# Statistics by subject – Statistical methods

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## All (1,585) (25 of 1,585 results)

• Articles and reports: 12-001-X201600114543
Description:

The regression estimator is extensively used in practice because it can improve the reliability of the estimated parameters of interest such as means or totals. It uses control totals of variables known at the population level that are included in the regression set up. In this paper, we investigate the properties of the regression estimator that uses control totals estimated from the sample, as well as those known at the population level. This estimator is compared to the regression estimators that strictly use the known totals both theoretically and via a simulation study.

Release date: 2016-06-22

• Articles and reports: 12-001-X201600114539
Description:

Statistical matching is a technique for integrating two or more data sets when information available for matching records for individual participants across data sets is incomplete. Statistical matching can be viewed as a missing data problem where a researcher wants to perform a joint analysis of variables that are never jointly observed. A conditional independence assumption is often used to create imputed data for statistical matching. We consider a general approach to statistical matching using parametric fractional imputation of Kim (2011) to create imputed data under the assumption that the specified model is fully identified. The proposed method does not have a convergent EM sequence if the model is not identified. We also present variance estimators appropriate for the imputation procedure. We explain how the method applies directly to the analysis of data from split questionnaire designs and measurement error models.

Release date: 2016-06-22

• Articles and reports: 12-001-X201600114538
Description:

The aim of automatic editing is to use a computer to detect and amend erroneous values in a data set, without human intervention. Most automatic editing methods that are currently used in official statistics are based on the seminal work of Fellegi and Holt (1976). Applications of this methodology in practice have shown systematic differences between data that are edited manually and automatically, because human editors may perform complex edit operations. In this paper, a generalization of the Fellegi-Holt paradigm is proposed that can incorporate a large class of edit operations in a natural way. In addition, an algorithm is outlined that solves the resulting generalized error localization problem. It is hoped that this generalization may be used to increase the suitability of automatic editing in practice, and hence to improve the efficiency of data editing processes. Some first results on synthetic data are promising in this respect.

Release date: 2016-06-22

• Articles and reports: 12-001-X201600114546
Description:

Adjusting the base weights using weighting classes is a standard approach for dealing with unit nonresponse. A common approach is to create nonresponse adjustments that are weighted by the inverse of the assumed response propensity of respondents within weighting classes under a quasi-randomization approach. Little and Vartivarian (2003) questioned the value of weighting the adjustment factor. In practice the models assumed are misspecified, so it is critical to understand the impact of weighting might have in this case. This paper describes the effects on nonresponse adjusted estimates of means and totals for population and domains computed using the weighted and unweighted inverse of the response propensities in stratified simple random sample designs. The performance of these estimators under different conditions such as different sample allocation, response mechanism, and population structure is evaluated. The findings show that for the scenarios considered the weighted adjustment has substantial advantages for estimating totals and using an unweighted adjustment may lead to serious biases except in very limited cases. Furthermore, unlike the unweighted estimates, the weighted estimates are not sensitive to how the sample is allocated.

Release date: 2016-06-22

• Articles and reports: 12-001-X201600114541
Description:

In this work we compare nonparametric estimators for finite population distribution functions based on two types of fitted values: the fitted values from the well-known Kuo estimator and a modified version of them, which incorporates a nonparametric estimate for the mean regression function. For each type of fitted values we consider the corresponding model-based estimator and, after incorporating design weights, the corresponding generalized difference estimator. We show under fairly general conditions that the leading term in the model mean square error is not affected by the modification of the fitted values, even though it slows down the convergence rate for the model bias. Second order terms of the model mean square errors are difficult to obtain and will not be derived in the present paper. It remains thus an open question whether the modified fitted values bring about some benefit from the model-based perspective. We discuss also design-based properties of the estimators and propose a variance estimator for the generalized difference estimator based on the modified fitted values. Finally, we perform a simulation study. The simulation results suggest that the modified fitted values lead to a considerable reduction of the design mean square error if the sample size is small.

Release date: 2016-06-22

• Articles and reports: 12-001-X201600114545
Description:

The estimation of quantiles is an important topic not only in the regression framework, but also in sampling theory. A natural alternative or addition to quantiles are expectiles. Expectiles as a generalization of the mean have become popular during the last years as they not only give a more detailed picture of the data than the ordinary mean, but also can serve as a basis to calculate quantiles by using their close relationship. We show, how to estimate expectiles under sampling with unequal probabilities and how expectiles can be used to estimate the distribution function. The resulting fitted distribution function estimator can be inverted leading to quantile estimates. We run a simulation study to investigate and compare the efficiency of the expectile based estimator.

