Analysis

Description: Population undercoverage is one of the main hurdles faced by statistical analysis with non-probability survey samples. We discuss two typical scenarios of undercoverage, namely, stochastic undercoverage and deterministic undercoverage. We argue that existing estimation methods under the positivity assumption on the propensity scores (i.e., the participation probabilities) can be directly applied to handle the scenario of stochastic undercoverage. We explore strategies for mitigating biases in estimating the mean of the target population under deterministic undercoverage. In particular, we examine a split population approach based on a convex hull formulation, and construct estimators with reduced biases. A doubly robust estimator can be constructed if a followup subsample of the reference probability survey with measurements on the study variable becomes feasible. Performances of six competing estimators are investigated through a simulation study and issues which require further investigation are briefly discussed.

Description: This article discusses and provides comments on the Ardilly, Haziza, Lavallée and Tillé’s summary presentation of Jean-Claude Deville’s work on survey theory. It sheds light on the context, applications and uses of his findings, and shows how these have become engrained in the role of statisticians, in which Jean-Claude was a trailblazer. It also discusses other aspects of his career and his creative inventions.

Description: In this discussion, I will present some additional aspects of three major areas of survey theory developed or studied by Jean-Claude Deville: calibration, balanced sampling and the generalized weight-share method.

Description: Sample surveys, as a tool for policy development and evaluation and for scientific, social and economic research, have been employed for over a century. In that time, they have primarily served as tools for collecting data for enumerative purposes. Estimation of these characteristics has been typically based on weighting and repeated sampling, or design-based, inference. However, sample data have also been used for modelling the unobservable processes that gave rise to the finite population data. This type of use has been termed analytic, and often involves integrating the sample data with data from secondary sources.

Alternative approaches to inference in these situations, drawing inspiration from mainstream statistical modelling, have been strongly promoted. The principal focus of these alternatives has been on allowing for informative sampling. Modern survey sampling, though, is more focussed on situations where the sample data are in fact part of a more complex set of data sources all carrying relevant information about the process of interest. When an efficient modelling method such as maximum likelihood is preferred, the issue becomes one of how it should be modified to account for both complex sampling designs and multiple data sources. Here application of the Missing Information Principle provides a clear way forward.

In this paper I review how this principle has been applied to resolve so-called “messy” data analysis issues in sampling. I also discuss a scenario that is a consequence of the rapid growth in auxiliary data sources for survey data analysis. This is where sampled records from one accessible source or register are linked to records from another less accessible source, with values of the response variable of interest drawn from this second source, and where a key output is small area estimates for the response variable for domains defined on the first source.

Description: The actual earnings of provincial nominees and their relative earnings (to those of other economic immigrants) are important indicators of the ability of the Provincial Nominee Program to meet provincial labour market needs. This article updates national-level research on the earnings patterns of provincial nominees and, for the first time, provides provincial comparisons.

Description: Racial minority business owners and entrepreneurs make invaluable contributions to the economy and communities across Canada and are essential. From the beginning of October to early November 2023, Statistics Canada conducted the Canadian Survey on Business Conditions (CSBC) to collect information on the environment businesses are currently operating in and their expectations moving forward. This article explores results from the survey by looking at the businesses majority-owned by racialized groups.

Description: This study uses data from the Canadian COVID-19 Antibody and Health Survey to describe the current COVID-19 landscape, including infection, reinfection, and acute and long-term symptoms. This study also examines how peoples’ experiences with the virus have evolved in the context of growing immunity, emerging variants, new treatments, and relaxation of public health measures.

Description: The gender pay gap is a longstanding issue that exists in various industries across Canada, including the agricultural sector. This article provides analysis on the gender pay gap among Canada’s farm operators over time and explores the gender pay gap in 2020 by geography, farm type, revenue class, level of education, field of study, racialized group and population centre.

