Analysis

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:

Cost models to determine an optimum allocation of the sample among stages in cluster samples are considered. Results from a proposed cost model, which directly considers the implications of follow-up visits to sample clusters as well as other travel to and from the field by data collectors, are compared with results from existing cost models. The proposed model generally calls for fewer clusters with more elements selected per cluster than the existing models.

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: We can try our best, but its not always easy knowing what's best for the environment. The world is complicated, and it isn't as simple as reduce, reuse, recycle—though that's a great place to start! In the immortal words of Kermit the Frog, "It's not easy bein' green."

We have two stories exploring that theme. The first is one we made in-house asking just how green our digital world really is, and the second comes from the Simply Science podcast exploring the world of urban forests.

Description: Using data from the 2022 Time Use Survey, this infographic provides highlights from the study “Telework, time use, and well-being: Evidence from the 2022 Time Use Survey.” Data about the differences in time use between teleworkers and non-teleworkers are shown, particularly where time saved on the commute to and from work is reallocated to other activities such as time spent with children. The infographic also shows the differences in satisfaction with work-life balance when comparing the two groups.

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: The total variance of a survey estimate incorporates sampling variance, simple response variance and correlated response variance. The last component reflects the part of the total variance due to a common influence on a group of respondents. In the Canadian census, self-enumeration was adopted as the standard method of enumeration in the 1971 Census. One factor in favor of introducing this method was evidence, from the 1961 Census, that correlated response variance made an important contribution to the total variance of census estimates. Based on a study conducted using interpenetration of interviewers, this article compares correlated response variances from the 1961, 1971 and 1976 Censuses. The empirical results demonstrate that although the self-enumeration adopted in the 1971 Census did not completely remove the correlated response variance, this approach has considerably reduced the magnitude of this component of variance for almost all the characteristics examined.

Description: This article presents the findings of an experimental design set up to study the variation in refusal rates to the different modules of the physical measures component of the Canada Health Survey. The study indicated that interviewer teams have a significant impact on refusal rates. Also, a large proportion of the refusals was due to total family refusals rather than individual refusals within responding families.

Description: Raking ratio estimators give estimates of the population values of characteristics examined on a sample basis utilizing the row and column totals of a contingency table of characteristics examined on a 100% basis. In this paper, the asymptotic variance of the maximum likelihood estimator of a sample characteristic subject to the marginal constraints of the above contingency table is derived. From this, we are able to compute the loss in efficiency of the raking ratio estimators relative to the maximum likelihood estimator in an empirical study.

Description:

This paper advances the case that administrative records are a powerful source of statistics and in support of this conclusion provides an overview of the extensive utilization in Canada of administrative records for statistical purposes. The paper discusses recent developments and the changing environment which are seen as major determinants of both the creation of administrative data bases as well as their utilization. The capabilities of the computer, combined with the extensive demand for statistics and the limited financial resources available to meet that demand, are seen as combining to lead to more extensive use of administrative records. A variety of problems associated with the use of administrative records is specified and the development of strategies to meet these problems and permit utilization of administrative records is described. Recent developments in Canada intended to support the use of administrative records are indicated.

Description:

Non-response exists in any survey, but its magnitude depends upon the type of survey, the interviewers’ ability to conduct an interview, and the respondents’ motivation to respond to survey questions. This paper discusses non-response in relation to a number of household surveys and in particular the behaviour of non-response rates over time in a continuous survey such as the Canadian Labour Force Survey.

A profile of interviewers employed by Statistics Canada shows that the correlation between non-response and a number of interviewer characteristics is not significant. Respondents themselves, and their motivation, are the key elements in an interview process and therefore in respondent relations.

This article draws on the results of various studies conducted to investigate the effects of response burden, choice of respondent and response incentives to provide some insight into the characteristics of non-respondents.

Description:

Madow [1968] has proposed a two-phase sampling scheme under which response bias can be eliminated from sample surveys by obtaining “true” values for a subsample of the original sample. Often in cases of Censuses or ongoing surveys, the subsample data are not used to correct the main survey estimates but to assess their reliability. The main purpose of this paper is to present methods by which reliability estimates can be obtained when true values can be determined for a subsample of units.

Description:

Random rounding is a technique to ensure confidentiality of aggregate statistics. By randomly rounding all the components of a total, independently, together with the random rounding of the total itself, substantial discrepancies may arise when aggregating the published data. This paper presents a procedure which avoids substantial discrepancies while still protecting the concept of confidentiality.

Description: Papers in this series provide background discussions of the methods used to develop data for economic, health, and social analytical studies at Statistics Canada. They are intended to provide readers with information on the statistical methods, standards and definitions used to develop databases for research purposes. All papers in this series have undergone peer and institutional review to ensure that they conform to Statistics Canada's mandate and adhere to generally accepted standards of good professional practice.

Description: This article presents results from the first 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 sex, environmental command, type of service, age, rank, and number of years of service.

Description: This publication features short, informative articles focusing on specific justice-related issues. For more in-depth articles on justice in Canada, see also Juristat, Catalogue no. 85-002-X.

Description:

Each issue contains a short article highlighting statistical insights on themes relating to agriculture, food and rural issues.

Description: This publication presents energy balance sheets in natural units and heat equivalents in primary and secondary forms, by province. Each balance sheet shows data on production, trade, interprovincial movements, conversion and consumption by sector. Analytical tables and details on non-energy products are also included. It includes explanatory notes, a historical energy summary table and data analysis. The publication also presents data on natural gas liquids, electricity generated from fossil fuels, solid wood waste and spent pulping liquor.

Description: The Departmental Sustainable Development Strategy (DSDS) outlines departmental actions, with measurable performance indicators, that support the implementation strategies of the 2022-2026 Federal Sustainable Development Strategy. The DSDS further outlines Statistics Canada’s sustainable development vision to produce data to help track whether Canada is moving toward a more sustainable future and highlights projects with links to supporting sustainable development goals.

Description: This series provides detailed documentation on the issues, concepts, methodology, data quality and other relevant research related to household expenditures from the Survey of Household Spending, the Homeowner Repair and Renovation Survey and the Food Expenditure Survey.

Description: This report summarizes the annual achievements of the Methodology Research and Development Program (MRDP) sponsored by the Modern Statistical Methods and Data Science Branch at Statistics Canada. This program covers research and development activities in statistical methods with potentially broad application in the agency’s statistical programs; these activities would otherwise be less likely to be carried out during the provision of regular methodology services to those programs. The MRDP also includes activities that provide support in the application of past successful developments in order to promote the use of the results of research and development work. Selected prospective research activities are also presented.

Description: The series covers environment accounts and indicators, environmental surveys, spatial environmental information and other research related to environmental statistics. The technical paper series is intended to stimulate discussion on a range of environmental topics.

Description: This series of analytical articles provides insights on the socio-economic environment in rural communities in Canada. New articles will be released periodically.