Analysis

Description:

The weighting cell estimator corrects for unit nonresponse by dividing the sample into homogeneous groups (cells) and applying a ratio correction to the respondents within each cell. Previous studies of the statistical properties of weighting cell estimators have assumed that these cells correspond to known population cells with homogeneous characteristics. In this article, we study the properties of the weighting cell estimator under a response probability model that does not require correct specification of homogeneous population cells. Instead, we assume that the response probabilities are a smooth but otherwise unspecified function of a known auxiliary variable. Under this more general model, we study the robustness of the weighting cell estimator against model misspecification. We show that, even when the population cells are unknown, the estimator is consistent with respect to the sampling design and the response model. We describe the effect of the number of weighting cells on the asymptotic properties of the estimator. Simulation experiments explore the finite sample properties of the estimator. We conclude with some guidance on how to select the size and number of cells for practical implementation of weighting cell estimation when those cells cannot be specified a priori.

Description:

When imputation is used to assign values for missing items in sample surveys, naïve methods of estimating the variances of survey estimates that treat the imputed values as if they were observed give biased variance estimates. This article addresses the problem of variance estimation for a linear estimator in which missing values are assigned by a single hot deck imputation (a form of imputation that is widely used in practice). We propose estimators of the variance of a linear hot deck imputed estimator using a decomposition of the total variance suggested by Särndal (1992). A conditional approach to variance estimation is developed that is applicable to both weighted and unweighted hot deck imputation. Estimation of the variance of a domain estimator is also examined.

Description:

One of the main objectives of a sample survey is the computation of estimates of means and totals for specific domains of interest. Domains are determined either before the survey is carried out (primary domains) or after it has been carried out (secondary domains). The reliability of the associated estimates depends on the variability of the sample size as well as on the y-variables of interest. This variability cannot be controlled in the absence of auxiliary information for subgroups of the population. However, if auxiliary information is available, the estimated reliability of the resulting estimates can be controlled to some extent. In this paper, we study the potential improvements in terms of the reliability of domain estimates that use auxiliary information. The properties (bias, coverage, efficiency) of various estimators that use auxiliary information are compared using a conditional approach.

Description:

This article studies the use of the sample distribution for the prediction of finite population totals under single-stage sampling. The proposed predictors employ the sample values of the target study variable, the sampling weights of the sample units and possibly known population values of auxiliary variables. The prediction problem is solved by estimating the expectation of the study values for units outside the sample as a function of the corresponding expectation under the sample distribution and the sampling weights. The prediction mean square error is estimated by a combination of an inverse sampling procedure and a re-sampling method. An interesting outcome of the present analysis is that several familiar estimators in common use are shown to be special cases of the proposed approach, thus providing them a new interpretation. The performance of the new and some old predictors in common use is evaluated and compared by a Monte Carlo simulation study using a real data set.

Description:

Multilevel models are often fitted to survey data gathered with a complex multistage sampling design. However, if such a design is informative, in the sense that the inclusion probabilities depend on the response variable even after conditioning on the covariates, then standard maximum likelihood estimators are biased. In this paper, following the Pseudo Maximum Likelihood (PML) approach of Skinner (1989), we propose a probability weighted estimation procedure for multilevel ordinal and binary models which eliminates the bias generated by the informativeness of the design. The reciprocals of the inclusion probabilities at each sampling stage are used to weight the log likelihood function and the weighted estimators obtained in this way are tested by means of a simulation study for the simple case of a binary random intercept model with and without covariates. The variance estimators are obtained by a bootstrap procedure. The maximization of the weighted log likelihood of the model is done by the NLMIXED procedure of the SAS, which is based on adaptive Gaussian quadrature. Also the bootstrap estimation of variances is implemented in the SAS environment.

Description:

The Canadian Labour Force Survey (LFS) was not designed to be a longitudinal survey. However, given that respondent households typically remain in the sample for six consecutive months, it is possible to reconstruct six-month fragments of longitudinal data from the monthly records of household members. Such longitudinal micro-data - altogether consisting of millions of person-months of individual and family level data - is useful for analyses of monthly labour market dynamics over relatively long periods of time, 25 years and more.

