Analysis

Description:

This paper provides key indicators of connectedness for Canada's elementary and secondary schools using data from the Information and Communications Technologies in Schools Survey.

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This paper traces recent trends in the geographic distribution of Canada's imports of goods. It reviews the continental distribution of imports by commodity grouping. Imports of individual countries are analysed further.

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This document presents the results of the Pension Plans in Canada Survey as of January 1, 2003. It gives a brief overview of changes over time in the participation of men and women in registered pension plans, the coverage of the labour force by these plans, membership in defined benefit and defined contribution plans, and total contributions paid into these plans. The document also briefly describes retirement compensation arrangements with an analysis covering the period 1991 to 2001.

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This paper examines the problems new immigrants have when looking for a job in Canada, including non-recognition of their credentials, their education level, and their experience abroad.

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This paper examines the effects of changes in consumer spending and asset holdings over the last 20 years on the economic landscape.

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This study looks at the decision of parents to save, and amounts saved, for the future education of children aged under 19 years in 2002. A model is used to estimate cumulative parental savings, taking into consideration characteristics of the family and the child, aspirations and involvement of parents, awareness of saving incentive programs, and expectations about grant programs.

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This article examines housing costs within the context of income and assets, focusing on elderly homeowners but including younger families and renters for comparison. The low-income dimension is also explored.

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This article discusses recent trends in the union movement, including numbers of members, the proportion of women, the transition from goods-producing to service industries, the shift in share from private- to public-sector unions, and in-roads among part-time workers and in smaller workplaces.

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This paper examines the determinants of innovation and the role of innovation in productivity growth, shifts in market share and survival in the Canadian manufacturing sector. It presents a model that examines the effect of innovation on plant performance and plant survival.

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This research paper explores the spatial distribution of crime and various social, economic and physical neighbourhood characteristics in Winnipeg. Analysis is based on police-reported crime data from the 2001 Incident-based Uniform Crime Reporting Survey, the 2001 Census of Population, and City of Winnipeg land-use data.

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

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

Description: Using data from the Postsecondary Student Information System (PSIS) and the Census of Population, 2021, this infographic provides information on enrolment in Canadian public postsecondary institutions for transgender and non-binary people.

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: 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 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: We provide comparisons among three parametric methods for the estimation of participation probabilities and some brief comments on homogeneous groups and post-stratification.

Description: Beaumont, Bosa, Brennan, Charlebois and Chu (2024) propose innovative model selection approaches for estimation of participation probabilities for non-probability sample units. We focus our discussion on the choice of a likelihood and parameterization of the model, which are key for the effectiveness of the techniques developed in the paper. We consider alternative likelihood and pseudo-likelihood based methods for estimation of participation probabilities and present simulations implementing and comparing the AIC based variable selection. We demonstrate that, under important practical scenarios, the approach based on a likelihood formulated over the observed pooled non-probability and probability samples performed better than the pseudo-likelihood based alternatives. The contrast in sensitivity of the AIC criteria is especially large for small probability sample sizes and low overlap in covariates domains.

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: In this rejoinder, I address the comments from the discussants, Dr. Takumi Saegusa, Dr. Jae-Kwang Kim and Ms. Yonghyun Kwon. Dr. Saegusa’s comments about the differences between the conditional exchangeability (CE) assumption for causal inferences versus the CE assumption for finite population inferences using nonprobability samples, and the distinction between design-based versus model-based approaches for finite population inference using nonprobability samples, are elaborated and clarified in the context of my paper. Subsequently, I respond to Dr. Kim and Ms. Kwon’s comprehensive framework for categorizing existing approaches for estimating propensity scores (PS) into conditional and unconditional approaches. I expand their simulation studies to vary the sampling weights, allow for misspecified PS models, and include an additional estimator, i.e., scaled adjusted logistic propensity estimator (Wang, Valliant and Li (2021), denoted by sWBS). In my simulations, it is observed that the sWBS estimator consistently outperforms or is comparable to the other estimators under the misspecified PS model. The sWBS, as well as WBS or ABS described in my paper, do not assume that the overlapped units in both the nonprobability and probability reference samples are negligible, nor do they require the identification of overlap units as needed by the estimators proposed by Dr. Kim and Ms. Kwon.

Description: In some of non-probability sample literature, the conditional exchangeability assumption is considered to be necessary for valid statistical inference. This assumption is rooted in causal inference though its potential outcome framework differs greatly from that of non-probability samples. We describe similarities and differences of two frameworks and discuss issues to consider when adopting the conditional exchangeability assumption in non-probability sample setups. We also discuss the role of finite population inference in different approaches of propensity scores and outcome regression modeling to non-probability samples.

Description: Pseudo weight construction for data integration can be understood in the two-phase sampling framework. Using the two-phase sampling framework, we discuss two approaches to the estimation of propensity scores and develop a new way to construct the propensity score function for data integration using the conditional maximum likelihood method. Results from a limited simulation study are also presented.

Description: Nonprobability samples emerge rapidly to address time-sensitive priority topics in different areas. These data are timely but subject to selection bias. To reduce selection bias, there has been wide literature in survey research investigating the use of propensity-score (PS) adjustment methods to improve the population representativeness of nonprobability samples, using probability-based survey samples as external references. Conditional exchangeability (CE) assumption is one of the key assumptions required by PS-based adjustment methods. In this paper, I first explore the validity of the CE assumption conditional on various balancing score estimates that are used in existing PS-based adjustment methods. An adaptive balancing score is proposed for unbiased estimation of population means. The population mean estimators under the three CE assumptions are evaluated via Monte Carlo simulation studies and illustrated using the NIH SARS-CoV-2 seroprevalence study to estimate the proportion of U.S. adults with COVID-19 antibodies from April 01-August 04, 2020.

