Analysis

Description:

This multivariate statistical analysis, which captures the number of prior police contacts of young people apprehended by the police, uses longitudinally linked records from the Incident-Based Uniform Crime Reporting Survey for 1995 to 2001.

Description:

Linearization (or Taylor series) methods are widely used to estimate standard errors for the co-efficients of linear regression models fit to multi-stage samples. When the number of primary sampling units (PSUs) is large, linearization can produce accurate standard errors under quite general conditions. However, when the number of PSUs is small or a co-efficient depends primarily on data from a small number of PSUs, linearization estimators can have large negative bias.

In this paper, we characterize features of the design matrix that produce large bias in linearization standard errors for linear regression co-efficients. We then propose a new method, bias reduced linearization (BRL), based on residuals adjusted to better approximate the covariance of the true errors. When the errors are independent and identically distributed (i.i.d.), the BRL estimator is unbiased for the variance. Furthermore, a simulation study shows that BRL can greatly reduce the bias, even if the errors are not i.i.d. We also propose using a Satterthwaite approximation to determine the degrees of freedom of the reference distribution for tests and confidence intervals about linear combinations of co-efficients based on the BRL estimator. We demonstrate that the jackknife estimator also tends to be biased in situations where linearization is biased. However, the jackknife's bias tends to be positive. Our bias-reduced linearization estimator can be viewed as a compromise between the traditional linearization and jackknife estimators.

Description:

In this paper, we discuss the analysis of complex health survey data by using multivariate modelling techniques. Main interests are in various design-based and model-based methods that aim at accounting for the design complexities, including clustering, stratification and weighting. Methods covered include generalized linear modelling based on pseudo-likelihood and generalized estimating equations, linear mixed models estimated by restricted maximum likelihood, and hierarchical Bayes techniques using Markov Chain Monte Carlo (MCMC) methods. The methods will be compared empirically, using data from an extensive health interview and examination survey conducted in Finland in 2000 (Health 2000 Study).

The data of the Health 2000 Study were collected using personal interviews, questionnaires and clinical examinations. A stratified two-stage cluster sampling design was used in the survey. The sampling design involved positive intra-cluster correlation for many study variables. For a closer investigation, we selected a small number of study variables from the health interview and health examination phases. In many cases, the different methods produced similar numerical results and supported similar statistical conclusions. Methods that failed to account for the design complexities sometimes led to conflicting conclusions. We also discuss the application of the methods in this paper by using standard statistical software products.

Description:

In this paper, we consider the effect of the interval censoring of cessation time on intensity parameter estimation with regard to smoking cessation and pregnancy. The three waves of the National Population Health Survey allow the methodology of event history analysis to be applied to smoking initiation, cessation and relapse. One issue of interest is the relationship between smoking cessation and pregnancy. If a longitudinal respondent who is a smoker at the first cycle ceases smoking by the second cycle, we know the cessation time to within an interval of length at most a year, since the respondent is asked for the age at which she stopped smoking, and her date of birth is known. We also know whether she is pregnant at the time of the second cycle, and whether she has given birth since the time of the first cycle. For many such subjects, we know the date of conception to within a relatively small interval. If we knew the time of smoking cessation and pregnancy period exactly for each member who experienced one or other of these events between cycles, we could model their temporal relationship through their joint intensities.

Description:

This paper explores the relationship between low income and prevalence of asthma. The genetic and environmental determinants are incompletely understood. It has been observed in a previous study that Canadians with low incomes are at increased risk of asthma. Based on data from 17,605 subjects 12 years of age or older who participated in the first cycle of the National Population Health Survey (NPHS) from 1994 to 1995, males and females with low incomes had 1.44- and 1.33-fold increases, respectively, in the prevalence of asthma compared with their counterparts with high incomes. However, there was no significant difference observed between middle and high income categories. Therefore, it is not clear if there is a more systematic relationship between income adequacy and asthma occurrence. A much larger sample size of the second cycle of the NPHS allowed us to further explore if the prevalence of asthma increases with decreasing income adequacy among Canadians.

