Analysis

Description:

Following each decennial population census, the Canadian Labour Force Survey (CLFS) has undergone a sample redesign to reflect changes in population characteristics and to respond to changes in information needs. The current redesign program which culminated with introduction of a new sample at the beginning of 1985 included extensive research into improved sample design, data collection and estimation methodologies, highlights of which are described.

Description:

Goodness of fit tests, tests for independence in a two-way contingency table, log-linear models and logistic regression models are investigated in the context of samples which are obtained from complex survey designs. Suggested approximations to the null distributions are reviewed and some examples from the Canada Health Survey and Canadian Labour Force Survey are given. Software implementation for using these methods is briefly discussed.

Description:

This paper presents a moving average which estimates the trend-cycle while eliminating seasonality from semi-annual series (observed twice yearly). The proposed average retains the power of all cycles which last three years or more; 90% of those of two years; and 55% of cycles of one year and a half. By comparison, the two by two moving average retains the power of respectively 75%, 50% and 25% of the same cycles.

Description:

This paper discusses the use of matching between files of comparable data in the evaluation of non-sampling error. As an example of the technique, the data quality evaluation of the 1981 Canadian Census of Agriculture is described and some results presented.

Description:

A finite population of size N is supposed to contain M (unknown) units of a specified category A (say) constituting a domain with mean \mu. A procedure which involves drawing units using simple random sampling without replacement till a preassigned number of members of the domain is reached is proposed. An unbiased estimator of \mu is also derived. This is seen to be superior to the corresponding possibly biased estimator based on a comparable SRSWOR scheme with a fixed number of draws. The proposed scheme is also shown to admit unbiased estimators of M and the domain total T.

Description:

In response to a need for data on disabled persons in Canada, Statistics Canada undertook a program to create a disability database. This includes using supplements to the Canadian Labour Force Survey in the Fall of 1983 and the Spring of 1984, as well as including questions on the 1986 Census of Population. A general discussion of the background and content of the survey is presented. A comparison of screening methodologies conducted by Statistics Canada in November 1982 and January 1983 is presented and the results are compared.

Description:

This presentation describes the important and urgent task of providing useful expressions for analytical statistics for complex sample designs. The following topics are discussed: effects of complex designs, sampling error for analytical statistics, subclasses involved in analytical statistics, comparisons of paired means, computation of analytical statistics and categorical data analysis.

Description:

Univariate statistical models, linear regression models and generalized linear models are briefly reviewed. Examples of a two-way analysis of variance, a three-way analysis of variance and logistic regression for a three way layout are given.

Description:

This paper proposes a modification to the method of Denton (1971) for adjusting sub-annual series to yearly totals. These totals originate from more reliable sources and constitute annual benchmarks. The benchmarked series derived according to the modified method is more parallel to the unbenchmarked series than this is the case with the original method. An additive and a proportional variant of the method are presented. These can easily be adapted for flow, stock and index series. Also presented are a few recommendations about the preliminary benchmarking of current data and the management of “historical” estimates of the series.

Description:

Using data from the Family Expenditures Surveys over time, consumer expenditures on in-home and transportation energy from 1969 to 1982 are being studied. This article briefly summarizes some of the procedures being used to explore the data, summarize it and develop insights into shifts in consumption for policy implications purposes. With such a complex data set and such a complex, multi-faceted subject for analysis some effort must be made to reduce information flows and at the same time increase the information content of each factor of both input and output in the analyses.

Description: This video is part of a series that is designed to give you a basic understanding of the Census of Population web pages. This video will provide an overview of the major links and products on the main page that are available to all users.

Description: This video is part of a series that is designed to give you a basic understanding of the Census of Population web pages. The purpose of this video is to explain where to find the most popular standard data product of the Census of Population, the 2021 Census Profile, and how to filter the data.

Description: This video is part of a series that is designed to give you a basic understanding of the Census of Population web pages. The purpose of this video is to explain how to add geographies in the 2021 Census Profile and to present the various downloading options to see the 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: 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 paper discusses the use of matching between files of comparable data in the evaluation of non-sampling error. As an example of the technique, the data quality evaluation of the 1981 Canadian Census of Agriculture is described and some results presented.

Description:

A finite population of size N is supposed to contain M (unknown) units of a specified category A (say) constituting a domain with mean \mu. A procedure which involves drawing units using simple random sampling without replacement till a preassigned number of members of the domain is reached is proposed. An unbiased estimator of \mu is also derived. This is seen to be superior to the corresponding possibly biased estimator based on a comparable SRSWOR scheme with a fixed number of draws. The proposed scheme is also shown to admit unbiased estimators of M and the domain total T.

Description:

In response to a need for data on disabled persons in Canada, Statistics Canada undertook a program to create a disability database. This includes using supplements to the Canadian Labour Force Survey in the Fall of 1983 and the Spring of 1984, as well as including questions on the 1986 Census of Population. A general discussion of the background and content of the survey is presented. A comparison of screening methodologies conducted by Statistics Canada in November 1982 and January 1983 is presented and the results are compared.

Description:

This presentation describes the important and urgent task of providing useful expressions for analytical statistics for complex sample designs. The following topics are discussed: effects of complex designs, sampling error for analytical statistics, subclasses involved in analytical statistics, comparisons of paired means, computation of analytical statistics and categorical data analysis.

Description:

Univariate statistical models, linear regression models and generalized linear models are briefly reviewed. Examples of a two-way analysis of variance, a three-way analysis of variance and logistic regression for a three way layout are given.

