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Domains (or subpopulations) with small sample sizes are called small areas. Traditional direct estimators for small areas do not provide adequate precision because the area-specific sample sizes are small. On the other hand, demand for reliable small area statistics has greatly increased. Model-based indirect estimators of small area means or totals are currently used to address difficulties with direct estimation. These estimators are based on linking models that borrow information across areas to increase the efficiency. In particular, empirical best (EB) estimators under area level and unit level linear regression models with random small area effects have received a lot of attention in the literature. Model mean squared error (MSE) of EB estimators is often used to measure the variability of the estimators. Linearization-based estimators of model MSE as well as jackknife and bootstrap estimators are widely used. On the other hand, National Statistical Agencies are often interested in estimating the design MSE of EB estimators in line with traditional design MSE estimators associated with direct estimators for large areas with adequate sample sizes. Estimators of design MSE of EB estimators can be obtained for area level models but they tend to be unstable when the area sample size is small. Composite MSE estimators are proposed in this paper and they are obtained by taking a weighted sum of the design MSE estimator and the model MSE estimator. Properties of the MSE estimators under the area level model are studied in terms of design bias, relative root mean squared error and coverage rate of confidence intervals. The case of a unit level model is also examined under simple random sampling within each area. Results of a simulation study show that the proposed composite MSE estimators provide a good compromise in estimating the design MSE.

This article proposes a criterion for calculating the trade-off in so-called “mixed” allocations, which combine two classic allocations in sampling theory. In INSEE (National Institute of Statistics and Economic Studies) business surveys, it is common to use the arithmetic mean of a proportional allocation and a Neyman allocation (corresponding to a trade-off of 0.5). It is possible to obtain a trade-off value resulting in better properties for the estimators. This value belongs to a region that is obtained by solving an optimization program. Different methods for calculating the trade-off will be presented. An application for business surveys is presented, as well as a comparison with other usual trade-off allocations.

Based on auxiliary information, calibration is often used to improve the precision of estimates. However, calibration weighting may not be appropriate for all variables of interest of the survey, particularly those not related to the auxiliary variables used in calibration. In this paper, we propose a criterion to assess, for any variable of interest, the impact of calibration weighting on the precision of the estimated total. This criterion can be used to decide on the weights associated with each survey variable of interest and determine the variables for which calibration weighting is appropriate.

In business surveys, it is common to collect economic variables with highly skewed distribution. In this context, winsorization is frequently used to address the problem of influential values. In stratified simple random sampling, there are two methods for selecting the thresholds involved in winsorization. This article comprises two parts. The first reviews the notations and the concept of a winsorization estimator. The second part details the two methods and extends them to the case of Poisson sampling, and then compares them on simulated data sets and on the labour cost and structure of earnings survey carried out by INSEE.

This article compares the main data sources and methods that can provide a measure of Canadian emigration. The main result is that the various available sources and methods differ sometimes substantially in regards to their universe, coverage and concepts. As a result, the number of emigrants can also change a lot according to the approach used.

The objective of this study is to compare estimates of physical activity among adults from a newly developed Canadian questionnaire with those obtained objectively by accelerometry. Data for 18- to 79-year-olds were collected in 2014 and 2015 as part of the Canadian Health Measures Survey. Moderate-to-vigorous physical activity was reported on the household questionnaire by domain (transportation, recreation, and occupational or household) as part of the new Physical Activity Adult Questionnaire (PAAQ) and measured objectively using the Actical accelerometer.

This study estimates the prevalence of nighttime insomnia symptoms among Canadians aged 6 to 79, and examines trends over time (2007 to 2015). The study is based on 21,826 respondents from the 2007-to-2015 Canadian Health Measures Survey.

This study presents cancer incidence by stage at diagnosis for the top four cancers, using data from the Canadian Cancer Registry for the combined period of 2011 to 2015.

This report presents monthly aircraft movements for Canadian airports with NAV CANADA air traffic control towers and NAV CANADA flight service stations.

Both in school and in the work place, youth in Canada are hopeful for the future but aware of the obstacles that lay ahead. This infographic uses data from the 2016 Canadians at Work and Home Survey to capture some ways in which youth experience and navigate these domains. Despite the real-world challenges that Canadian youth may experience, they prove to be resilient, hopeful and aware of the opportunities ahead.

This table presents admission category and applicant type, selected income characteristics, immigrant status and period of immigration, age and sex for the population in private households of Canada, provinces and territories and census metropolitan areas.

This table presents commuting flow from geography of residence to geography of work for census divisions and sex for the employed labour force aged 15 years and over having a usual place of work, in private households.

This table presents membership in a First Nation or Indian Band, residence on or off reserve, age, and sex for the population in private households of Canada, provinces and territories.