Description:

In this highly technical paper, we illustrate the application of the delete-a-group jack-knife variance estimator approach to a particular complex multi-wave longitudinal study, demonstrating its utility for linear regression and other analytic models. The delete-a-group jack-knife variance estimator is proving a very useful tool for measuring variances under complex sampling designs. This technique divides the first-phase sample into mutually exclusive and nearly equal variance groups, deletes one group at a time to create a set of replicates and makes analogous weighting adjustments in each replicate to those done for the sample as a whole. Variance estimation proceeds in the standard (unstratified) jack-knife fashion.

Our application is to the Chicago Health and Aging Project (CHAP), a community-based longitudinal study examining risk factors for chronic health problems of older adults. A major aim of the study is the investigation of risk factors for incident Alzheimer's disease. The current design of CHAP has two components: (1) Every three years, all surviving members of the cohort are interviewed on a variety of health-related topics. These interviews include cognitive and physical function measures. (2) At each of these waves of data collection, a stratified Poisson sample is drawn from among the respondents to the full population interview for detailed clinical evaluation and neuropsychological testing. To investigate risk factors for incident disease, a 'disease-free' cohort is identified at the preceding time point and forms one major stratum in the sampling frame.

We provide proofs of the theoretical applicability of the delete-a-group jack-knife for particular estimators under this Poisson design, paying needed attention to the distinction between finite-population and infinite-population (model) inference. In addition, we examine the issue of determining the 'right number' of variance groups.

Description:

This paper will describe the multiple imputation of income in the National Health Interview Survey and discuss the methodological issues involved. In addition, the paper will present empirical summaries of the imputations as well as results of a Monte Carlo evaluation of inferences based on multiply imputed income items.

Analysts of health data are often interested in studying relationships between income and health. The National Health Interview Survey, conducted by the National Center for Health Statistics of the U.S. Centers for Disease Control and Prevention, provides a rich source of data for studying such relationships. However, the nonresponse rates on two key income items, an individual's earned income and a family's total income, are over 20%. Moreover, these nonresponse rates appear to be increasing over time. A project is currently underway to multiply impute individual earnings and family income along with some other covariates for the National Health Interview Survey in 1997 and subsequent years.

There are many challenges in developing appropriate multiple imputations for such large-scale surveys. First, there are many variables of different types, with different skip patterns and logical relationships. Second, it is not known what types of associations will be investigated by the analysts of multiply imputed data. Finally, some variables, such as family income, are collected at the family level and others, such as earned income, are collected at the individual level. To make the imputations for both the family- and individual-level variables conditional on as many predictors as possible, and to simplify modelling, we are using a modified version of the sequential regression imputation method described in Raghunathan et al. ( Survey Methodology, 2001).

Besides issues related to the hierarchical nature of the imputations just described, there are other methodological issues of interest such as the use of transformations of the income variables, the imposition of restrictions on the values of variables, the general validity of sequential regression imputation and, even more generally, the validity of multiple-imputation inferences for surveys with complex sample designs.

Description:

Missing data are a constant problem in large-scale surveys. Such incompleteness is usually dealt with either by restricting the analysis to the cases with complete records or by imputing, for each missing item, an efficiently estimated value. The deficiencies of these approaches will be discussed in this paper, especially in the context of estimating a large number of quantities. The main part of the paper will describe two examples of analyses using multiple imputation.

In the first, the International Labour Organization (ILO) employment status is imputed in the British Labour Force Survey by a Bayesian bootstrap method. It is an adaptation of the hot-deck method, which seeks to fully exploit the auxiliary information. Important auxiliary information is given by the previous ILO status, when available, and the standard demographic variables.

Missing data can be interpreted more generally, as in the framework of the expectation maximization (EM) algorithm. The second example is from the Scottish House Condition Survey, and its focus is on the inconsistency of the surveyors. The surveyors assess the sampled dwelling units on a large number of elements or features of the dwelling, such as internal walls, roof and plumbing, that are scored and converted to a summarizing 'comprehensive repair cost.' The level of inconsistency is estimated from the discrepancies between the pairs of assessments of doubly surveyed dwellings. The principal research questions concern the amount of information that is lost as a result of the inconsistency and whether the naive estimators that ignore the inconsistency are unbiased. The problem is solved by multiple imputation, generating plausible scores for all the dwellings in the survey.