Description:

This paper proposes a modification to the method of Denton (1971) for adjusting sub-annual series to yearly totals. These totals originate from more reliable sources and constitute annual benchmarks. The benchmarked series derived according to the modified method is more parallel to the unbenchmarked series than this is the case with the original method. An additive and a proportional variant of the method are presented. These can easily be adapted for flow, stock and index series. Also presented are a few recommendations about the preliminary benchmarking of current data and the management of “historical” estimates of the series.

Description:

Using data from the Family Expenditures Surveys over time, consumer expenditures on in-home and transportation energy from 1969 to 1982 are being studied. This article briefly summarizes some of the procedures being used to explore the data, summarize it and develop insights into shifts in consumption for policy implications purposes. With such a complex data set and such a complex, multi-faceted subject for analysis some effort must be made to reduce information flows and at the same time increase the information content of each factor of both input and output in the analyses.

Description:

Standard chisquared (X^2) or likelihood ratio (G^2) tests for logistic regression analysis, involving a binary response variable, are adjusted to take account of the survey design. The adjustments are based on certain generalized design effects. The adjusted statistics are utilized to analyse some data from the October 1980 Canadian Labour Force Survey (LFS). The Wald statistic, which also takes the survey design into account, is also examined for goodness-of-fit of the model and for testing hypotheses on the parameters of the assumed model. Logistic regression diagnostics to detect any outlying cell proportions in the table and influential points in the factor space are applied to the LFS data, after making necessary adjustments to account for the survey design.

Description:

Most sample surveys conducted by organizations such as Statistics Canada or the U.S. Bureau of the Census employ complex designs. The design-based approach to statistical inference, typically the institutional standard of inference for simple population statistics such as means and totals, may be extended to parameters of analytic models as well. Most of this paper focuses on application of design-based inferences to such models, but rationales are offered for use of model-based alternatives in some instances, by way of explanation for the author’s observation that both modes of inference are used in practice at his own institution.

Within the design-based approach to inference, the paper briefly describes experience with linear regression analysis. Recently, variance computations for a number of surveys of the Census Bureau have been implemented through “replicate weighting”; the principal application has been for variances of simple statistics, but this technique also facilitates variance computation for virtually any complex analytic model. Finally, approaches and experience with log-linear models are reported.

Description:

The paper shows different estimation methods for complex survey designs. Among others, estimation of mean, ratio and regression coefficient is presented. The standard errors are estimated by different methods: the ordinary least squares procedure, the stratified weighted sample procedure, the stratified unit weight procedure, etc. Theory of large samples and conditions to apply it are also presented.

Description: This publication provides insights on housing data and analysis at Statistics Canada. Readers can access in-depth information on the latest housing data released by the Agency. The series relies on both descriptive and analytical methods to analyze administrative and survey data sets that relate to housing.

Description: This series provides detailed documentation on income developments, including survey design issues, data quality evaluation and exploratory research.

Description: This publication provides in-depth analysis and detailed statistics on a variety of topics and issues related to justice and public safety. Topics include crime, victimization, homicide, civil, family and criminal courts, and correctional services. Issues related to community safety, and perceptions of safety are also covered. The publication is intended for those with an interest in Canada's justice and public safety systems as well as those who plan, establish, administer and evaluate programs and projects related to justice and public safety.

Description: Studies on Gender and Intersecting Identities brings together and analyzes a wide range of important issues related to gender, age, sexuality, disability, ethnocultural characteristics and other intersecting identities. Through a Gender-based Analysis Plus (GBA+) lens, these studies will enrich Canadians' understanding of how gender and other identity factors affect the social, economic and financial participation and status of diverse groups of Canadians.

Description: This publication features short and accessible analytical articles that delve further into key findings and emerging trends identified in Census of Agriculture and other data sources related to agriculture. Subjects of analysis include matters related to farm land, crops, livestock, farm finances, technology, the environment and the farm population, as well as other economic and social aspects of Canada’s agriculture industry. Analytical articles are written in plain language and are intended to be a valuable source of information for a broad audience, including policy analysts, students, researchers, agricultural operators, the media and the public at large.

Description: The papers in this series cover a variety of topics related to labour statistics. The studies are intended to show recent or historical trends observed with the surveys produced by the Centre for Labour Market Information, i.e. the Labour Force Survey, Survey of Employment Payrolls and Hours, Employment insurance Coverage Survey, Employment insurance statistics as well as administrative data sources. All the papers in this analytical 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.

Description: The publication features products and data highlights that focus on rural areas of Canada or that have a rural dimension present. Rural areas are typically areas outside of Canada's Census Metropolitan Areas (CMA) and Census Agglomerations (CA). The publication also includes explanatory notes on key concepts and definitions.

Description: These short analytical articles, based on data from the Census of Population, provide analysis on specific topics of interest related to the Canadian population. They are available with each Census of Population major release.

Description: This publication presents annual estimates of the total population and annual estimates by age and gender for Canada, provinces and territories. It also presents estimates of the following components of population change: births, deaths, immigration, emigration, returning emigration, net non-permanent residents and inter-provincial migration, the latter by origin and destination. As in the case of population estimates, the components are also available for the total population and by age and gender.

The Annual demographic estimates - Canada, provinces and territories publication contains the most recent estimates as well as an annual historical series. It also contains highlights and analysis of the most current demographic trends, as well as a brief description of the concepts, methods and data quality of the estimates.

Description: The series includes analysis on the characteristics of those with elementary-secondary, postsecondary and apprenticeship training. It also features analysis on students’ pathways through the education system and into the labour market-- including findings for different levels of education and fields of study. This research highlights specific groups of interest such as youth, women, men, immigrants, Indigenous people (First Nations people, Métis and Inuit) and visible minorities, and how intersections between these characteristics influence people’s educational experiences. Other topics include access to education; national and international adult performance assessments; use of technology; lifelong learning; and adult education.