Release date: 2016-06-22

• Articles and reports: 12-001-X201600114542
Description:

The restricted maximum likelihood (REML) method is generally used to estimate the variance of the random area effect under the Fay-Herriot model (Fay and Herriot 1979) to obtain the empirical best linear unbiased (EBLUP) estimator of a small area mean. When the REML estimate is zero, the weight of the direct sample estimator is zero and the EBLUP becomes a synthetic estimator. This is not often desirable. As a solution to this problem, Li and Lahiri (2011) and Yoshimori and Lahiri (2014) developed adjusted maximum likelihood (ADM) consistent variance estimators which always yield positive variance estimates. Some of the ADM estimators always yield positive estimates but they have a large bias and this affects the estimation of the mean squared error (MSE) of the EBLUP. We propose to use a MIX variance estimator, defined as a combination of the REML and ADM methods. We show that it is unbiased up to the second order and it always yields a positive variance estimate. Furthermore, we propose an MSE estimator under the MIX method and show via a model-based simulation that in many situations, it performs better than other ‘Taylor linearization’ MSE estimators proposed recently.

Release date: 2016-06-22

• Articles and reports: 12-001-X201600114540
Description:

In this paper, we compare the EBLUP and pseudo-EBLUP estimators for small area estimation under the nested error regression model and three area level model-based estimators using the Fay-Herriot model. We conduct a design-based simulation study to compare the model-based estimators for unit level and area level models under informative and non-informative sampling. In particular, we are interested in the confidence interval coverage rate of the unit level and area level estimators. We also compare the estimators if the model has been misspecified. Our simulation results show that estimators based on the unit level model perform better than those based on the area level. The pseudo-EBLUP estimator is the best among unit level and area level estimators.

Release date: 2016-06-22

• Articles and reports: 12-001-X201600114544
Description:

In the Netherlands, statistical information about income and wealth is based on two large scale household panels that are completely derived from administrative data. A problem with using households as sampling units in the sample design of panels is the instability of these units over time. Changes in the household composition affect the inclusion probabilities required for design-based and model-assisted inference procedures. Such problems are circumvented in the two aforementioned household panels by sampling persons, who are followed over time. At each period the household members of these sampled persons are included in the sample. This is equivalent to sampling with probabilities proportional to household size where households can be selected more than once but with a maximum equal to the number of household members. In this paper properties of this sample design are described and contrasted with the Generalized Weight Share method for indirect sampling (Lavallée 1995, 2007). Methods are illustrated with an application to the Dutch Regional Income Survey.

Release date: 2016-06-22

• Articles and reports: 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: 11-630-X2016005
Description:

This edition of Canadian Megatrends looks at the rise of dual-earner family with children from 1976 to 2015.

Release date: 2016-05-30

• Articles and reports: 11-630-X2016004
Description:

This edition of Canadian Megatrends looks at changes in the production of honey from 1924 to 2014.

Release date: 2016-04-27

• Articles and reports: 82-003-X201600414489
Description:

Using accelerometry data for children and youth aged 3 to 17 from the Canadian Health Measures Survey, the probability of adherence to physical activity guidelines is estimated using a conditional probability, given the number of active and inactive days distributed as a Betabinomial.

Release date: 2016-04-20

• Technical products: 11-522-X
Description:

Since 1984, an annual international symposium on methodological issues has been sponsored by Statistics Canada. Proceedings have been available since 1987.

Release date: 2016-03-24

• Technical products: 11-522-X201700014726
Description:

Release date: 2016-03-24

• Technical products: 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

• Technical products: 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

• Technical products: 11-522-X201700014722
Description:

Release date: 2016-03-24

• Technical products: 11-522-X201700014735
Description:

Microdata dissemination normally requires data reduction and modification methods be applied, and the degree to which these methods are applied depend on the control methods that will be required to access and use the data. An approach that is in some circumstances more suitable for accessing data for statistical purposes is secure computation, which involves computing analytic functions on encrypted data without the need to decrypt the underlying source data to run a statistical analysis. This approach also allows multiple sites to contribute data while providing strong privacy guarantees. This way the data can be pooled and contributors can compute analytic functions without either party knowing their inputs. We explain how secure computation can be applied in practical contexts, with some theoretical results and real healthcare examples.

Release date: 2016-03-24

• Technical products: 11-522-X201700014719
Description:

Open Data initiatives are transforming how governments and other public institutions interact and provide services to their constituents. They increase transparency and value to citizens, reduce inefficiencies and barriers to information, enable data-driven applications that improve public service delivery, and provide public data that can stimulate innovative business opportunities. As one of the first international organizations to adopt an open data policy, the World Bank has been providing guidance and technical expertise to developing countries that are considering or designing their own initiatives. This presentation will give an overview of developments in open data at the international level along with current and future experiences, challenges, and opportunities. Mr. Herzog will discuss the rationales under which governments are embracing open data, demonstrated benefits to both the public and private sectors, the range of different approaches that governments are taking, and the availability of tools for policymakers, with special emphasis on the roles and perspectives of National Statistics Offices within a government-wide initiative.