We make use of these data to estimate hazard functions describing transitions among the labour market states: self-employed, paid employee and not employed. Data on job tenure, for employed respondents, and on the date last worked, for those not employed - together with the date of survey responses - allow the construction of models that include terms reflecting seasonality and macro-economic cycles as well as the duration dependence of each type of transition. In addition, the LFS data permits spouse labour market activity and family composition variables to be included in the hazard models as time-varying covariates. The estimated hazard equations have been incorporated in the LifePaths microsimulation model. In that setting, the equations have been used to simulate lifetime employment activity from past, present and future birth cohorts. Simulation results have been validated by comparison with the age profiles of LFS employment/population ratios for the period 1976 to 2001.

Description:

Combining response data from the Belgian Fertility and Family Survey with individual level and municipality level data from the 1991 Census for both nonrespondents and respondents, multilevel logistic regression models for contact and cooperation propensity are estimated. The covariates introduced are a selection of indirect features, all out of the researchers' direct control. Contrary to previous research, Socio Economic Status is found to be positively related to cooperation. Another unexpected result is the absence of any considerable impact of ecological correlates such as urbanity.

Description:

In this Issue is a column where the Editor biefly presents each paper of the current issue of Survey Methodology. As well, it sometimes contain informations on structure or management changes in the journal.

Description:

This study examines variation among Canadian schools and provinces in their reading performance. It uses data from the 2000 Programme for International Student Assessment (PISA) of the Organisation for Economic Co-operation and Development's (OECD).

Description:

This article presents information on health, education and language for Métis, Inuit and North American Indian children living in non-reserve areas. It uses the 'children and youth' component of the 2001 Aboriginal Peoples Survey (APS).

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

Description: This infographic uses data from the 2018 and 2022 Canadian Internet Use Survey to examine patterns and trends in online banking by population groups.

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

Description: From January 2nd to February 5th, 2024, Statistics Canada conducted the Canadian Survey on Business Conditions. The purpose of this survey is to collect information on businesses in Canada related to emerging issues. This iteration of the survey focuses on business expectations and business conditions in Canada. In addition, the questionnaire for the first quarter of 2024 includes a component specifically for non-profit organizations (NPOs). The intent of this set of questions is to address a present data gap and to provide a better understanding of the non-profit sector. This infographic presents key results from this.

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

Description: This infographic presents some highlights from the 2022 Canadian Income Survey data.

Description: Canada’s Poverty Reduction Strategy introduced the Official Poverty Line for Canada and a dashboard of 12 indicators to track progress on poverty reduction for Canadians and their households. This infographic presents trend information for Canada's official poverty rate and the associated 12 indicators.

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: The impact of immigration on the destination country is contingent not only on the number of immigrants admitted but also on how many of them choose to stay and actively engage in the labour market. This article analyzes the active presence of adult immigrants since the 1990s. Active presence refers to the extent to which immigrants who were admitted to Canada during a specific period actively engage in Canadian society within a specific timeframe.

Description: Headline inflation in Canada reached a 40-year high in 2022. Rising prices reduced the purchasing power of people whose incomes were not keeping pace with inflation and the current high inflation in Canada, as well as in many other countries, may be caused by both demand and supply factors. This article examines whether the current high inflation in Canada is demand–pull or supply–push.

Description: The pandemic has had an unprecedented impact on the Canadian economy. This impact was uneven across different workers and businesses. However, there is little information available on how businesses were affected by and survived through the pandemic according to the characteristics of their owners, especially those owned by certain groups such as women and immigrants. This article uses a linkage of the monthly business openings and closures with the Canadian Employer-Employee Dynamics Database and the Canada Emergency Wage Subsidy to study the survival rate and employment growth of businesses by gender, and immigrant status of owners.