These cross-tabulations allow for a more detailed examination of Canada, by comparing up to eight variables across various levels of geography. Data tables are available with each census release, with additional tables (e.g., at lower geographic levels and different/additional variable combinations) produced following the 2016 Census major releases. Data tables can be downloaded in a variety of commonly used formats (e.g., CSV, TAB, IVT or SDMX).

This table presents first official language spoken, highest certificate, diploma or degree, immigrant status and period of immigration, individual low-income status, low-income indicators, work activity during the reference year, and sex and age for the population aged 15 years and over in private households of Canada, provinces and territories, census metropolitan areas and census agglomerations.

This table presents census family status and household living arrangements, household type of person, age and sex for the population in private households of Canada, provinces and territories, census metropolitan areas and census agglomerations.

This table presents census family structure and presence and ages of children for census families in private households of Canada, provinces and territories, census metropolitan areas and census agglomerations.

This web application provides access to data on production and international trade of aluminum and steel. The series of graphs and charts provides statistics on aluminum and steel production, exports and imports.

This table presents ethnic origin, age, sex and selected demographic, cultural, labour force, educational and income characteristics for the population in private households of Canada, provinces and territories, census metropolitan areas and census agglomerations.

This table presents visible minority, age, sex and selected demographic, cultural, labour force, educational and income characteristics for the population in private households of Canada, provinces and territories, census metropolitan areas and census agglomerations.

This report uses immigrant data series from the Labour Force Survey to provide a description of immigrants' labour-market outcomes, from 2006 to 2017.

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.

The 2008 financial crisis demonstrated how quickly economic shocks can spread between sectors and countries, making it apparent that the existing set of macroeconomic statistics contained gaps for identifying such systemic issues. Users therefore require new products from the System of National Accounts that demonstrate the financial linkages between sectors in the economy. The Special Data Dissemination Plus (SDDS+) and G20 Data Gaps initiatives were established by the International Monetary Fund (IMF) to address some of these data gaps, and presented specific recommendations to G20 countries. One of these recommendations asks statistical agencies to begin compiling more detailed data on the interconnectedness of the economy by incorporating a "From-Whom-To-Whom" (FWTW) framework. This FWTW framework includes statistics that make counterparty information explicit, showing how various sectors of the economy are connected by financial interdependencies. In other words, the data presented on this new basis allows users to answer the question "whom is funding whom and with what financial instruments". In this visualisation tool, we present six instruments on a FWTW basis in a fully customizable pivot table.

This article presents the history of statistical law in Canada.

Panel surveys are frequently used to measure the evolution of parameters over time. Panel samples may suffer from different types of unit non-response, which is currently handled by estimating the response probabilities and by reweighting respondents. In this work, we consider estimation and variance estimation under unit non-response for panel surveys. Extending the work by Kim and Kim (2007) for several times, we consider a propensity score adjusted estimator accounting for initial non-response and attrition, and propose a suitable variance estimator. It is then extended to cover most estimators encountered in surveys, including calibrated estimators, complex parameters and longitudinal estimators. The properties of the proposed variance estimator and of a simplified variance estimator are estimated through a simulation study. An illustration of the proposed methods on data from the ELFE survey is also presented.

Sample coordination seeks to create a probabilistic dependence between the selection of two or more samples drawn from the same population or from overlapping populations. Positive coordination increases the expected sample overlap, while negative coordination decreases it. There are numerous applications for sample coordination with varying objectives. A spatially balanced sample is a sample that is well-spread in some space. Forcing a spread within the selected samples is a general and very efficient variance reduction technique for the Horvitz-Thompson estimator. The local pivotal method and the spatially correlated Poisson sampling are two general schemes for achieving well-spread samples. We aim to introduce coordination for these sampling methods based on the concept of permanent random numbers. The goal is to coordinate such samples while preserving spatial balance. The proposed methods are motivated by examples from forestry, environmental studies, and official statistics.

These last years, balanced sampling techniques have experienced a recrudescence of interest. They constrain the Horvitz Thompson estimators of the totals of auxiliary variables to be equal, at least approximately, to the corresponding true totals, to avoid the occurrence of bad samples. Several procedures are available to carry out balanced sampling; there is the cube method, see Deville and Tillé (2004), and an alternative, the rejective algorithm introduced by Hájek (1964). After a brief review of these sampling methods, motivated by the planning of an angler survey, we investigate using Monte Carlo simulations, the survey designs produced by these two sampling algorithms.

Many studies conducted by various electric utilities around the world are based on the analysis of mean electricity consumption curves for various subpopulations, particularly geographic in nature. Those mean curves are estimated from samples of thousands of curves measured at very short intervals over long periods. Estimation for small subpopulations, also called small domains, is a very timely topic in sampling theory.

