Tourism Satellite Account.Release date: 2003-01-08
- 9. Historical Statistics of Canada ArchivedTable: 11-516-XDescription:
The second edition of Historical statistics of Canada was jointly produced by the Social Science Federation of Canada and Statistics Canada in 1983. This volume contains about 1,088 statistical tables on the social, economic and institutional conditions of Canada from the start of Confederation in 1867 to the mid-1970s. The tables are arranged in sections with an introduction explaining the content of each section, the principal sources of data for each table, and general explanatory notes regarding the statistics. In most cases, there is sufficient description of the individual series to enable the reader to use them without consulting the numerous basic sources referenced in the publication.
The electronic version of this historical publication is accessible on the Internet site of Statistics Canada as a free downloadable document: text as HTML pages and all tables as individual spreadsheets in a comma delimited format (CSV) (which allows online viewing or downloading).
Release date: 1999-07-29 - 10. National Population Health Survey Overview ArchivedTable: 82-567-XDescription:
The National Population Health Survey (NPHS) is designed to enhance the understanding of the processes affecting health. The survey collects cross-sectional as well as longitudinal data. In 1994/95 the survey interviewed a panel of 17,276 individuals, then returned to interview them a second time in 1996/97. The response rate for these individuals was 96% in 1996/97. Data collection from the panel will continue for up to two decades. For cross-sectional purposes, data were collected for a total of 81,000 household residents in all provinces (except people on Indian reserves or on Canadian Forces bases) in 1996/97.
This overview illustrates the variety of information available by presenting data on perceived health, chronic conditions, injuries, repetitive strains, depression, smoking, alcohol consumption, physical activity, consultations with medical professionals, use of medications and use of alternative medicine.
Release date: 1998-07-29
Analysis (2,054)
Analysis (2,054) (20 to 30 of 2,054 results)
- Articles and reports: 36-28-0001202600500003Description: This spotlight article outlines practical methods for assessing the economic impacts of public programs delivered by federal agencies and Crown corporations. It summarizes key steps in conducting quantitative impact analysis, including data linkage, cohort construction and implementation of quasi causal estimators.Release date: 2026-05-27
- Journals and periodicals: 11-633-XDescription: Papers in this series provide background discussions of the methods used to develop data for economic, health, and social analytical studies at Statistics Canada. They are intended to provide readers with information on the statistical methods, standards and definitions used to develop databases for research purposes. All papers in this series have undergone peer and institutional review to ensure that they conform to Statistics Canada's mandate and adhere to generally accepted standards of good professional practice.Release date: 2026-05-27
- Journals and periodicals: 75F0002MDescription: This series provides detailed documentation on income developments, including survey design issues, data quality evaluation and exploratory research.Release date: 2026-05-20
- Articles and reports: 13-604-M2026001Description: This documentation outlines the methodology used to develop the Distributions of household economic accounts published in January 2026 for the reference years 2010 to 2025. It describes the framework and the steps implemented to produce distributional information aligned with the National Balance Sheet Accounts and other national accounts concepts. It also includes a report on the quality of the estimated distributions.Release date: 2026-01-29
- Articles and reports: 12-001-X202500200001Description: Nested error regression models are commonly used to incorporate unit specific auxiliary variables to improve small area estimates. When the mean structure of the model is misspecified, the design-based mean squared prediction error (MSPE) of Empirical Best Linear Unbiased Predictors (EBLUP) generally increases. The Observed Best Prediction (OBP) method has been proposed with the intent to improve on the design-based MSPE over EBLUP. In this paper, we conduct a Monte Carlo simulation experiments to understand the effect of misspsecification of mean structures on different small area estimators. Our findings suggest that the OBP using unit-level auxiliary variables does not outperform the EBLUP in terms of design-based MSPE, unless the number of small areas m is extremely large. Conversely, the performance of OBP significantly improves when area-level auxiliary variables are employed. This paper includes both analytical and numerical evidence to demonstrate these observations, providing practical insights for addressing model misspecification in small area estimation (SAE).Release date: 2025-12-23
- Articles and reports: 12-001-X202500200002Description: This study examines interviewer effects on household nonresponse in three waves of the Household Finance and Consumption Survey (HFCS) in Austria using a multilevel model. Addressing nonresponse at its source is crucial for maintaining survey data quality and representativeness. Our findings indicate that the variation in response behavior explained by interviewer effects decreased from about one-third in the first wave to 7% in the third wave. Effective interviewers tend to have a university degree, be married, homeowners, and have a larger workload. Additionally, higher mean wages in the household’s municipality negatively affect survey participation. These insights suggest targeted interviewer selection and training strategies to improve response rates.Release date: 2025-12-23
