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Results
All (9,931)
All (9,931) (7,310 to 7,320 of 9,931 results)
- 7,311. Linearization variance estimators for survey data ArchivedArticles and reports: 12-001-X20040016991Description:
In survey sampling, Taylor linearization is often used to obtain variance estimators for calibration estimators of totals and nonlinear finite population (or census) parameters, such as ratios, regression and correlation coefficients, which can be expressed as smooth functions of totals. Taylor linearization is generally applicable to any sampling design, but it can lead to multiple variance estimators that are asymptotically design unbiased under repeated sampling. The choice among the variance estimators requires other considerations such as (i) approximate unbiasedness for the model variance of the estimator under an assumed model, (ii) validity under a conditional repeated sampling framework. In this paper, a new approach to deriving Taylor linearization variance estimators is proposed. It leads directly to a variance estimator which satisfies the above considerations at least in a number of important cases. The method is applied to a variety of problems, covering estimators of a total as well as other estimators defined either explicitly or implicitly as solutions of estimating equations. In particular, estimators of logistic regression parameters with calibration weights are studied. It leads to a new variance estimator for a general class of calibration estimators that includes generalized raking ratio and generalized regression estimators. The proposed method is extended to two-phase sampling to obtain a variance estimator that makes fuller use of the first phase sample data compared to traditional linearization variance estimators.
Release date: 2004-07-14 - 7,312. Weighting sample data subject to independent controls ArchivedArticles and reports: 12-001-X20040016992Description:
In the U.S. Census of Population and Housing, a sample of about one-in-six of the households receives a longer version of the census questionnaire called the long form. All others receive a version called the short form. Raking, using selected control totals from the short form, has been used to create two sets of weights for long form estimation; one for individuals and one for households. We describe a weight construction method based on quadratic programming that produces household weights such that the weighted sum for individual characteristics and for household characteristics agree closely with selected short form totals. The method is broadly applicable to situations where weights are to be constructed to meet both size bounds and sum-to-control restrictions. Application to the situation where the controls are estimates with an estimated covariance matrix is described.
Release date: 2004-07-14 - Articles and reports: 12-001-X20040016993Description:
The weighting cell estimator corrects for unit nonresponse by dividing the sample into homogeneous groups (cells) and applying a ratio correction to the respondents within each cell. Previous studies of the statistical properties of weighting cell estimators have assumed that these cells correspond to known population cells with homogeneous characteristics. In this article, we study the properties of the weighting cell estimator under a response probability model that does not require correct specification of homogeneous population cells. Instead, we assume that the response probabilities are a smooth but otherwise unspecified function of a known auxiliary variable. Under this more general model, we study the robustness of the weighting cell estimator against model misspecification. We show that, even when the population cells are unknown, the estimator is consistent with respect to the sampling design and the response model. We describe the effect of the number of weighting cells on the asymptotic properties of the estimator. Simulation experiments explore the finite sample properties of the estimator. We conclude with some guidance on how to select the size and number of cells for practical implementation of weighting cell estimation when those cells cannot be specified a priori.
Release date: 2004-07-14 - 7,314. Variance estimation with Hot Deck imputation using a model ArchivedArticles and reports: 12-001-X20040016994Description:
When imputation is used to assign values for missing items in sample surveys, naïve methods of estimating the variances of survey estimates that treat the imputed values as if they were observed give biased variance estimates. This article addresses the problem of variance estimation for a linear estimator in which missing values are assigned by a single hot deck imputation (a form of imputation that is widely used in practice). We propose estimators of the variance of a linear hot deck imputed estimator using a decomposition of the total variance suggested by Särndal (1992). A conditional approach to variance estimation is developed that is applicable to both weighted and unweighted hot deck imputation. Estimation of the variance of a domain estimator is also examined.
Release date: 2004-07-14 - 7,315. Domain estimation using linear regression ArchivedArticles and reports: 12-001-X20040016995Description:
One of the main objectives of a sample survey is the computation of estimates of means and totals for specific domains of interest. Domains are determined either before the survey is carried out (primary domains) or after it has been carried out (secondary domains). The reliability of the associated estimates depends on the variability of the sample size as well as on the y-variables of interest. This variability cannot be controlled in the absence of auxiliary information for subgroups of the population. However, if auxiliary information is available, the estimated reliability of the resulting estimates can be controlled to some extent. In this paper, we study the potential improvements in terms of the reliability of domain estimates that use auxiliary information. The properties (bias, coverage, efficiency) of various estimators that use auxiliary information are compared using a conditional approach.