Description: This article presents results from the Survey of Sexual Misconduct in the Canadian Armed Forces. Namely, the prevalence of general sexualized behaviour in the workplace; discrimination on the basis of sex, sexual orientation, or gender identity; personal experiences of discrimination or sexualized behaviour; the prevalence of sexual assault; and knowledge of policies on sexual misconduct and perceptions of responses to sexual misconduct are examined. Where possible, results are analyzed by gender, environmental command, type of service, age, and rank.

Description: Gender-based Analysis Plus (GBA Plus) is an analytical tool developed by Women and Gender Equality Canada (WAGE) to support the development of responsive and inclusive initiatives, including policies, programs, and other initiatives. This information sheet presents the usefulness of GBA Plus for disaggregating and analyzing data to identify the groups most affected by certain issues, such as overqualification.

Description: The infographic uses data from the integrated file of the Postsecondary Student Information System, the 2016 Census, the 2021 Census and the T1 Family File to compare the job quality of Indigenous graduates with a bachelor's degree with that of non-racialized and non-Indigenous graduates two years after graduation. Job quality indicators include employment income, unionization rate, and employer pension plan coverage rate.

Description: From April 2nd to May 6th, 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 infographic presents key results from this.

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

Description: This infographic examines the early child care experiences of children with long-term conditions or disabilities using data from the 2023 Survey on Early Learning and Child Care arrangements – Children with Long-term Conditions and Disabilities (SELCCA – CLCD). It explores the types of extra support needed while in child care, the common difficulties they experienced as well as the impacts on the parent or guardian having difficulty finding a child care arrangement.

Description: Using data from the 2023 Survey on Early Learning and Child Care arrangements – Children with Long-term Conditions and Disabilities (SELCCA – CLCD), this American Sign Language video examines the early child care experiences of children with long-term conditions or disabilities.

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: This infographic is a visual representation using some of the data from the 2023 Police Administration Survey. Findings reported on the infographic include results on key indicators such as police strength, number of police officers, number of calls for service and police personnel data.

Description: Using data from the 2021 Census of Population, this infographic examines the prevalence of low income among persons in one-parent families with an immigrant parent. This infographic explores the prevalence of low income among persons in one-parent families according to the parent’s admission category and racialized group, as well as the presence of young children in the family.

Description: This infographic examines Canadian exporters in 2021 that have been funded by the federal government through Business Innovation and Growth Support (BIGS) programs. Data is presented by program, countries of export, industry and comparison highlights.

Description: This study presents an updated sociodemographic profile of children aged 0 to 14 years with affirmative responses largely based on parent reports to the questions on the 2021 Census long-form questionnaire about difficulties with activities of daily living.

Description: Inspired by the two excellent discussions of our paper, we offer some new insights and developments into the problem of estimating participation probabilities for non-probability samples. First, we propose an improvement of the method of Chen, Li and Wu (2020), based on best linear unbiased estimation theory, that more efficiently leverages the available probability and non-probability sample data. We also develop a sample likelihood approach, similar in spirit to the method of Elliott (2009), that properly accounts for the overlap between both samples when it can be identified in at least one of the samples. We use best linear unbiased prediction theory to handle the scenario where the overlap is unknown. Interestingly, our two proposed approaches coincide in the case of unknown overlap. Then, we show that many existing methods can be obtained as a special case of a general unbiased estimating function. Finally, we conclude with some comments on nonparametric estimation of participation probabilities.

Description: Non-probability samples are being increasingly explored in National Statistical Offices as an alternative to probability samples. However, it is well known that the use of a non-probability sample alone may produce estimates with significant bias due to the unknown nature of the underlying selection mechanism. Bias reduction can be achieved by integrating data from the non-probability sample with data from a probability sample provided that both samples contain auxiliary variables in common. We focus on inverse probability weighting methods, which involve modelling the probability of participation in the non-probability sample. First, we consider the logistic model along with pseudo maximum likelihood estimation. We propose a variable selection procedure based on a modified Akaike Information Criterion (AIC) that properly accounts for the data structure and the probability sampling design. We also propose a simple rank-based method of forming homogeneous post-strata. Then, we extend the Classification and Regression Trees (CART) algorithm to this data integration scenario, while again properly accounting for the probability sampling design. A bootstrap variance estimator is proposed that reflects two sources of variability: the probability sampling design and the participation model. Our methods are illustrated using Statistics Canada’s crowdsourcing and survey data.

