Analysis

Description:

In 1997, the US Office of Management and Budget issued revised standards for the collection of race information within the federal statistical system. One revision allows individuals to choose more than one race group when responding to federal surveys and other federal data collections. This change presents challenges for analyses that involve data collected under both the old and new race-reporting systems, since the data on race are not comparable. The following paper discusses the problems encountered by these changes and methods developed to overcome them.

Since most people under both systems report only a single race, a common proposed solution is to try to bridge the transition by assigning a single-race category to each multiple-race reporter under the new system, and to conduct analyses using just the observed and assigned single-race categories. Thus, the problem can be viewed as a missing-data problem, in which single-race responses are missing for multiple-race reporters and needing to be imputed.

The US Office of Management and Budget suggested several simple bridging methods to handle this missing-data problem. Schenker and Parker (Statistics in Medicine, forthcoming) analysed data from the National Health Interview Survey of the US National Center for Health Statistics, which allows multiple-race reporting but also asks multiple-race reporters to specify a primary race, and found that improved bridging methods could result from incorporating individual-level and contextual covariates into the bridging models.

While Schenker and Parker discussed only three large multiple-race groups, the current application requires predicting single-race categories for several small multiple-race groups as well. Thus, problems of sparse data arise in fitting the bridging models. We address these problems by building combined models for several multiple-race groups, thus borrowing strength across them. These and other methodological issues are discussed.

Description:

Although the use of school vouchers is growing in the developing world, the impact of vouchers is an open question. Any sort of long-term assessment of this activity is rare. This paper estimates the long-term effect of Colombia's PACES program, which provided over 125,000 poor children with vouchers that covered half the cost of private secondary school.

The PACES program presents an unusual opportunity to assess the effect of demand-side education financing in a Latin American country where private schools educate a substantial proportion of pupils. The program is of special interest because many vouchers were assigned by lottery, so program effects can be reliably assessed.

We use administrative records to assess the long-term impact of PACES vouchers on high school graduation status and test scores. The principal advantage of administrative records is that there is no loss-to-follow-up and the data are much cheaper than a costly and potentially dangerous survey effort. On the other hand, individual ID numbers may be inaccurate, complicating record linkage, and selection bias contaminates the sample of test-takers. We discuss solutions to these problems. The results suggest that the program increased secondary school completion rates, and that college-entrance test scores were higher for lottery winners than losers.

Description:

The census data are widely used in the distribution and targeting of resources at national, regional and local levels. In the United Kingdom (UK), a population census is conducted every 10 years. As time elapses, the census data become outdated and less relevant, thus making the distribution of resources less equitable. This paper examines alternative methods in rectifying this.

A number of small area methods have been developed for producing postcensal estimates, including the Structural Preserving Estimation technique as a result of Purcell and Kish (1980). This paper develops an alternative approach that is based on a linear mixed modelling approach to producing postcensal estimates. The validity of the methodology is tested on simulated data from the Finnish population register and the technique is applied to producing updated estimates for a number of the 1991 UK census variables.

Description:

Nearly all surveys use complex sampling designs to collect data and these data are frequently used for statistical analyses beyond the estimation of simple descriptive parameters of the target population. Many procedures available in popular statistical software packages are not appropriate for this purpose because the analyses are based on the assumption that the sample has been drawn with simple random sampling. Therefore, the results of the analyses conducted using these software packages would not be valid when the sample design incorporates multistage sampling, stratification, or clustering. Two commonly used methods for analysing data from complex surveys are replication and Taylor linearization techniques. We discuss the use of WESVAR software to compute estimates and replicate variance estimates by properly reflecting complex sampling and estimation procedures. We also illustrate the WESVAR features by using data from two Westat surveys that employ complex survey designs: the Third International Mathematics and Science Study (TIMSS) and the National Health and Nutrition Examination Survey (NHANES).

Description:

For most survey samples, if not all, we have to deal with the problem of missing values. Missing values are usually caused by nonresponse (such as refusal of participant or interviewer was unable to contact respondent) but can also be produced at the editing step of the survey in an attempt to resolve problems of inconsistent or suspect responses. The presence of missing values (nonresponse) generally leads to bias and uncertainty in the estimates. To treat this problem, the appropriate use of all available auxiliary information permits the maximum reduction of nonresponse bias and variance. During this presentation, we will define the problem, describe the methodology that SEVANI is based on and discuss potential uses of the system. We will end the discussion by presenting some examples based on real data to illustrate the theory in practice.