Release date: 2016-03-24

• Technical products: 11-522-X201700014721
Description:

Open data is becoming an increasingly important expectation of Canadians, researchers, and developers. Learn how and why the Government of Canada has centralized the distribution of all Government of Canada open data through Open.Canada.ca and how this initiative will continue to support the consumption of statistical information.

Release date: 2016-03-24

• Technical products: 11-522-X201700014738
Description:

In the standard design approach to missing observations, the construction of weight classes and calibration are used to adjust the design weights for the respondents in the sample. Here we use these adjusted weights to define a Dirichlet distribution which can be used to make inferences about the population. Examples show that the resulting procedures have better performance properties than the standard methods when the population is skewed.

Release date: 2016-03-24

• Technical products: 11-522-X201700014723
Description:

The U.S. Census Bureau is researching uses of administrative records in survey and decennial operations in order to reduce costs and respondent burden while preserving data quality. One potential use of administrative records is to utilize the data when race and Hispanic origin responses are missing. When federal and third party administrative records are compiled, race and Hispanic origin responses are not always the same for an individual across different administrative records sources. We explore different sets of business rules used to assign one race and one Hispanic response when these responses are discrepant across sources. We also describe the characteristics of individuals with matching, non-matching, and missing race and Hispanic origin data across several demographic, household, and contextual variables. We find that minorities, especially Hispanics, are more likely to have non-matching Hispanic origin and race responses in administrative records than in the 2010 Census. Hispanics are less likely to have missing Hispanic origin data but more likely to have missing race data in administrative records. Non-Hispanic Asians and non-Hispanic Pacific Islanders are more likely to have missing race and Hispanic origin data in administrative records. Younger individuals, renters, individuals living in households with two or more people, individuals who responded to the census in the nonresponse follow-up operation, and individuals residing in urban areas are more likely to have non-matching race and Hispanic origin responses.

Release date: 2016-03-24

• Technical products: 11-522-X201700014754
Description:

Background: There is increasing interest in measuring and benchmarking health system performance. We compared Canada’s health system with other countries in the Organisation for Economic Co-operation and Development (OECD) on both the national and provincial levels, across 50 indicators of health system performance. This analysis can help provinces identify potential areas for improvement, considering an optimal comparator for international comparisons. Methods: OECD Health Data from 2013 was used to compare Canada’s results internationally. We also calculated provincial results for OECD’s indicators on health system performance, using OECD methodology. We normalized the indicator results to present multiple indicators on the same scale and compared them to the OECD average, 25th and 75th percentiles. Results: Presenting normalized values allow Canada’s results to be compared across multiple OECD indicators on the same scale. No country or province consistently has higher results than the others. For most indicators, Canadian results are similar to other countries, but there remain areas where Canada performs particularly well (i.e. smoking rates) or poorly (i.e. patient safety). This data was presented in an interactive eTool. Conclusion: Comparing Canada’s provinces internationally can highlight areas where improvement is needed, and help to identify potential strategies for improvement.

Release date: 2016-03-24

• Technical products: 11-522-X201700014706
Description:

Over the last decade, Statistics Canada’s Producer Prices Division has expanded its service producer price indexes program and continued to improve its goods and construction producer price indexes program. While the majority of price indexes are based on traditional survey methods, efforts were made to increase the use of administrative data and alternative data sources in order to reduce burden on our respondents. This paper focuses mainly on producer price programs, but also provides information on the growing importance of alternative data sources at Statistics Canada. In addition, it presents the operational challenges and risks that statistical offices could face when relying more and more on third-party outputs. Finally, it presents the tools being developed to integrate alternative data while collecting metadata.

Release date: 2016-03-24

...
Data (8)

## Data (8) (8 of 8 results)

• Public use microdata: 89F0002X
Description:

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: 2018-01-08

• Table: 53-500-X
Description:

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: 95F0495X2001012
Description:

This table contains information from the 2001 Census, presented according to the statistical area classification (SAC). The SAC groups census subdivisions according to whether they are a component of a census metropolitan area, a census agglomeration, a census metropolitan area and census agglomeration influenced zone (strong MIZ, moderate MIZ, weak MIZ or no MIZ) or of the territories (Northwest Territories, Nunavut and Yukon Territory). The SAC is used for data dissemination purposes.