Description:

In the United States, the National Health and Nutrition Examination Survey (NHANES) is linked to the National Health Interview Survey (NHIS) at the primary sampling unit level (the same counties, but not necessarily the same persons, are in both surveys). The NHANES examines about 5,000 persons per year, while the NHIS samples about 100,000 persons per year. In this paper, we present and develop properties of models that allow NHIS and administrative data to be used as auxiliary information for estimating quantities of interest in the NHANES. The methodology, related to Fay-Herriot (1979) small-area models and to calibration estimators in Deville and Sarndal (1992), accounts for the survey designs in the error structure.

Description:

Cancer surveillance research requires accurate estimates of risk factors at the small area level. These risk factors are often obtained from surveys such as the National Health Interview Survey (NHIS) or the Behavioral Risk Factors Surveillance Survey (BRFSS). Unfortunately, no one population-based survey provides ideal prevalence estimates of such risk factors. One strategy is to combine information from multiple surveys, using the complementary strengths of one survey to compensate for the weakness of the other. The NHIS is a nationally representative, face-to-face survey with a high response rate; however, it cannot produce state or substate estimates of risk factor prevalence because sample sizes are too small. The BRFSS is a state-level telephone survey that excludes non-telephone households and has a lower response rate, but does provide reasonable sample sizes in all states and many counties. Several methods are available for constructing small-area estimators that combine information from both the NHIS and the BRFSS, including direct estimators, estimators under hierarchical Bayes models and model-assisted estimators. In this paper, we focus on the latter, constructing generalized regression (GREG) and 'minimum-distance' estimators and using existing and newly developed small-area smoothing techniques to smooth the resulting estimators.

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: Key statistics about crime in Canada are presented in this infographic. Findings on changes to the Crime Severity Index (CSI) at the national and provincial, territorial levels are presented. Also included are the categories of crime which were reported in 2023.

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 presentation explores linkages between innovation, technology adoption and productivity. It highlights recent estimates of labour and multifactor productivity growth, drawing on recent surveys that can be used to profile the innovation and technological stance of Canadian businesses. It is intended to support ongoing research on the competitiveness of Canada’s economy.

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 study compares the Government of Canada’s direct and indirect measures to support R&D, as captured by business innovation and growth support (BIGS) programs and the Scientific Research and Experimental Development (SR&ED) tax incentive program. BIGS and SR&ED are two central instruments that the Canadian government uses to stimulate R&D expenditures in the business sector.

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: The availability of measures to operationalize allostatic load—the cumulative toll on the body of responding to stressor demands—in population health surveys may differ across years or surveys, hampering analyses on the entire sampled population. In this study, the impacts of variable selection and calculation method were evaluated to generate an allostatic load index applicable across all cycles of the Canadian Health Measures Survey (CHMS). CHMS data were used to compare individual and population-level changes in scores for allostatic load indexes in which other commonly used measures were substituted for waist-to-hip ratio. Associations between the various constructs and indicators of socioeconomic position were then assessed to evaluate whether relationships were maintained across indexes.

Description: This series of regional maps shows the number of school-aged children eligible to primary and secondary instruction in English in Quebec by census subdivision, and the proportion of these children who attend or have attended an English-language school in Canada. All the information provided comes from the 2021 Census of Population and the 2022 Open Database of Educational Facilities.

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: This study used Postsecondary Student Information System (PSIS) administrative data within the Education and Labour Market Longitudinal Platform to compare enrolment and persistence in postsecondary education (PSE) among high school graduates in British Columbia with and without special needs across five cohorts from 2010/2011 to 2014/2015 before and after controlling for several sociodemographic characteristics and academic achievement.

Description: This analysis compares the investment efforts of official language minority (OLM) owned businesses depending on whether they are located in a rural or urban area. The study is based on a model that uses a seemingly unrelated regression equation (SURE) system estimator to simultaneously assess the impact of determinants that explain the investment of businesses in rural and urban areas and to statistically test the differences between the two areas.

Description: This article examines the association between parents' housing wealth and the values of houses owned by their adult children. It also documents parent and child co-ownership arrangements. The article follows a previous article that examined the role that parents' property ownership played in the likelihood of homeownership for children born in the 1990s. These articles use residential property and ownership information from the Canadian Housing Statistics Program for the 2021 reference year for all provinces and territories, except Quebec and Saskatchewan.