- Articles and reports: 12-001-X202500200003Description: In this paper a model-based inference procedure based on a multivariate structural time series model is developed for the production of monthly figures about consumer confidence. The input for the model are five series of direct estimates for the indices that measure consumer confidence, which are derived from the Dutch Consumer Survey. The model improves the accuracy of the direct estimates, since it provides a better separation of measurement errors and sampling errors from estimated target parameters. The standard errors for the month-to-month changes are clearly smaller under the time series model. A second problem addressed in this paper is related to the transition to a new survey process in 2017. Structural time series models in combination with a parallel run are applied to estimate discontinuities induced by the redesign. An algorithm designed for the consumer confidence variables is developed to construct uninterrupted input series for the aforementioned structural time series model. This inference method facilitated a smooth transition to a new survey design and resulted in uninterrupted series about consumer confidence that date back to 1986. The method is implemented for the production of official monthly figures on consumer confidence in the Netherlands.Release date: 2025-12-23
- Articles and reports: 12-001-X202500200004Description: The class of generalized linear models (GLM) is a flexible generalization of ordinary least squares regression that allows the linear model to be related to the response variable via a link function and assumes the magnitude of the variance of each measurement to be a function of its predicted value. Multicollinearity in GLMs can inflate variances of the estimated coefficients and cause poor prediction in certain regions of the regression space. It may also cause a nonsignificant Wald statistic even when the predictors are highly predictive in a model of the family of GLMs. Little previous research has closely investigated the diagnostics of multicollinearity in GLMs, especially when complex survey data are used. In this paper, we develop variance inflation factors (VIFs) that measure the amount that the variance of a parameter estimator is increased due to multicollinearity in GLMs. We also extend VIFs and condition indexes to apply to complex survey data, accounting for design features, e.g. weights, clusters, and strata. Illustrations of these methods are given using data from a household survey of health and nutrition.Release date: 2025-12-23
- Articles and reports: 12-001-X202500200005Description: The use of non-probability data sources for statistical purposes and for official statistics has become increasingly popular in recent years. However, statistical inference based on non-probability samples is made more difficult by nature of their biasedness and lack of representativity. In this paper we propose quantile balancing inverse probability weighting estimator (QBIPW) for non-probability samples. We apply the idea of Harms and Duchesne (2006) allowing the use of quantile information in the estimation process to reproduce known totals and the distribution of auxiliary variables. We discuss the estimation of the QBIPW probabilities and its variance. Our simulation study has demonstrated that the proposed estimators are robust against model mis-specification and, as a result, help to reduce bias and mean squared error. Finally, we applied the proposed methods to estimate the share of job vacancies aimed at Ukrainian workers in Poland using an integrated set of administrative and survey data about job vacancies.Release date: 2025-12-23
- Articles and reports: 12-001-X202500200006Description: National Statistical Institutes (NSIs) are directing resources into advancing the use of administrative data in official statistics. Administrative data, however, are not developed for the purpose of producing statistics rather as a result of an event or transaction relating to administrative procedures of organizations, public administrations and government agencies. Therefore, it is essential to check the quality of the administrative data with respect to sources of error, particularly representativeness to the target population. In this paper, we utilize the strength of probability-based reference samples or censuses that can be used to detect the lack of representativeness in administrative data and introduce quality indicators based on distance metrics and representativity indicators (R-indicators). We demonstrate their application with a simulation study and discuss a real application applied on a UK Office for National Statistics (ONS) administrative dataset.Release date: 2025-12-23
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Reference (382)
Reference (382) (80 to 90 of 382 results)
- 81. Challenges and Lessons Learned with the Implementation of Car Chips in the Fuel Consumption Survey ArchivedSurveys and statistical programs – Documentation: 11-522-X201300014258Description:
The National Fuel Consumption Survey (FCS) was created in 2013 and is a quarterly survey that is designed to analyze distance driven and fuel consumption for passenger cars and other vehicles weighing less than 4,500 kilograms. The sampling frame consists of vehicles extracted from the vehicle registration files, which are maintained by provincial ministries. For collection, FCS uses car chips for a part of the sampled units to collect information about the trips and the fuel consumed. There are numerous advantages to using this new technology, for example, reduction in response burden, collection costs and effects on data quality. For the quarters in 2013, the sampled units were surveyed 95% via paper questionnaires and 5% with car chips, and in Q1 2014, 40% of sampled units were surveyed with car chips. This study outlines the methodology of the survey process, examines the advantages and challenges in processing and imputation for the two collection modes, presents some initial results and concludes with a summary of the lessons learned.
Release date: 2014-10-31 - 82. The Potential Use of Remote Sensing to Produce Field Crop Statistics at Statistics Canada ArchivedSurveys and statistical programs – Documentation: 11-522-X201300014259Description:
In an effort to reduce response burden on farm operators, Statistics Canada is studying alternative approaches to telephone surveys for producing field crop estimates. One option is to publish harvested area and yield estimates in September as is currently done, but to calculate them using models based on satellite and weather data, and data from the July telephone survey. However before adopting such an approach, a method must be found which produces estimates with a sufficient level of accuracy. Research is taking place to investigate different possibilities. Initial research results and issues to consider are discussed in this paper.