In this article, we will examine this problem based on functional data and we will try to estimate the mean curves for small domains. For this, we propose four methods: functional linear regression; modelling the scores of a principal component analysis by unit-level linear mixed models; and two non-parametric estimators, with one based on regression trees and the other on random forests, adapted to the curves. All these methods have been tested and compared using real electricity consumption data for households in France.

In Italy, the Labor Force Survey (LFS) is conducted quarterly by the National Statistical Institute (ISTAT) to produce estimates of the labor force status of the population at different geographical levels. In particular, ISTAT provides LFS estimates of employed and unemployed counts for local Labor Market Areas (LMAs). LMAs are 611 sub-regional clusters of municipalities and are unplanned domains for which direct estimates have overly large sampling errors. This implies the need of Small Area Estimation (SAE) methods. In this paper, we develop a new area level SAE method that uses a Latent Markov Model (LMM) as linking model. In LMMs, the characteristic of interest, and its evolution in time, is represented by a latent process that follows a Markov chain, usually of first order. Therefore, areas are allowed to change their latent state across time. The proposed model is applied to quarterly data from the LFS for the period 2004 to 2014 and fitted within a hierarchical Bayesian framework using a data augmentation Gibbs sampler. Estimates are compared with those obtained by the classical Fay-Herriot model, by a time-series area level SAE model, and on the basis of data coming from the 2011 Population Census.

When a linear imputation method is used to correct non-response based on certain assumptions, total variance can be assigned to non-responding units. Linear imputation is not as limited as it seems, given that the most common methods – ratio, donor, mean and auxiliary value imputation – are all linear imputation methods. We will discuss the inference framework and the unit-level decomposition of variance due to non-response. Simulation results will also be presented. This decomposition can be used to prioritize non-response follow-up or manual corrections, or simply to guide data analysis.

This guide presents information of interest to users of data from the Survey of Household Spending (SHS). It includes descriptions of the survey terms and variables definitions as well as of the survey methodology and data quality. The guide also includes a section describing various examples of estimates that can be drawn from the survey data.

The Survey of Household Spending (SHS) conducted by Statistics Canada collects detailed spending information as well as selected information on dwelling characteristics and household equipment. This technical note provides additional information on the quality of the SHS data and their fitness for use.

The Longitudinal Immigration Database (IMDB) is a comprehensive source of data that plays a key role in the understanding of the economic behaviour of immigrants. It is the only annual Canadian dataset that allows users to study the characteristics of immigrants to Canada at the time of admission and their economic outcomes and regional (inter-provincial) mobility over a time span of more than 30 years. The IMDB combines administrative files on immigrant admissions and non-permanent resident permits from Immigration, Refugees and Citizenship Canada (IRCC) with tax files from the Canadian Revenue Agency (CRA). Information is available for immigrant taxfilers admitted since 1980. Tax records for 1982 and subsequent years are available for immigrant taxfilers. This report will discuss the IMDB data sources, concepts and variables, record linkage, data processing, dissemination, data evaluation and quality indicators, comparability with other immigration datasets, and the analyses possible with the IMDB.

This technical reference guide is intended for users of the Education and Labour Market Longitudinal Platform (ELMLP). The data for the products associated with this release are derived from integrating the Registered Apprenticeship Information System (RAIS) with other administrative data on earnings. Statistics Canada has derived a series of indicators on educational pathways and labour market outcomes for registered apprentices by select trades, cohorts of apprentices, by sex, for Canada, all provinces, the Atlantic region, and for grouped territories.

This technical reference guide is intended for users of the Education and Labour Market Longitudinal Platform (ELMLP). The data for the products associated with this issue are derived from integrating Postsecondary Student Information System (PSIS) administrative data with other administrative data on earnings. Statistics Canada has derived a series of annual indicators on the labour market outcomes of public postsecondary graduates including median employment income by educational qualification, field of study, age group and sex for Canada, the provinces and the territories combined.

This document describes Statistics Canada's vision for a modernized national statistical system and its strategy for making it a reality in partnership with its many stakeholders.

This document describes Statistics Canada's vision for a modernized national statistical system and its strategy for making it a reality in partnership with its many stakeholders.

Data on income of census families, individuals and seniors are derived from income tax returns. The data for the products associated with this release are derived from the T1 file that Statistics Canada receives from Canada Revenue Agency (CRA) thirteen months after the end of the taxation year.

The Guide to the Job Vacancy and Wage Survey contains a dictionary of concepts and definitions, and covers topics such as survey methodology, data collection, processing, and data quality. The guide covers both components of the survey: the job vacancy component, which is quarterly, and the wage component, which is annual.