Data characteristics presented according to the SAC include age, visible minority groups, immigration, mother tongue, education, income, work and dwellings. Data are presented for Canada, provinces and territories. The data characteristics presented within this table may differ from those of other products in the "Profiles" series.

Release date: 2004-02-27

• Table: 53-222-X19980006587
Description:

The primary purpose of this article is to present a new time series data and to demonstrate its analytical potential and not to provide a detailed analysis of these data. The analysis in section 5.2.4 will deal primarily with the trends of major variables dealing with domestic and transborder traffic.

Release date: 2000-03-07

• Table: 75M0007X
Description:

The Absence from Work Survey was designed primarily to fulfill the objectives of Human Resources Development Canada. They sponsor the qualified wage loss replacement plan which applies to employers who have their own private plans to cover employee wages lost due to sickness, accident, etc. Employers who fall under the plan are granted a reduction in their quotas payable to the Unemployment Insurance Commission. The data generated from the responses to the supplement will provide input to determine the rates for quota reductions for qualified employers.

Although the Absence from Work Survey collects information on absences from work due to illness, accident or pregnancy, it does not provide a complete picture of people who have been absent from work for these reasons because the concepts and definitions have been developed specifically for the needs of the client. Absences in this survey are defined as being at least two weeks in length, and respondents are only asked the three reasons for their most recent absence and the one preceding it.

Release date: 1999-06-29

• Table: 82-567-X
Description:

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

• Table: 62-010-X19970023422
Description:

The current official time base of the Consumer Price Index (CPI) is 1986=100. This time base was first used when the CPI for June 1990 was released. Statistics Canada is about to convert all price index series to the time base 1992=100. As a result, all constant dollar series will be converted to 1992 dollars. The CPI will shift to the new time base when the CPI for January 1998 is released on February 27th, 1998.

Release date: 1997-11-17

• Public use microdata: 89M0005X
Description:

The objective of this survey was to collect attitudinal, cognitive and behavioral information regarding drinking and driving.

Release date: 1996-10-21

Analysis (879)

## Analysis (879) (25 of 879 results)

• Articles and reports: 11-633-X2018012
Description:

This study investigates the extent to which income tax reassessments and delayed tax filing affect the reliability of Canadian administrative tax datasets used for economic analysis. The study is based on individual income tax records from the T1 Personal Master File and Historical Personal Master File for selected years from 1990 to 2010. These datasets contain tax records for approximately 100% of initial and all income tax filers, who submitted returns to the Canada Revenue Agency (CRA) before specific processing cut-off dates.

Release date: 2018-01-11

• Journals and periodicals: 11-633-X
Description:

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: 2018-01-11

• The Daily
Description: Release published in The Daily – Statistics Canada’s official release bulletin
Release date: 2018-01-08

• Articles and reports: 11-633-X2018011
Description:

The Longitudinal Immigration Database (IMDB) is a comprehensive source of data that plays a key role in the understanding of the economic behaviour of immigrants. It is the only annual Canadian dataset that allows users to study the characteristics of immigrants to Canada at the time of admission and their economic outcomes and regional (inter-provincial) mobility over a time span of more than 30 years. The IMDB combines administrative files on immigrant admissions and non-permanent resident permits from Immigration, Refugees and Citizenship Canada (IRCC) with tax files from the Canadian Revenue Agency (CRA). Information is available for immigrant taxfilers admitted since 1980. Tax records for 1982 and subsequent years are available for immigrant taxfilers.

This report will discuss the IMDB data sources, concepts and variables, record linkage, data processing, dissemination, data evaluation and quality indicators, comparability with other immigration datasets, and the analyses possible with the IMDB.

Release date: 2018-01-08

• The Daily
Description: Release published in The Daily – Statistics Canada’s official release bulletin
Release date: 2018-01-05

• Articles and reports: 18-001-X2017001
Description:

This working paper profiles Canadian firms involved in the development and production of Bioproducts. It provides data on the number and types of Bioproducts firms in 2015, covering bioproducts revenues, research and development, use of biomass, patents, products, business practices and the impact of government regulations on the sector.

Release date: 2017-12-22

• Articles and reports: 12-001-X201700254872
Description:

This note discusses the theoretical foundations for the extension of the Wilson two-sided coverage interval to an estimated proportion computed from complex survey data. The interval is shown to be asymptotically equivalent to an interval derived from a logistic transformation. A mildly better version is discussed, but users may prefer constructing a one-sided interval already in the literature.