Description: Digital Insights brings together a variety of data from across Statistics Canada and other sources to provide insights and analysis on the digital economy and society in Canada. The topics covered include: e-commerce, digital trade, cyber security and cybercrime, and the impacts of Internet and other technology use on the Canadian economy and society.

Description:

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.

Description:

As Statistics Canada celebrates a significant milestone in 2018, it is time to take a look back at our history to see where we have been and what we have done over the past century. At the same time, it is a chance to reflect on where the agency is headed in the future. This series of articles shows how our work has evolved since 1918: where we started, how we have evolved and what we do now.

Description:

This series of analytical reports provides an overview of the Canadian labour market experiences of immigrants to Canada, based on data from the Labour Force Survey. These reports examine the labour force characteristics of immigrants, by reporting on employment and unemployment at the Canada level, for the provinces and large metropolitan areas. They also provide more detailed analysis by region of birth, as well as in-depth analysis of other specific aspects of the immigrant labour market.

Description: The Health Research Working Paper Series publishes: analytical work-in-progress; background documentation for specific research projects (e.g methodological papers); lengthy reports intended for specific clients, and; compendiums of data tables. Publication in this series does not preclude publication of specific aspects of the work in a peer-reviewed journal.

Description:

Historical works allow readers to peer into the past, not only to satisfy our curiosity about “the way things were,” but also to see how far we’ve come, and to learn from the past. For Statistics Canada, such works are also opportunities to commemorate the agency’s contributions to Canada and its people, and serve as a reminder that an institution such as this continues to evolve each and every day.

On the occasion of Statistics Canada’s 100th anniversary in 2018, Standing on the shoulders of giants: History of Statistics Canada: 1970 to 2008, builds on the work of two significant publications on the history of the agency, picking up the story in 1970 and carrying it through the next 36 years, until 2008. To that end, when enough time has passed to allow for sufficient objectivity, it will again be time to document the agency’s next chapter as it continues to tell Canada’s story in numbers.

Description: This publication presents an overview of recent economic developments in the provinces and territories. The overview covers several broad areas: 1) gross domestic product (GDP) by income and by expenditure, 2) GDP by industry, 3) labour productivity and other related variables.

The publication examines trends in the major aggregates that comprise GDP, both income- and expenditure-based, as well as prices and the financing of economic activity by institutional sector. GDP is also examined by industry. The productivity estimates are meant to assist in the analysis of the short-run relationship among the fluctuations of output, employment, compensation and hours worked. Some issues also contain more technical articles, explaining national accounts methodology or analysing a particular aspect of the economy.

This publication carries the detailed analyses, charts and statistical tables that, prior to its first issue, were released in The Daily (11-001-XIE) under the headings Provincial Economic Accounts and Provincial Gross Domestic Product by industry.

Description:

Understanding the role of women in Canadian society and how it has changed over time is dependent on having information that can begin to shed light on the diverse circumstances and experiences of women. Women in Canada provides an unparalleled compilation of data related to women's family status, education, employment, economic well-being, unpaid work, health, and more.

Women in Canada allows readers to better understand the experience of women compared to that of men. Recognizing that women are not a homogenous group and that experiences differ not only across gender but also within gender groups, Women in Canada includes chapters on immigrant women, women in a visible minority, Aboriginal women, senior women, and women with participation and activity limitations.

Description:

The publication provides data users, health professionals and individual Canadians with geometric means and selected percentiles of blood and urine concentrations of selected environmental chemicals for the Canadian population by sex and age group. The results presented in this publication were collected during cycle 4 of the Canadian Health Measures Survey from January 2014 to December 2015.

Description: In 2018, Statistics Canada will celebrate its 100th anniversary. As we count down to this important milestone, we would like to use our data to highlight some of the sweeping changes that have had a lasting impact on Canadian society and economy.

Description:

The Record Linkage Project Process Model (RLPPM) was developed by Statistics Canada to identify the processes and activities involved in record linkage. The RLPPM applies to linkage projects conducted at the individual and enterprise level using diverse data sources to create new data sources to meet analytical and operational needs.