In practice, it is very difficult to estimate the nonresponse bias. However, it is possible to estimate the nonresponse variance by assuming that the bias is negligible. In the last decade, many methods were indeed proposed to estimate this variance, and some of these have been implemented in the System for Estimation of Variance due to Nonresponse and Imputation (SEVANI).

The methodology used to develop SEVANI is based on the theory of two-phase sampling where we assume that the second phase of selection is nonresponse. However, contrary to two-phase sampling, an imputation or nonresponse model is required for variance estimation. SEVANI also assumes that nonresponse is treated by reweighting respondent units or by imputing their missing values. Three imputation methods are considered: the imputation of an auxiliary variable, regression imputation (deterministic or random) and nearest-neighbour imputation.

Description:

A wide class of models of interest in social and economic research can be represented by specifying a parametric structure for the covariances of observed variables. The availability of software, such as LISREL (Jöreskog and Sörbom 1988) and EQS (Bentler 1995), has enabled these models to be fitted to survey data in many applications. In this paper, we consider approaches to inference about such models using survey data derived by complex sampling schemes. We consider evidence of finite sample biases in parameter estimation and ways to reduce such biases (Altonji and Segal 1996) and associated issues of efficiency of estimation, standard error estimation and testing. We use longitudinal data from the British Household Panel Survey for illustration. As these data are subject to attrition, we also consider the issue of how to use nonresponse weights in the modelling.

Description:

Behavioural researchers use a variety of techniques to predict respondent scores on constructs that are not directly observable. Examples of such constructs include job satisfaction, work stress, aptitude for graduate study, children's mathematical ability, etc. The techniques commonly used for modelling and predicting scores on such constructs include factor analysis, classical psychometric scaling and item response theory (IRT), and for each technique there are often several different strategies that can be used to generate individual scores. However, researchers are seldom satisfied with simply measuring these constructs. They typically use the derived scores in multiple regression, analysis of variance and numerous multivariate procedures. Though using predicted scores in this way can result in biased estimates of model parameters, not all researchers are aware of this difficulty. The paper will review the literature on this issue, with particular emphasis on IRT methods. Problems will be illustrated, some remedies suggested, and areas for further research will be identified.

Description:

Analysis of dose-response relationships has long been important in toxicology. More recently, this type of analysis has been employed to evaluate public education campaigns. The data that are collected in such evaluations are likely to come from standard household survey designs with all the usual complexities of multiple stages, stratification and variable selection probabilities. On a recent evaluation, a system was developed with the following features: categorization of doses into three or four levels, propensity scoring of dose selection and a new jack-knifed Jonckheere-Terpstra test for a monotone dose-response relationship. This system allows rapid production of tests for monotone dose-response relationships that are corrected both for sample design and for confounding. The focus of this paper will be the results of a Monte-Carlo simulation of the properties of the jack-knifed Jonckheere-Terpstra.

Moreover, there is no experimental control over dosages and the possibility of confounding variables must be considered. Standard regressions in WESVAR and SUDAAN could be used to determine if there is a linear dose-response relationship while controlling on confounders, but such an approach obviously has low power to detect nonlinear but monotone dose-response relationships and is time-consuming to implement if there are a large number of possible outcomes of interest.

Description:

While censuses and surveys are often said to measure populations as they are, most reflect information about individuals as they were at the time of measurement, or even at some prior time point. Inferences from such data therefore should take into account change over time at both the population and individual levels. In this paper, we provide a unifying framework for such inference problems, illustrating it through a diverse series of examples including: (1) estimating residency status on Census Day using multiple administrative records, (2) combining administrative records for estimating the size of the US population, (3) using rolling averages from the American Community Survey, and (4) estimating the prevalence of human rights abuses.

Specifically, at the population level, the estimands of interest, such as the size or mean characteristics of a population, might be changing. At the same time, individual subjects might be moving in and out of the frame of the study or changing their characteristics. Such changes over time can affect statistical studies of government data that combine information from multiple data sources, including censuses, surveys and administrative records, an increasingly common practice. Inferences from the resulting merged databases often depend heavily on specific choices made in combining, editing and analysing the data that reflect assumptions about how populations of interest change or remain stable over time.