Release date: 2017-12-21

• The Daily
Description: Release published in The Daily – Statistics Canada’s official release bulletin
Release date: 2017-12-21

• Journals and periodicals: 12-001-X
Description:

The journal publishes articles dealing with various aspects of statistical development relevant to a statistical agency, such as design issues in the context of practical constraints, use of different data sources and collection techniques, total survey error, survey evaluation, research in survey methodology, time series analysis, seasonal adjustment, demographic studies, data integration, estimation and data analysis methods, and general survey systems development. The emphasis is placed on the development and evaluation of specific methodologies as applied to data collection or the data themselves.

Release date: 2017-12-21

• Articles and reports: 12-001-X201700254888
Description:

We discuss developments in sample survey theory and methods covering the past 100 years. Neyman’s 1934 landmark paper laid the theoretical foundations for the probability sampling approach to inference from survey samples. Classical sampling books by Cochran, Deming, Hansen, Hurwitz and Madow, Sukhatme, and Yates, which appeared in the early 1950s, expanded and elaborated the theory of probability sampling, emphasizing unbiasedness, model free features, and designs that minimize variance for a fixed cost. During the period 1960-1970, theoretical foundations of inference from survey data received attention, with the model-dependent approach generating considerable discussion. Introduction of general purpose statistical software led to the use of such software with survey data, which led to the design of methods specifically for complex survey data. At the same time, weighting methods, such as regression estimation and calibration, became practical and design consistency replaced unbiasedness as the requirement for standard estimators. A bit later, computer-intensive resampling methods also became practical for large scale survey samples. Improved computer power led to more sophisticated imputation for missing data, use of more auxiliary data, some treatment of measurement errors in estimation, and more complex estimation procedures. A notable use of models was in the expanded use of small area estimation. Future directions in research and methods will be influenced by budgets, response rates, timeliness, improved data collection devices, and availability of auxiliary data, some of which will come from “Big Data”. Survey taking will be impacted by changing cultural behavior and by a changing physical-technical environment.

Release date: 2017-12-21

• Articles and reports: 12-001-X201700254871
Description:

In this paper the question is addressed how alternative data sources, such as administrative and social media data, can be used in the production of official statistics. Since most surveys at national statistical institutes are conducted repeatedly over time, a multivariate structural time series modelling approach is proposed to model the series observed by a repeated surveys with related series obtained from such alternative data sources. Generally, this improves the precision of the direct survey estimates by using sample information observed in preceding periods and information from related auxiliary series. This model also makes it possible to utilize the higher frequency of the social media to produce more precise estimates for the sample survey in real time at the moment that statistics for the social media become available but the sample data are not yet available. The concept of cointegration is applied to address the question to which extent the alternative series represent the same phenomena as the series observed with the repeated survey. The methodology is applied to the Dutch Consumer Confidence Survey and a sentiment index derived from social media.

Release date: 2017-12-21

• Articles and reports: 12-001-X201700254896
Description:

This note by Sharon L. Lohr presents a discussion of the paper “Sample survey theory and methods: Past, present, and future directions” where J.N.K. Rao and Wayne A. Fuller share their views regarding the developments in sample survey theory and methods covering the past 100 years.

Release date: 2017-12-21

• Articles and reports: 12-001-X201700254897
Description:

This note by Chris Skinner presents a discussion of the paper “Sample survey theory and methods: Past, present, and future directions” where J.N.K. Rao and Wayne A. Fuller share their views regarding the developments in sample survey theory and methods covering the past 100 years.

Release date: 2017-12-21

• Articles and reports: 12-001-X201700254894
Description:

This note by Danny Pfeffermann presents a discussion of the paper “Sample survey theory and methods: Past, present, and future directions” where J.N.K. Rao and Wayne A. Fuller share their views regarding the developments in sample survey theory and methods covering the past 100 years.

Release date: 2017-12-21

• Articles and reports: 12-001-X201700254887
Description:

This paper proposes a new approach to decompose the wage difference between men and women that is based on a calibration procedure. This approach generalizes two current decomposition methods that are re-expressed using survey weights. The first one is the Blinder-Oaxaca method and the second one is a reweighting method proposed by DiNardo, Fortin and Lemieux. The new approach provides a weighting system that enables us to estimate such parameters of interest like quantiles. An application to data from the Swiss Structure of Earnings Survey shows the interest of this method.

Release date: 2017-12-21

• Articles and reports: 12-001-X201700254895
Description:

This note by Graham Kalton presents a discussion of the paper “Sample survey theory and methods: Past, present, and future directions” where J.N.K. Rao and Wayne A. Fuller share their views regarding the developments in sample survey theory and methods covering the past 100 years.