Description: This article uses 12 months of data from the Labour Force Survey (LFS) and LFS supplement for 2022, and the 2016 General Social Survey on Canadians at Work and Home to explore several quality of employment indicators based on Statistics Canada's Statistical Framework on Quality of Employment among the core working age First Nations people living off reserve and Métis (18 to 64 years), in the 10 provinces.

Description: This thematic series groups different statistical products related to Indigenous peoples. It features analytical documents of varying scopes, such as population profiles, reference materials, data products (including tables and factsheets), among other document types.

Description:

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.

Description:

The Programme for the International Assessment of Adult Competencies (PIAAC), an initiative of OECD, provides internationally comparable measures of three skills that are essential to processing information: literacy, numeracy, and problem-solving in technology-rich environments (referred to as PS-TRE). Canada is one of 24 countries and sub-national regions participating in this initiative. This study aims to provide a picture of the competencies of the Canadian population aged 16 to 65 in all three skill domains.

Description:

The Aboriginal Peoples Survey is a national survey of Aboriginal peoples (First Nations people living off-reserve, Métis and Inuit) living in urban, rural and northern locations throughout Canada. The survey provides valuable data on the social and economic conditions of Aboriginal children and youth (6-14 years) and Aboriginal people (15 years and over). It was conducted previously in 1991 and in 2001. The survey was designed and implemented in partnership with national Aboriginal organizations. The purpose of the Aboriginal Peoples Survey was to provide data on the social and economic conditions of Aboriginal people in Canada. More specifically, its purpose was to identify the needs of Aboriginal people and focus on issues such as health, language, employment, income, schooling, housing, and mobility. More detailed information about the survey is available in the APS 2006 Concepts and Methods Guide.

Description:

Statistics Canada periodically conducts the Household and the Environment Survey to measure household actions that have, or are perceived to have, positive or negative impacts on the environment. The survey provides baseline information to use in measuring progress towards sound environmental practices at the household level. The subjects examined include consumption and conservation of energy, consumption and conservation of water, indoor environment, use of pesticides and fertilizers, outdoor air quality and consumer decisions.

Description:

Presented in almanac style, the 2012 Canada Year Book contains more than 500 pages of tables, charts and succinct analytical articles on every major area of Statistics Canada's expertise. The Canada Year Book is the premier reference on the social and economic life of Canada and its citizens.

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This article presents employment and unemployment rates, and some information regarding salaries and industrial sectors of employees, for official-language minorities. These data are based on the Labour Force Survey and enable comparisons between official-language minority and majority according to their situation in the labour market for provinces or groups of provinces.

Description:

This series, which consists of about six issues per year, presents a variety of science and technology statistics. Each issue concerns a different topic, for example: research and development expenditures and personnel in business enterprises, science and technology expenditures and personnel in the federal government or provincial governments; and estimates of higher education expenditures on research and development.

Description:

This publication presents Canada's transactions with non-residents on a quarterly basis. These transactions are grouped under two main accounts: the current account which includes goods, services, investment income and current transfers; and the capital and financial account which includes information on a country's investing and financing activities. The transactions are further broken down by major geographical region: United States, United Kingdom, other countries of the European Union, Japan, other countries of the Organization for Economic Co-operation and Development, and all other countries. The data are presented quarterly and annually for the six most recent years.

Each publication includes several pages of data analysis accompanied by graphics, definitions, CANSIM data bank numbers, data quality measures and a list of occasional articles and research papers. The first quarter issue includes revisions to quarterly and annual data for the most recent four years. Statistics are derived from surveys, administrative data and other sources.

Description: This publication brings together and analyzes a wide range of labour and income data. Topics include youth in the labour market, pensions and retirement, work arrangements, education and training, and trends in family income. One section highlights new products, surveys, research projects and conferences. Another section uses charts and text to describe a variety of subjects related to labour and income. Each winter print issue contains an index of all published articles.

To find the latest updates on labour market and household issues such as gambling, minimum wage, retirement and unionization, please visit: Topics of interest on labour and income.

Description:

This publication discusses the social, economic, and demographic changes affecting the lives of Canadians.

Free downloadable PDF and HTML files: Published every six weeks Printed issue: Published every six months (twice per year)