Release date: 2014-10-31 - Surveys and statistical programs – Documentation: 11-522-X201300014260Description: The Survey of Employment, Payrolls and Hours (SEPH) produces monthly estimates and determines the month-to-month changes for variables such as employment, earnings and hours at detailed industrial levels for Canada, the provinces and territories. In order to improve the efficiency of collection activities for this survey, an electronic questionnaire (EQ) was introduced in the fall of 2012. Given the timeframe allowed for this transition as well as the production calendar of the survey, a conversion strategy was developed for the integration of this new mode. The goal of the strategy was to ensure a good adaptation of the collection environment and also to allow the implementation of a plan of analysis that would evaluate the impact of this change on the results of the survey. This paper will give an overview of the conversion strategy, the different adjustments that were made during the transition period and the results of various evaluations that were conducted. For example, the impact of the integration of the EQ on the collection process, the response rate and the follow-up rate will be presented. In addition, the effect that this new collection mode has on the survey estimates will also be discussed. More specifically, the results of a randomized experiment that was conducted in order to determine the presence of a mode effect will be presented.Release date: 2014-10-31
- 84. Overcoverage in the 2011 Canadian Census ArchivedSurveys and statistical programs – Documentation: 11-522-X201300014269Description:
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: 11-522-X201300014278Description:
In January and February 2014, Statistics Canada conducted a test aiming at measuring the effectiveness of different collection strategies using an online self-reporting survey. Sampled units were contacted using mailed introductory letters and asked to complete the online survey without any interviewer contact. The objectives of this test were to measure the take-up rates for completing an online survey, and to profile the respondents/non-respondents. Different samples and letters were tested to determine the relative effectiveness of the different approaches. The results of this project will be used to inform various social surveys that are preparing to include an internet response option in their surveys. The paper will present the general methodology of the test as well as results observed from collection and the analysis of profiles.
Release date: 2014-10-31 - Surveys and statistical programs – Documentation: 11-522-X201300014285Description:
The 2011 National Household Survey (NHS) is a voluntary survey that replaced the traditional mandatory long-form questionnaire of the Canadian census of population. The NHS sampled about 30% of Canadian households and achieved a design-weighted response rate of 77%. In comparison, the last census long form was sent to 20% of households and achieved a response rate of 94%. Based on the long-form data, Statistics Canada traditionally produces two public use microdata files (PUMFs): the individual PUMF and the hierarchical PUMF. Both give information on individuals, but the hierarchical PUMF provides extra information on the household and family relationships between the individuals. To produce two PUMFs, based on the NHS data, that cover the whole country evenly and that do not overlap, we applied a special sub-sampling strategy. Difficulties in the confidentiality analyses have increased because of the numerous new variables, the more detailed geographic information and the voluntary nature of the NHS. This paper describes the 2011 PUMF methodology and how it balances the requirements for more information and for low risk of disclosure.
Release date: 2014-10-31 - Surveys and statistical programs – Documentation: 11-522-X201300014290Description:
This paper describes a new module that will project families and households by Aboriginal status using the Demosim microsimulation model. The methodology being considered would assign a household/family headship status annually to each individual and would use the headship rate method to calculate the number of annual families and households by various characteristics and geographies associated with Aboriginal populations.
Release date: 2014-10-31 - Surveys and statistical programs – Documentation: 13-605-X201400214100Description:
Canadian international merchandise trade data are released monthly and may be revised in subsequent releases as new information becomes available. These data are released approximately 35 days following the close of the reference period and represent one of the timeliest economic indicators produced by Statistics Canada. Given their timeliness, some of the data are not received in time and need to be estimated or modelled. This is the case for imports and exports of crude petroleum and natural gas. More specifically, at the time of release, energy trade data are based on an incomplete set of information and are revised as Statistics Canada and National Energy Board information becomes available in the subsequent months. Due to the increasing importance of energy imports and exports and the timeliness of the data, the revisions to energy prices and volumes are having an increasingly significant impact on the monthly revision to Canada’s trade balance. This note explains how the estimates in the initial release are made when data sources are not yet available, and how the original data are adjusted in subsequent releases.
Release date: 2014-10-03 - Surveys and statistical programs – Documentation: 99-011-X2011002Description:
The 2011 NHS Aboriginal Peoples Technical Report deals with: (1) Aboriginal ancestry, (2) Aboriginal identity, (3) Registered Indian status and (4) First Nation/Indian band membership.
The report contains explanations of concepts, data quality, historical comparability and comparability to other sources, as well as information on data collection, processing and dissemination.
Release date: 2014-05-28 - Surveys and statistical programs – Documentation: 89-653-X2013002Description:
The Aboriginal Peoples Survey (APS) is a national survey on the social and economic conditions of First Nations people living off reserve, Métis and Inuit aged 6 years and over. The 2012 APS represents the fourth cycle of the survey and focuses on issues of education, employment and health.
The 2012 APS Concepts and Methods Guide is designed to assist data users by providing relevant information on survey content and concepts, sampling design, collection methods, data processing, data quality and product availability. Chapter 1 introduces the survey's background and objectives; Chapter 2 gives important definitions and describes the survey's themes; Chapters 3 through 5 explain the APS design and outline the data collection and processing steps; Chapter 6 describes the weighting method used; Chapters 7 and 8 review data quality and address comparability of the 2012 APS data with data from other sources; Chapter 9 lists survey products including analytical articles, data tables and reference material; Appendices provide additional definitions and links to other relevant documentation.
Release date: 2014-02-20
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