Release date: 2004-07-14 - Articles and reports: 12-001-X20040016996Description:
This article studies the use of the sample distribution for the prediction of finite population totals under single-stage sampling. The proposed predictors employ the sample values of the target study variable, the sampling weights of the sample units and possibly known population values of auxiliary variables. The prediction problem is solved by estimating the expectation of the study values for units outside the sample as a function of the corresponding expectation under the sample distribution and the sampling weights. The prediction mean square error is estimated by a combination of an inverse sampling procedure and a re-sampling method. An interesting outcome of the present analysis is that several familiar estimators in common use are shown to be special cases of the proposed approach, thus providing them a new interpretation. The performance of the new and some old predictors in common use is evaluated and compared by a Monte Carlo simulation study using a real data set.
Release date: 2004-07-14 - 7,317. Weighted estimation in multilevel ordinal and binary models in the presence of informative sampling designs ArchivedArticles and reports: 12-001-X20040016997Description:
Multilevel models are often fitted to survey data gathered with a complex multistage sampling design. However, if such a design is informative, in the sense that the inclusion probabilities depend on the response variable even after conditioning on the covariates, then standard maximum likelihood estimators are biased. In this paper, following the Pseudo Maximum Likelihood (PML) approach of Skinner (1989), we propose a probability weighted estimation procedure for multilevel ordinal and binary models which eliminates the bias generated by the informativeness of the design. The reciprocals of the inclusion probabilities at each sampling stage are used to weight the log likelihood function and the weighted estimators obtained in this way are tested by means of a simulation study for the simple case of a binary random intercept model with and without covariates. The variance estimators are obtained by a bootstrap procedure. The maximization of the weighted log likelihood of the model is done by the NLMIXED procedure of the SAS, which is based on adaptive Gaussian quadrature. Also the bootstrap estimation of variances is implemented in the SAS environment.
Release date: 2004-07-14 - 7,318. Longitudinal analysis of Labour Force Survey data ArchivedArticles and reports: 12-001-X20040016998Description:
The Canadian Labour Force Survey (LFS) was not designed to be a longitudinal survey. However, given that respondent households typically remain in the sample for six consecutive months, it is possible to reconstruct six-month fragments of longitudinal data from the monthly records of household members. Such longitudinal micro-data - altogether consisting of millions of person-months of individual and family level data - is useful for analyses of monthly labour market dynamics over relatively long periods of time, 25 years and more.
We make use of these data to estimate hazard functions describing transitions among the labour market states: self-employed, paid employee and not employed. Data on job tenure, for employed respondents, and on the date last worked, for those not employed - together with the date of survey responses - allow the construction of models that include terms reflecting seasonality and macro-economic cycles as well as the duration dependence of each type of transition. In addition, the LFS data permits spouse labour market activity and family composition variables to be included in the hazard models as time-varying covariates. The estimated hazard equations have been incorporated in the LifePaths microsimulation model. In that setting, the equations have been used to simulate lifetime employment activity from past, present and future birth cohorts. Simulation results have been validated by comparison with the age profiles of LFS employment/population ratios for the period 1976 to 2001.
Release date: 2004-07-14 - Articles and reports: 12-001-X20040016999Description:
Combining response data from the Belgian Fertility and Family Survey with individual level and municipality level data from the 1991 Census for both nonrespondents and respondents, multilevel logistic regression models for contact and cooperation propensity are estimated. The covariates introduced are a selection of indirect features, all out of the researchers' direct control. Contrary to previous research, Socio Economic Status is found to be positively related to cooperation. Another unexpected result is the absence of any considerable impact of ecological correlates such as urbanity.
Release date: 2004-07-14 - 7,320. In this issue (Vol. 30, no. 1) ArchivedArticles and reports: 12-001-X20040019186Description:
In this Issue is a column where the Editor biefly presents each paper of the current issue of Survey Methodology. As well, it sometimes contain informations on structure or management changes in the journal.