Release date: 2017-12-21

• The Daily
Description: Release published in The Daily – Statistics Canada’s official release bulletin
Release date: 2017-12-18

• Articles and reports: 11-626-X2017077
Description:

On April 13, 2017, the Government of Canada tabled legislation to legalize the recreational use of cannabis by adults. This will directly impact Canada’s statistical system. The focus of this Economic Insights article is to provide experimental estimates for the volume of cannabis consumption, based on existing information on the prevalence of cannabis use. The article presents experimental estimates of the number of tonnes of cannabis consumed by age group for the period from 1960 to 2015. The experimental estimates rely on survey data from multiple sources, statistical techniques to link the sources over time, and assumptions about consumption behaviour. They are subject to revision as improved or additional data sources become available.

Release date: 2017-12-18

• The Daily
Description: Release published in The Daily – Statistics Canada’s official release bulletin
Release date: 2017-10-11

• Articles and reports: 11F0019M2017399
Description:

Canada is a trading nation that produces significant quantities of resource outputs. Consequently, the behaviour of resource prices that are important for Canada is germane to understanding the progress of real income growth and the prosperity of the country and the provinces. Demand and supply shocks or changes in monetary policy in international markets may exert significant influence on resource prices, and their fluctuations constitute an important avenue for the transmission of external shocks into the domestic economy. This paper develops historical estimates of the Bank of Canada commodity price index (BCPI) and links them to modern estimates. Using a collection of historical data sources, it estimates weights and prices sufficiently consistently to merit the construction of long-run estimates that may be linked to the modern Fisher BCPI.

Release date: 2017-10-11

• Articles and reports: 13-605-X201700114840
Description:

Statistics Canada is presently preparing the statistical system to be able to gauge the impact of the transition from illegal to legal non-medical cannabis use and to shed light on the social and economic activities related to the use of cannabis thereafter. While the system of social statistics captures some information on the use of cannabis, updates will be required to more accurately measure health effects and the impact on the judicial system. Current statistical infrastructure used to more comprehensively measure the use and impacts of substances such as tobacco and alcohol could be adapted to do the same for cannabis. However, available economic statistics are largely silent on the role illegal drugs play in the economy. Both social and economic statistics will need to be updated to reflect the legalization of cannabis and the challenge is especially great for economic statistics This paper provides a summary of the work that is now under way toward these ends.

Release date: 2017-09-28

• Articles and reports: 11-633-X2017009
Description:

This document describes the procedures for using linked administrative data sources to estimate paid parental leave rates in Canada and the issues surrounding this use.

Release date: 2017-08-29

• The Daily
Description: Release published in The Daily – Statistics Canada’s official release bulletin
Release date: 2017-07-28

• Articles and reports: 11-633-X2017008
Description:

The DYSEM microsimulation modelling platform provides a demographic and socioeconomic core that can be readily built upon to develop custom dynamic microsimulation models or applications. This paper describes DYSEM and provides an overview of its intended uses, as well as the methods and data used in its development.

Release date: 2017-07-28

• Articles and reports: 12-001-X201700114822
Description:

We use a Bayesian method to infer about a finite population proportion when binary data are collected using a two-fold sample design from small areas. The two-fold sample design has a two-stage cluster sample design within each area. A former hierarchical Bayesian model assumes that for each area the first stage binary responses are independent Bernoulli distributions, and the probabilities have beta distributions which are parameterized by a mean and a correlation coefficient. The means vary with areas but the correlation is the same over areas. However, to gain some flexibility we have now extended this model to accommodate different correlations. The means and the correlations have independent beta distributions. We call the former model a homogeneous model and the new model a heterogeneous model. All hyperparameters have proper noninformative priors. An additional complexity is that some of the parameters are weakly identified making it difficult to use a standard Gibbs sampler for computation. So we have used unimodal constraints for the beta prior distributions and a blocked Gibbs sampler to perform the computation. We have compared the heterogeneous and homogeneous models using an illustrative example and simulation study. As expected, the two-fold model with heterogeneous correlations is preferred.

Release date: 2017-06-22

...
Reference (698)

## Reference (698) (25 of 698 results)

• Surveys and statistical programs – Documentation: 71-526-X
Description:

The Canadian Labour Force Survey (LFS) is the official source of monthly estimates of total employment and unemployment. Following the 2011 census, the LFS underwent a sample redesign to account for the evolution of the population and labour market characteristics, to adjust to changes in the information needs and to update the geographical information used to carry out the survey. The redesign program following the 2011 census culminated with the introduction of a new sample at the beginning of 2015. This report is a reference on the methodological aspects of the LFS, covering stratification, sampling, collection, processing, weighting, estimation, variance estimation and data quality.

Release date: 2017-12-21

• Index and guides: 98-500-X
Description:

Provides information that enables users to effectively use, apply and interpret data from the Census of Population. Each guide contains definitions and explanations on census concepts as well as a data quality and historical comparability section. Additional information will be included for specific variables to help users better understand the concepts and questions used in the census.