Description: Our comments respond to discussion from Sen, Brick, and Elliott. We weigh the potential upside and downside of Sen’s suggestion of using machine learning to identify bogus respondents through interactions and improbable combinations of variables. We join Brick in reflecting on bogus respondents’ impact on the state of commercial nonprobability surveys. Finally, we consider Elliott’s discussion of solutions to the challenge raised in our study.

Description:

The Economic Analysis Research Paper Series provides the circulation of research conducted by the staff of National Accounts and Analytical Studies, visiting fellows and academic associates. The research paper series is meant to stimulate discussion on a range of topics including the impact of the new economy; productivity issues; firm profitability; technology usage; the effect of financing on firm growth; depreciation functions; the use of satellite accounts; savings rates; leasing; firm dynamics; hedonic estimations; diversification patterns; investment patterns; the differences in the performance of small and large, or domestic and multinational firms; and purchasing power parity estimates. Readers of the series are encouraged to contact the authors with comments, criticisms and suggestions.

The primary distribution medium for the papers is the Internet. These papers can be downloaded from the Internet at www.statcan.gc.ca for free. Papers in the series are distributed to Statistics Canada Regional Offices and provincial statistical focal points.

All papers in the Economic Analysis Series go through institutional and peer review to ensure that they conform to Statistics Canada's mandate as a government statistical agency and adhere to generally accepted standards of good professional practice.

The papers in the series often include results derived from multivariate analysis or other statistical techniques. It should be recognized that the results of these analyses are subject to uncertainty in the reported estimates.

The level of uncertainty will depend on several factors: the nature of the functional form used in the multivariate analysis; the type of econometric technique employed; the appropriateness of the statistical assumptions embedded in the model or technique; the comprehensiveness of the variables included in the analysis; and the accuracy of the data that are utilized. The peer group review process is meant to ensure that the papers in the series have followed accepted standards to minimize problems in each of these areas.

Description:

This topic presents data on the income of individuals, families, and households of Canada for the year 2010, including the composition of income, earnings and low-income prevalence data. The data also include the family and household incomes of Canadians by characteristics, family structure, household type and geography, as well as the total income and earnings levels of certain population groups (e.g., immigrants). The composition of income includes market income and income from government sources, and presents detailed components.

This topic also presents data on dwelling characteristics, including number of rooms and bedrooms, condition of dwelling, period of construction, condominium status, value of dwelling, and structural type of dwelling. Data on households are also presented, including household maintainer, housing tenure, housing subsidy, housing suitability and shelter costs.

Analytical products

Two analytical documents provide analysis on the key findings in the data, and are complemented with the short articles found in NHS in Brief and the data in the NHS Focus on Geography Series.

Data products

The NHS Profile is one data product that provides a statistical overview of user selected geographic areas based on several detailed variables and/or groups of variables. Other data products include data tables which represent a series of cross tabulations ranging in complexity and are available for various levels of geography.

Description:

This on-line report summarizes research and development (R&D) activities performed and funded by Canadian business enterprises and industrial research institutes and associations. The data are used, for instance, to plan and evaluate R&D tax incentive programs, to provide indicators of the state of industrial innovation and to complement national aggregates for scientific R&D expenditures and personnel. Among the topics covered are current and capital expenditures on research and development, energy R&D expenditures by area of technology, R&D expenditures as a percentage of company revenues, sources of funds for intramural R&D, personnel engaged in R&D, and foreign payments made and received for technological services. Most historical tables are presented for the latest five years and disaggregated by 46 industrial groupings, size of R&D program, employment size, revenue size, country of control, and by province.

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This paper surveys the history of Statistics Canada's Consumer Price Index (CPI) from its origins to today. It discusses changes in the construction, scope and uses of the CPI within the context of historical events.

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This reference publication on productivity in Canada shows how productivity trends affect Canadian living standards and measures the relative productivity performance of Canada and other countries. Its articles cover productivity and related issues, and it illuminates the sources underlying economic growth in Canada.

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The Canadian Income Survey (CIS) is a cross-sectional survey developed to assess the economic well-being of individuals and families in Canada. It provides a portrait of the income and income sources of Canadians, with their individual and household characteristics.

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Many of the 60 or so Aboriginal languages in Canada are considered endangered to varying degrees for their long-term survival. Assessing language vitality or endangerment through the measurement of various factors can provide useful information to help ensure the continuity of a language. This paper illustrates how the 2011 Census of Population and the 2011 National Household Survey (NHS) can be used to measure some of the factors that provide information related to the vitality of Aboriginal languages.

Description:

Canadian Demographics at a glance is designed to gather a maximum of demographic information in a single document, giving users an easily and quickly accessible up-to-date picture of the Canadian population. It presents data on demographic growth, fertility, mortality, migratory movements, aging and ethno-cultural diversity of the population in the form of tables and graphs accompanied by a brief analytical commentary.

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This report provides statistical information of the federal government's activities in science and technology. It covers expenditures and person-years by type of science, performing sectors, provinces and federal departments and agencies. Technical notes, definitions, bibliography and subject index are included.

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This publication presents capital and repair expenditures on construction and on machinery and equipment for divisions and industries at the Canada level and by division at the provincial level. The report also provides the split between private and public investment. The tabulations focus on capital spending intentions for the coming year, preliminary estimates of actual investment for the current year and the actual investment for the previous year. The investment data are gathered from about 25,000 establishments and establishment groups in Canadian businesses, institutions and governments.