Description: Optimal oral health is an essential element of healthy aging. Oral health problems such as tooth loss, periodontal disease, and dry mouth accumulate throughout adult life and worsen with increasing age. Using data from the 2019/2020 Canadian Health Survey on Seniors, this study explores the link between dental insurance, income, and oral health care access among seniors (aged 65 and over) in Canada. It contributes to the understanding of oral health care among seniors before the implementation of the Canadian Dental Care Plan.

Description: The purpose of this document is to define the concept of peer groups, to give an overview of how they are created and to demonstrate their usefulness. This paper presents the 2023 classification of the peer groups.

Description: This study examines the economic footprint created by the Canadian research and development pharmaceutical sector on the Canadian economy in 2021, including a focus on the contribution of Innovative Medicines Canada’s members. While the impact of the sector’s medical research is well known, less known are the economic impacts of the sector on the Canadian economy, such as the value generated, the jobs supported and the investments made.

Description: Over the last several years, recreational screen time has been increasing. During the COVID-19 pandemic, recreational screen time rose among Canadian youth and adults, and those who increased screen time had poorer self-reported mental health. Using data from the 2017, 2018, and 2021 Canadian Community Health Survey, the objective of this study was to compare recreational screen time behaviours before (2018) and during (2021) the pandemic, looking at patterns by sociodemographic subgroups of the Canadian population.

Description: While many Canadians prefer to live in low-density housing, the supply of these units is linked to urban sprawl and attendant environmental and economic implications. This article examines recent trends of new housing supply and areas of urban sprawl in select Canadian cities. It also analyzes the characteristics of homeowners who live in neighbourhoods which have recently experienced urban sprawl.

Description: The Canadian Income Survey (CIS) has introduced improvements to the methods and data sources used to produce income and poverty estimates with the release of its 2022 reference year estimates. Foremost among these improvements is a significant increase in the sample size for a large subset of the CIS content. The weighting methodology was also improved and the target population of the CIS was changed from persons aged 16 years and over to persons aged 15 years and over. This paper describes the changes made and presents the approximate net result of these changes on the income estimates and data quality of the CIS using 2021 data. The changes described in this paper highlight the ways in which data quality has been improved while having little impact on key CIS estimates and trends.

Description: This Juristat article explores recent trends in police-reported sexual assault and other selected types of violent crime, following the implementation of changes to the Uniform Crime Reporting Survey in 2018. Analysis includes a focus on clearance status and victim, accused person and incident characteristics, comparing results from 2017 to the years that followed the changes.

Description:

The Ethnic Diversity Survey (EDS) was developed by Statistics Canada in partnership with the Department of Canadian Heritage in order to provide new and important information on the ethnic and cultural background of people in Canada and how it relates to their lives in Canada today.

The survey followed the 2001 Census with the census providing the frame for the sample. The target population for the survey was persons aged 15 years or older living in private households in the 10 provinces. The population did not include persons living in collective dwellings, persons living on Indian reserves, persons of Aboriginal origins living off-reserve, or persons living in Northern and remote areas. There was a separate post-censal survey designed for Aboriginal peoples, the Aboriginal Peoples Survey, which was conducted in 2001 and 2002.

Using the EDS data, this article examines Canada's ethno-cultural mosaic in 2002, providing a portrait of the different generations of Canadians who today make up this country. It also analyses the level of attachment that people in the different generations and ethnic groups have to their own ethno-cultural backgrounds and to the broader Canadian society.