Description:

According to recent literature, the calibration method has gained much popularity on survey sampling and calibration estimators are routinely computed by many survey organizations. The choice of calibration variables for all existing approaches, however, remains ad hoc. In this article, we show that the model-calibration estimator for the finite population mean, which was proposed by Wu and Sitter (2001) through an intuitive argument, is indeed optimal among a class of calibration estimators. We further present optimal calibration estimators for the finite population distribution function, the population variance, variance of a linear estimator and other quadratic finite population functions under a unified framework. A limited simulation study shows that the improvement of these optimal estimators over the conventional ones can be substantial. The question of when and how auxiliary information can be used for both the estimation of the population mean using a generalized regression estimator and the estimation of its variance through calibration is addressed clearly under the proposed general methodology. Constructions of proposed estimators under two-phase sampling and some fundamental issues in using auxiliary information from survey data are also addressed under the context of optimal estimation.

Description: Release published in The Daily – Statistics Canada’s official release bulletin

Description: Release published in The Daily – Statistics Canada’s official release bulletin

Description: This infographic provides estimates on health care workers' stress, alcohol consumption and positive health behaviours during the COVID-19 pandemic. Estimates are provided across three primary health care worker groups: nurses, physicians, and Personal Support Workers/Care Aides (PSWs/CAs).

Description: Many aspects of Canadian society affect and are affected by climate change. This presentation synthesizes recent research examining the impact of climate change on Canadian society (economy, labour, and health) as well as adaptation and mitigation measures to combat climate change.

Description: Release published in The Daily – Statistics Canada’s official release bulletin

Description: Release published in The Daily – Statistics Canada’s official release bulletin

Description: Release published in The Daily – Statistics Canada’s official release bulletin

Description: StatCan released new analysis into the online culture our kids are growing up in, and it’s far from the best of all possible worlds: misinformation, bullying, violence… and worse.

Analyst Rachel Tsitomeneas joins us to dive into the findings.

Description: This infographic explores ecosystem services, which provide many benefits to society. The infographic provides a visual representation of the three main types of ecosystem services – provisioning services, regulating and maintenance services and cultural services.

Description: Release published in The Daily – Statistics Canada’s official release bulletin

Description: This article takes a closer look into the largest contributors and detractors to growth in each province and territory in 2023. Using data from the May 1, 2024 provincial and territorial GDP by industry release as a starting point, a more comprehensive picture of each jurisdiction’s 2023 economic performance is presented by integrating other economic indicators such as population, prices and labour market measures, and by examining the context in which industries grew or contracted during the reference period.

Description: This fact sheet presents data on icebergs off the coast of Newfoundland and Labrador. The article covers reported iceberg data collected by the International Iceberg Patrol. It also covers how icebergs interact with ocean ecosystems, and the economic and cultural benefits that they provide in Newfoundland and Labrador.

Description: The document focuses on the evolution of Statistics Canada's labour productivity program, tracing its historical background, outlining its structure, as well as detailing the methodology and data sources used. It then discusses the diverse applications of provincial productivity data, identifies key users of productivity statistics, and highlights essential considerations for their interpretation. Finally, the document addresses the review process for quarterly and annual productivity measures and recent program improvements.

Description: Using data from the 2022 Time Use Survey, this study explores how teleworking is associated with time use and well-being. Two primary research questions are addressed: First, is teleworking associated with time use – such as time in sleep, paid and unpaid work, and leisure? Second, is teleworking associated with work-life balance and time pressure?

Description: This article sheds light on the diverse experiences of self-employed workers in Canada by analysing additional indicators such as the prevalence of gig work, plans for the future, and the ability to find clients.

Description: This article is the first main release by Statistics Canada based on findings from the 2022 Canadian Survey on Disability (CSD). It is divided into three sections—demographics, employment, and income—and provides a general snapshot on persons with disabilities to inform on government priorities and community interest in the areas of disability prevalence, labour market participation, and income inequality. Where possible, the report will be compared with results from the 2017 CSD to provide insight into changes over the past five years.

Description: Using data from the 2021 Census, this study investigates the financial impact of the COVID-19 pandemic on racialized workers, focusing on the change in median employment income from 2019 to 2020, and the extent to which payments from the Canada Emergency Response Benefit offset income losses in 2020 among workers affected by the pandemic. Differences between racialized and non-racialized workers are investigated, along with differences among groups of racialized workers, as well as the intersectionality of race and gender.