Release date: 2004-07-14
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Stats in brief (2,650)
Stats in brief (2,650) (40 to 50 of 2,650 results)
- Stats in brief: 11-001-X20241073665Description: Release published in The Daily – Statistics Canada’s official release bulletinRelease date: 2024-04-16
- Stats in brief: 11-627-M2024017Description: This infographic provides estimates on health care workers' stress, alcohol consumption and positive health behaviours during the COVID-19 pandemic. Estimates are provided across three primary health care worker groups: nurses, physicians, and Personal Support Workers/Care Aides (PSWs/CAs).Release date: 2024-04-15
- Stats in brief: 11-631-X2024004Description: Many aspects of Canadian society affect and are affected by climate change. This presentation synthesizes recent research examining the impact of climate change on Canadian society (economy, labour, and health) as well as adaptation and mitigation measures to combat climate change.Release date: 2024-04-15
- Stats in brief: 45-20-00032024002Description: StatCan released new analysis into the online culture our kids are growing up in, and it’s far from the best of all possible worlds: misinformation, bullying, violence… and worse. Analyst Rachel Tsitomeneas joins us to dive into the findings.Release date: 2024-04-12
- Stats in brief: 11-001-X202410319627Description: Release published in The Daily – Statistics Canada’s official release bulletinRelease date: 2024-04-12
- Stats in brief: 11-001-X202410323503Description: Release published in The Daily – Statistics Canada’s official release bulletinRelease date: 2024-04-12
- Stats in brief: 11-001-X2024103736Description: Release published in The Daily – Statistics Canada’s official release bulletinRelease date: 2024-04-12
- Stats in brief: 11-627-M2024018Description: This infographic explores ecosystem services, which provide many benefits to society. The infographic provides a visual representation of the three main types of ecosystem services – provisioning services, regulating and maintenance services and cultural services.Release date: 2024-04-11
- Stats in brief: 11-001-X202409638185Description: Release published in The Daily – Statistics Canada’s official release bulletinRelease date: 2024-04-05
- Stats in brief: 11-001-X202409437986Description: Release published in The Daily – Statistics Canada’s official release bulletinRelease date: 2024-04-03
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Articles and reports (6,958)
Articles and reports (6,958) (6,940 to 6,950 of 6,958 results)
- 6,941. On the inclusion of large units in simple random sampling ArchivedArticles and reports: 12-001-X197900100005Description: Approximate cutoff rules for stratifying a population into a take-all and take-some universe have been given by Dalenius (1950) and Glasser (1962). They expressed the cutoff value (that value which delineates the boundary of the take-all and take-some) as a function of the mean, the sampling weight and the population variance. Their cutoff values were derived on the assumption that a single random sample of size n was to be drawn without replacement from the population of size N.In the present context, exact and approximate cutoff rules have been worked out for a similar situation. Rather than providing the sample size of the sample, the precision (coefficient of variation) is given. Note that in many sampling situations, the sampler is given a set of objectives in terms of reliability and not sample size. The result is particularly useful for determining the take-all - take-some boundary for samples drawn from a known population. The procedure is also extended to ratio estimation.Release date: 1979-06-15
- 6,942. Unbiased estimation of proportions under sequential sampling ArchivedArticles and reports: 12-001-X197900100006Description: Under a sequential sampling plan, the proportion defective in the sample is generally a biased estimator of the population value. In this paper, an unbiased estimator is given. Also, an unbiased estimator of its variance is derived. These results are applied to an estimation problem from the 1976 Canadian Census.Release date: 1979-06-15
- 6,943. The application of a systematic method of automatic edit and imputation to the 1976 Canadian Census of Population and Housing ArchivedArticles and reports: 12-001-X197800254832Description: I.P. Fellegi and D. Holt proposed a systematic approach to automatic edit and imputation. An implementation of this proposal was a Generalized Edit and Imputation System by the Hot-Deck Approach, that was utilized in the edit and imputation of the 1976 Canadian Census of Population and Housing. This paper discusses that application, evaluating the strengths and weaknesses of the methodology with some empirical evidence. The system will be considered in relation to the general issues of the edit and imputation of survey data. Some directions for future developments will also be considered.Release date: 1978-12-15
- 6,944. Large scale imputation of survey data ArchivedArticles and reports: 12-001-X197800254833Description: Owners of small businesses complain about the quantity of forms they are required to collectors of statistics. Administrative data are an alternative source but do not usually include all the information required by the survey takers.The “Tax Data Imputation System” makes use of tax data collected from a large number of businesses by Revenue Canada and data obtained by sample survey for a small subset of these businesses. Survey data is imputed (estimated) for all the businesses not actually surveyed using a “hot-deck” technique, with adjustments made to ensure certain edit rules are satisfied. The results of a simulation study suggest that this procedure has reasonable statistical properties. Estimators (of means or totals) are unbiased with variances of comparable size to the corresponding ratio estimators.Release date: 1978-12-15
- Articles and reports: 12-001-X197800254834Description: Frames designed for continuous surveys are sometimes used for ad hoc surveys which require selection of sampling units separate from those selected for the continuous survey. This paper presents an unbiased extension of Keyfitz’s (1951) sample updating method to the case where a portion of the frame has been reserved for surveys other than the main continuous survey. A simple although biased alternative is presented. The scope under Platek and Singh’s (1975) design strategy for an area based continuous survey requiring updating is then expanded to encompass rotation of first stage units, establishment of a separate special survey sub-frame, and procedures to prevent re-selection of ultimate sampling units. The methods are evaluated in a Monte Carlo study using Census data to simulate the design for the Canadian Labour Force Survey.Release date: 1978-12-15
- 6,946. Alternative estimators in PPS sampling ArchivedArticles and reports: 12-001-X197800254835Description: Some estimators alternative to the usual PPS estimator are suggested in this paper for situations where the size measure used for PPS sampling is not correlated with the study variable and where data are available on another supplementary variable (size measure). Properties of these estimators are studied under super-population models and also empirically.Release date: 1978-12-15
- 6,947. Non-response and imputation ArchivedArticles and reports: 12-001-X197800254830Description:
The problems of dealing with non-response at various stages of survey planning are discussed with implications for the mean square error, practicality and possible advantages and disadvantages. Conceptual issues of editing and imputation are also considered with regard to complexity and levels of imputation. The methods of imputation include weighting, duplication, and substitution of historical records. The paper includes some methodology on the bias and variance.