Release date: 2017-11-29

• Technical products: 84-538-X
Description:

This document presents the methodology underlying the production of the life tables for Canada, provinces and territories, from reference period 1980/1982 and onward.

Release date: 2017-11-16

• Technical products: 12-206-X
Description:

This report summarizes the achievements program sponsored by the three methodology divisions of Statistics Canada. This program covers research and development activities in statistical methods with potentially broad application in the Agency's survey programs, which would not otherwise have been carried out during the provision of methodology services to those survey programs. They also include tasks that provided client support in the application of past successful developments in order to promote the utilization of the results of research and development work.

Release date: 2017-11-03

• Index and guides: 12-606-X
Description:

This is a toolkit intended to aid data producers and data users external to Statistics Canada.

Release date: 2017-09-27

• Technical products: 12-586-X
Description:

The Quality Assurance Framework (QAF) serves as the highest-level governance tool for quality management at Statistics Canada. The QAF gives an overview of the quality management and risk mitigation strategies used by the Agency’s program areas. The QAF is used in conjunction with Statistics Canada management practices, such as those described in the Quality Guidelines.

Release date: 2017-04-21

• Technical products: 91-621-X2017001
Release date: 2017-01-25

• Technical products: 75F0002M2016003
Description:

Periodically, income statistics are updated to reflect the most recent population estimates from the Census. Accordingly, with the release of the 2014 data from the Canadian Income Survey, Statistics Canada has revised estimates for 2006 to 2013 using new population totals from the 2011 Census. This paper provides unrevised estimates alongside revised estimates for key income series, indicating where the revisions were significant.

Release date: 2016-07-08

• Technical products: 75F0002M
Description:

This series provides detailed documentation on income developments, including survey design issues, data quality evaluation and exploratory research.

Release date: 2016-07-08

• Technical products: 11-522-X
Description:

Since 1984, an annual international symposium on methodological issues has been sponsored by Statistics Canada. Proceedings have been available since 1987.

Release date: 2016-03-24

• Technical products: 11-522-X201700014726
Description:

Release date: 2016-03-24

• Technical products: 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

• Technical products: 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

• Technical products: 11-522-X201700014722
Description:

Release date: 2016-03-24

• Technical products: 11-522-X201700014735
Description:

Microdata dissemination normally requires data reduction and modification methods be applied, and the degree to which these methods are applied depend on the control methods that will be required to access and use the data. An approach that is in some circumstances more suitable for accessing data for statistical purposes is secure computation, which involves computing analytic functions on encrypted data without the need to decrypt the underlying source data to run a statistical analysis. This approach also allows multiple sites to contribute data while providing strong privacy guarantees. This way the data can be pooled and contributors can compute analytic functions without either party knowing their inputs. We explain how secure computation can be applied in practical contexts, with some theoretical results and real healthcare examples.

Release date: 2016-03-24

• Technical products: 11-522-X201700014719
Description:

Open Data initiatives are transforming how governments and other public institutions interact and provide services to their constituents. They increase transparency and value to citizens, reduce inefficiencies and barriers to information, enable data-driven applications that improve public service delivery, and provide public data that can stimulate innovative business opportunities. As one of the first international organizations to adopt an open data policy, the World Bank has been providing guidance and technical expertise to developing countries that are considering or designing their own initiatives. This presentation will give an overview of developments in open data at the international level along with current and future experiences, challenges, and opportunities. Mr. Herzog will discuss the rationales under which governments are embracing open data, demonstrated benefits to both the public and private sectors, the range of different approaches that governments are taking, and the availability of tools for policymakers, with special emphasis on the roles and perspectives of National Statistics Offices within a government-wide initiative.

Release date: 2016-03-24

• Technical products: 11-522-X201700014721
Description:

Open data is becoming an increasingly important expectation of Canadians, researchers, and developers. Learn how and why the Government of Canada has centralized the distribution of all Government of Canada open data through Open.Canada.ca and how this initiative will continue to support the consumption of statistical information.

Release date: 2016-03-24

• Technical products: 11-522-X201700014738
Description:

In the standard design approach to missing observations, the construction of weight classes and calibration are used to adjust the design weights for the respondents in the sample. Here we use these adjusted weights to define a Dirichlet distribution which can be used to make inferences about the population. Examples show that the resulting procedures have better performance properties than the standard methods when the population is skewed.