Description: With an increase in the number of international students and a greater need for affordable housing, questions have arisen about international students housing experiences. This article examines international students’ prevalence of living in unsuitable housing across municipalities enumerated in the 2021 Census of Population long-form questionnaire. The report also presents the rates of unsuitable housing for international students from different source countries and provides comparisons with Canadian-born students.

Description: Selecting immigrants with high levels of education increases their chances of economic success. Immigrants with a bachelor’s degree or higher are more adaptable to changes in the labour market and have steeper growth in employment earnings than those with a trades or high school education. However, many immigrants with a bachelor’s degree or higher have occupations that underutilize their skills, which can reduce their employment income, productivity and well-being. This article updates previously documented trends in education–occupation mismatch with census data from 2001 to 2021.

Description: It is well documented that earnings vary considerably by population group (White, Black, Latin American, etc.). One of the possible reasons may be the fact that educational attainment also varies considerably by population group. Currently, there is a lack of information on the educational pathways of individuals from various population groups who began a postsecondary education program. This article fills this gap by documenting various aspects of the postsecondary experience of different population groups with regard to bachelor’s degree programs.

Description: Once every five years, the Census of Population provides a detailed and comprehensive statistical portrait of Canada that is vital to our country. It is the primary source of sociodemographic data for specific population groups such as lone-parent families, Indigenous peoples, immigrants, seniors and language groups.

In order to help users of census products to better understand the various Census of Population concepts, Statistics Canada has developed, in the context of the activities of the 2021 Census and previous censuses, a collection of short videos. These videos are a reference source for users who are new to census concepts or those who have some experience with these concepts, but may need a refresher or would like to expand their knowledge.

Description: The Departmental Sustainable Development Strategy (DSDS) outlines departmental actions, with measurable performance indicators, that support the implementation strategies of the 2022-2026 Federal Sustainable Development Strategy. The DSDS further outlines Statistics Canada’s sustainable development vision to produce data to help track whether Canada is moving toward a more sustainable future and highlights projects with links to supporting sustainable development goals.

Description: This series provides detailed documentation on the issues, concepts, methodology, data quality and other relevant research related to household expenditures from the Survey of Household Spending, the Homeowner Repair and Renovation Survey and the Food Expenditure Survey.

Description: This report summarizes the annual achievements of the Methodology Research and Development Program (MRDP) sponsored by the Modern Statistical Methods and Data Science Branch at Statistics Canada. This program covers research and development activities in statistical methods with potentially broad application in the agency’s statistical programs; these activities would otherwise be less likely to be carried out during the provision of regular methodology services to those programs. The MRDP also includes activities that provide support in the application of past successful developments in order to promote the use of the results of research and development work. Selected prospective research activities are also presented.

Description: The series covers environment accounts and indicators, environmental surveys, spatial environmental information and other research related to environmental statistics. The technical paper series is intended to stimulate discussion on a range of environmental topics.

Description: This bulletin presents the most up-to-date available information extracted from all of the Aviation Statistics Centre's surveys. Regular features include releases on principal statistics for Canada's major air carriers, airport data, fare basis statistics and traffic data for Canada's most important markets.

Description: This series of analytical articles provides insights on the socio-economic environment in rural communities in Canada. New articles will be released periodically.

Description: Statistics Canada is committed to sharing our knowledge and expertise to help all Canadians develop their data literacy skills by developing a series of data literacy training resources. Data literacy is a key skill needed in the 21st century. It is generally described as the ability to derive meaning from data. Data literacy focuses on the competencies or skills involved in working with data, including the ability to read, analyze, interpret, visualize data, as well as to drive good decision-making.

Description: The fact sheets in this series provide an "at-a-glance" overview of particular aspects of education in Canada and summarize key data trends in selected tables published as part of the Pan-Canadian Education Indicators Program (PCEIP).

The PCEIP mission is to publish a set of statistical measures on education systems in Canada for policy makers, practitioners and the general public to monitor the performance of education systems across jurisdictions and over time. PCEIP is a joint venture of Statistics Canada and the Council of Ministers of Education, Canada (CMEC).

Description: Statistics Canada's Quality of Employment in Canada publication is intended to provide Canadians and Canadian organizations with a better understanding of quality of employment using an internationally-supported statistical framework. Quality of employment is approached as a multidimensional concept, characterized by different elements, which relate to human needs in various ways. To cover all relevant aspects, the framework identified seven dimensions and twelve sub-dimensions of quality of employment.