Release date: 1978-12-15 - 6,948. The evolution of a national statistical agency ArchivedArticles and reports: 12-001-X197800254831Description:
A chronological account of the development of Canada’s central statistical agency is presented in this paper with emphasis on the importance of adapting the organization to the demands of the times.
Release date: 1978-12-15 - 6,949. The effect of a two-stage sample design on tests of independence ArchivedArticles and reports: 12-001-X197800154830Description: When a two-stage sample is used to collect data, the correlations between the sampled units make the ?2 test of independence invalid. Use of the ordinary ?2 tables generally results in a test which is greater than the desired level of significance. The effect of the sample design comes from two main areas: the sample size within PSU’s and the degree to which the characteristics are independent within each PSU. The effect of the sample size within PSU’s is greatest when there is no independence within each PSU, and diminishes as the degree of independence increases.Release date: 1978-06-15
- 6,950. Approximate tests of independence and goodness of fit based on stratified multi-stage samples ArchivedArticles and reports: 12-001-X197800154831Description: The impact on linear statistics of the sample design used in obtaining survey data is the subject of much of sampling literature. Recently, more attention has been paid to the design’s impact on non-linear statistics; the major factor inhibiting these investigations has been the problem of estimating at least the first two moments of such statistics. The present article examines the problem of estimating the variances of non-linear statistics from complex samples, in the light of existing literature. The behaviour of the chi-square statistic computed from a complex sample to test hypotheses of goodness of fit or independence is studied. Alternative tests are developed and their properties studied in simulation experiments.Release date: 1978-06-15
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Journals and periodicals (323)
Journals and periodicals (323) (20 to 30 of 323 results)
- Journals and periodicals: 75-004-MGeography: CanadaDescription: 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.Release date: 2024-03-04
- Journals and periodicals: 45-20-0004Description: 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.Release date: 2024-03-01
- Journals and periodicals: 11-635-XDescription: Departmental Plans (DP) are individual expenditure plans for each department and agency. These reports provide increased levels of detail over a three-year period on an organization's main priorities by strategic outcome, program and planned/expected results, including links to related resource requirements presented in the Main Estimates. In conjunction with the Main Estimates, Departmental Plans serve to inform members of Parliament on planned expenditures of departments and agencies, and support Parliament's consideration of supply bills. The DPs are typically tabled soon after the Main Estimates by the President of the Treasury Board.Release date: 2024-02-29
- 24. Census in BriefJournals and periodicals: 98-200-XDescription: 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.Release date: 2024-02-28
- Journals and periodicals: 91-215-XDescription: 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.
Release date: 2024-02-21 - Journals and periodicals: 81-595-MGeography: CanadaDescription: 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.Release date: 2024-02-21
- Journals and periodicals: 75-005-MDescription: The papers in this series cover a variety of technical topics related to the Centre for Labour Market Information programs, such as the Labour Force Survey, the Survey of Employment Payrolls and Hours, the Employment insurance Coverage Survey, the Employment Insurance Statistics program as well as data from administrative sources.Release date: 2024-02-16
- Journals and periodicals: 75-006-XGeography: CanadaDescription: This publication brings together and analyzes a wide range of data sources in order to provide information on various aspects of Canadian society, including labour, income, education, social, and demographic issues, that affect the lives of Canadians.Release date: 2024-02-14
- Journals and periodicals: 13-604-MGeography: CanadaDescription: These papers provide background information as well as in depth analysis on data reported in any of the following accounts: income and expenditure accounts, provincial economic accounts, financial flow accounts, national balance sheet accounts, estimates of labour income, and national tourism indicators.Release date: 2024-02-12
- Journals and periodicals: 91F0015MGeography: CanadaDescription: Demographic documentsis a series of texts intended for scholars and researchers, published occasionally by the Demography Division of Statistics Canada for their methodological, analytical or descriptive interest in the population field.Release date: 2024-02-02
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