Release date: 2016-03-24

• Technical products: 11-522-X201700014723
Description:

The U.S. Census Bureau is researching uses of administrative records in survey and decennial operations in order to reduce costs and respondent burden while preserving data quality. One potential use of administrative records is to utilize the data when race and Hispanic origin responses are missing. When federal and third party administrative records are compiled, race and Hispanic origin responses are not always the same for an individual across different administrative records sources. We explore different sets of business rules used to assign one race and one Hispanic response when these responses are discrepant across sources. We also describe the characteristics of individuals with matching, non-matching, and missing race and Hispanic origin data across several demographic, household, and contextual variables. We find that minorities, especially Hispanics, are more likely to have non-matching Hispanic origin and race responses in administrative records than in the 2010 Census. Hispanics are less likely to have missing Hispanic origin data but more likely to have missing race data in administrative records. Non-Hispanic Asians and non-Hispanic Pacific Islanders are more likely to have missing race and Hispanic origin data in administrative records. Younger individuals, renters, individuals living in households with two or more people, individuals who responded to the census in the nonresponse follow-up operation, and individuals residing in urban areas are more likely to have non-matching race and Hispanic origin responses.

Release date: 2016-03-24

• Technical products: 11-522-X201700014754
Description:

Background: There is increasing interest in measuring and benchmarking health system performance. We compared Canada’s health system with other countries in the Organisation for Economic Co-operation and Development (OECD) on both the national and provincial levels, across 50 indicators of health system performance. This analysis can help provinces identify potential areas for improvement, considering an optimal comparator for international comparisons. Methods: OECD Health Data from 2013 was used to compare Canada’s results internationally. We also calculated provincial results for OECD’s indicators on health system performance, using OECD methodology. We normalized the indicator results to present multiple indicators on the same scale and compared them to the OECD average, 25th and 75th percentiles. Results: Presenting normalized values allow Canada’s results to be compared across multiple OECD indicators on the same scale. No country or province consistently has higher results than the others. For most indicators, Canadian results are similar to other countries, but there remain areas where Canada performs particularly well (i.e. smoking rates) or poorly (i.e. patient safety). This data was presented in an interactive eTool. Conclusion: Comparing Canada’s provinces internationally can highlight areas where improvement is needed, and help to identify potential strategies for improvement.

Release date: 2016-03-24

• Technical products: 11-522-X201700014706
Description:

Over the last decade, Statistics Canada’s Producer Prices Division has expanded its service producer price indexes program and continued to improve its goods and construction producer price indexes program. While the majority of price indexes are based on traditional survey methods, efforts were made to increase the use of administrative data and alternative data sources in order to reduce burden on our respondents. This paper focuses mainly on producer price programs, but also provides information on the growing importance of alternative data sources at Statistics Canada. In addition, it presents the operational challenges and risks that statistical offices could face when relying more and more on third-party outputs. Finally, it presents the tools being developed to integrate alternative data while collecting metadata.

Release date: 2016-03-24

• Technical products: 11-522-X201700014741
Description:

Release date: 2016-03-24

• Technical products: 11-522-X201700014729
Description:

The use of administrative datasets as a data source in official statistics has become much more common as there is a drive for more outputs to be produced more efficiently. Many outputs rely on linkage between two or more datasets, and this is often undertaken in a number of phases with different methods and rules. In these situations we would like to be able to assess the quality of the linkage, and this involves some re-assessment of both links and non-links. In this paper we discuss sampling approaches to obtain estimates of false negatives and false positives with reasonable control of both accuracy of estimates and cost. Approaches to stratification of links (non-links) to sample are evaluated using information from the 2011 England and Wales population census.

Release date: 2016-03-24

• Technical products: 11-522-X201700014720
Description:

This paper is intended to give a brief overview of Statistics Canada’s involvement with open data. It will first discuss how the principles of open data are being adopted in the agency’s ongoing dissemination practices. It will then discuss the agency’s involvement with the whole of government open data initiative. This involvement is twofold: Statistics Canada is the major data contributor to the Government of Canada Open Data portal, but also plays an important behind the scenes role as the service provider responsible for developing and maintaining the Open Data portal (which is now part of the wider Open Government portal.)

Release date: 2016-03-24

• Technical products: 11-522-X201700014759
Description:

Many of the challenges and opportunities of modern data science have to do with dynamic aspects: evolving populations, the growing volume of administrative and commercial data on individuals and establishments, continuous flows of data and the capacity to analyze and summarize them in real time, and the deterioration of data absent the resources to maintain them. With its emphasis on data quality and supportable results, the domain of Official Statistics is ideal for highlighting statistical and data science issues in a variety of contexts. The messages of the talk include the importance of population frames and their maintenance; the potential for use of multi-frame methods and linkages; how the use of large scale non-survey data as auxiliary information shapes the objects of inference; the complexity of models for large data sets; the importance of recursive methods and regularization; and the benefits of sophisticated data visualization tools in capturing change.

Release date: 2016-03-24

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