Description:

The purpose of this paper is to use data from the General Social Survey of 1996 and 2002 to examine the topic of caregiving. This paper answers the following questions: Is a larger share of the senior population receiving care for long-term health problems? What are the characteristics of the seniors receiving formal and informal care? What are the characteristics of the informal care providers? What are the consequences of providing informal care to seniors?

Description:

The international Adult Literacy Survey of 1994 is an important source of information about the literacy levels of Canadians as well as the factors that can explain the disparities between certain sub-populations. The current study shows and tries to explain some of the disparities between Francophones and Anglophones in Canada.

Description:

Heart disease and stroke are major causes of illness, disability and death in Canada and they exact high personal, community and health care costs. The goal of The changing face of heart disease and stroke in Canada, the fifth in a series of reports from the Canadian Heart and Stroke Surveillance System (CHSSS), is to provide health professionals and policy makers with an overview of current trends in risk factors, interventions and services, and health outcomes of heart disease and stroke in Canada.

Description:

This study was initiated to test the validity of probabilistic linkage methods used at Statistics Canada. It compared the results of data linkages on infant deaths in Canada with infant death data from Nova Scotia and Alberta. It also compared the availability of fetal deaths on the national and provincial files.

Description:

The contributors to this book examine two broad themes related to the well-being of Canadian youth. First, they document the nature of the labour market facing young adults and how it has changed since the early 1970s. Second, the authors examine how families, communities, and the public sector influence some of the ways in which children become successful and self-reliant adults. The motivation for bringing these essays together has to do with the increasing importance of child well-being in public discourse and the development of public policy. The major message to emerge is that the future of Canada's children is both a good news, and a bad news story. Labour markets have changed dramatically, and on average it is now more difficult to obtain a strong foothold that will lead to increasing prosperity. Many young Canadians, however, are well prepared by their family and community backgrounds to deal with these new challenges, and as young parents are in a position to pass this heritage on to their children. However, this has not been the case for an increasingly larger minority, a group whose children in turn may face greater than average challenges in getting ahead in life. A companion volume published in February of 1998 by Statistics Canada called Government finances and generational equity examines the operation of government taxes and transfers from a generational perspective, focusing on the conduct of fiscal policy and the relative status of individuals in successive generations.

Description:

"Generational equity" is a topic that has gradually risen higher and higher on the agenda of governments at all levels. In fact, it is a matter not just for government policy, but a topic that touches many Canadians directly: young and old, parents and grandparents. Canadian policy makers increasingly have to deal with issues associated with the relative status of individuals between successive generations. The reform of public pension programs presents the most obvious example, but there are many other developments that raise the same type of issue. Indeed, the heightened concern over government fiscal policies is due in large part to the readiness of many to view government deficits and debt as a burden on future generations. Generational equity, however, is also a concern of individual Canadians and their families. The allocation of resources between the young and the old within the family is becoming an increasingly important issue for many, especially in light not only of an aging population but also the belief that those just entering the labour force will likely not attain the standard of living to which their parents have become accustomed.

The contributors to this book examine the operation of government taxes and expenditures from a generational perspective. In part the motivation for bringing these essays together is to offer comprehensive and up-to-date information on the age incidence of government finances. This motivation, however, also has to do with the development of a new accounting framework, Generational Accounting, that has gained some currency in many industrialized countries, particularly in the United States. It is a truism to say that good analysis requires good data, and certainly Statistic Canada's central role is to offer high-quality data in support of analysis and decision making. But the opposite is equally true, if not as obvious: good data requires good analysis. That is to say, new analytical frameworks often highlight the need to organize existing data in different ways, as well as the need for the development of new types of data. This is certainly one of several reasons that Statistics Canada has sought to develop a strong analytical capacity, and to maintain strong ties with the research community. This book is meant to contribute to this process by examining Canadian data through the lens of Generational Accounting, and by analyzing some of the issues that arise.