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  • Articles and reports: 12-001-X201200111686
    Description:

    We present a generalized estimating equations approach for estimating the concordance correlation coefficient and the kappa coefficient from sample survey data. The estimates and their accompanying standard error need to correctly account for the sampling design. Weighted measures of the concordance correlation coefficient and the kappa coefficient, along with the variance of these measures accounting for the sampling design, are presented. We use the Taylor series linearization method and the jackknife procedure for estimating the standard errors of the resulting parameter estimates. Body measurement and oral health data from the Third National Health and Nutrition Examination Survey are used to illustrate this methodology.

    Release date: 2012-06-27

  • Articles and reports: 11-622-M2012023
    Geography: Canada
    Description:

    This paper examines the process by which migrants experience gains in earnings subsequent to migration and, in particular, the advantage that migrants obtain from moving to large, dynamic metropolitan labour markets, using Toronto as a benchmark. There are two potentially distinct patterns to gains in earnings associated with migration. The first is a step upwards in which workers realize immediate gains in earnings subsequent to migration. The second is accelerated gains in earnings subsequent to migration. Immediate gains are associated with obtaining a position in a more productive firm and/or a better match between worker skills and abilities and job tasks. Accelerated gains in earnings are associated processes that take time, such as learning or job switching as workers and firms seek out better matches. Evaluated here is the expectation that the economies of large metropolitan areas provide workers with an initial productive advantage stemming from a one-time improvement in worker productivity and/or a dynamic that accelerates gains in earnings over time through the potentially entwined processes of learning and matching. A variety of datasets and methodologies, including propensity score matching, are used to evaluate patterns of income gains associated with migration to Toronto.

    Release date: 2012-05-03

  • Articles and reports: 82-003-X201200111633
    Geography: Canada
    Description:

    This paper explains the methodology for creating Geozones, which are area-based thresholds of population characteristics derived from census data, which can be used in the analysis of social or economic differences in health and health service utilization.

    Release date: 2012-03-21

  • Articles and reports: 11-626-X2012003
    Geography: Canada
    Description:

    This Economic Insight discusses price differences between Canada and the United States. It is based on the concepts and methods from Statistics Canada's Purchasing Power Parity program.

    Release date: 2012-01-04

  • Articles and reports: 12-001-X201100211605
    Description:

    Composite imputation is often used in business surveys. The term "composite" means that more than a single imputation method is used to impute missing values for a variable of interest. The literature on variance estimation in the presence of composite imputation is rather limited. To deal with this problem, we consider an extension of the methodology developed by Särndal (1992). Our extension is quite general and easy to implement provided that linear imputation methods are used to fill in the missing values. This class of imputation methods contains linear regression imputation, donor imputation and auxiliary value imputation, sometimes called cold-deck or substitution imputation. It thus covers the most common methods used by national statistical agencies for the imputation of missing values. Our methodology has been implemented in the System for the Estimation of Variance due to Nonresponse and Imputation (SEVANI) developed at Statistics Canada. Its performance is evaluated in a simulation study.

    Release date: 2011-12-21

  • Articles and reports: 12-001-X201100211607
    Description:

    This paper describes recent developments in adaptive sampling strategies and introduces new variations on those strategies. Recent developments described included targeted random walk designs and adaptive web sampling. These designs are particularly suited for sampling in networks; for example, for finding a sample of people from a hidden human population by following social links from sample individuals to find additional members of the hidden population to add to the sample. Each of these designs can also be translated into spatial settings to produce flexible new spatial adaptive strategies for sampling unevenly distributed populations. Variations on these sampling strategies include versions in which the network or spatial links have unequal weights and are followed with unequal probabilities.

    Release date: 2011-12-21

  • Articles and reports: 12-001-X201100211609
    Description:

    This paper presents a review and assessment of the use of balanced sampling by means of the cube method. After defining the notion of balanced sample and balanced sampling, a short history of the concept of balancing is presented. The theory of the cube method is briefly presented. Emphasis is placed on the practical problems posed by balanced sampling: the interest of the method with respect to other sampling methods and calibration, the field of application, the accuracy of balancing, the choice of auxiliary variables and ways to implement the method.

    Release date: 2011-12-21

  • Articles and reports: 12-001-X201100211610
    Description:

    In this paper, a discussion of the three papers from the US Census Bureau special compilation is presented.

    Release date: 2011-12-21

  • Articles and reports: 65-507-M2011011
    Description:

    This issue presents statistics, derived from the Importer Register Database, on importing establishments for the years 2002 to 2009. This Importer Register Database provides importer statistics such as the number of importers and the value of their imports by industry, importer size, origin and province of residence.

    The establishment is the statistical unit of measure. Consequently, any reference made here to "importers" represents "statistical establishments that imported." Inclusion in the database requires that an establishment has imported merchandise in at least one year from 2002 to 2009. If an establishment does not import in a given year, that establishment is not included in the Register for that year.

    This report is divided into four sections: "Highlights" consist of an overview of results of the 2009 Importer Register Database; "Findings" contains more detailed analyses of the Importer Register Database; "Methodology, Data concepts and definitions" outlines the estimation methods and limitations as well as the fundamental principles of the Importer Register Database; and "Data tables" contain tabular data for the years from 2002 to 2009.

    Release date: 2011-12-06

  • Articles and reports: 65-507-M2010010
    Geography: Province or territory
    Description:

    This issue presents exporter statistics from 1996 to 2009 including the number of exporters, the value of their domestic exports by industry, exporter size, destination and province of residence as well as employment statistics of exporting establishments for the year 2009. The data in this issue are at the establishment level and are derived from the Exporter Register Database.

    Release date: 2011-10-28
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Analysis (197)

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  • Articles and reports: 11F0027M2010065
    Geography: Canada
    Description:

    The purpose of this paper is twofold. First, the authors provide a detailed social accounting matrix (SAM), which incorporates the income and financial flows into the standard input-output matrix, for the Canadian economy for 2004. Second, they use the SAM to assess the strength of the real-financial linkages by calculating and comparing real SAM multipliers and financial social accounting matrix (FSAM) multipliers. For FSAM multipliers, financial flows are endogenous, whereas for real SAM multipliers they are not. The results show that taking into account financial flows increases the impact of a final demand shock on Canadian output. Financial flows also play an important role in determining the cumulative effect of an income shock or the availability of investment funds. Between 2008 and the first half of 2009, financial institutions shifted their investments toward government bonds, short-term paper, and foreign investments. This shift together with the fact that non-financial institutions were unwilling or unable to increase their financial liabilities, led to estimated declines in all GDP multipliers between 2008 and the first half of 2009 (2009H1). The main advantage of using the extended input-output analysis is that it provides a simple framework, with very few assumptions, which allows the assessment of the strength of real-financial linkages by means of multipliers. However, the methodology is subject to the Lucas critique, that as shocks shift prices, agents cannot adjust. Such a framework is, nevertheless, appropriate in short-term impact analysis such as this study.

    Release date: 2011-05-20

  • Articles and reports: 12-001-X201000211375
    Description:

    The paper explores and assesses the approaches used by statistical offices to ensure effective methodological input into their statistical practice. The tension between independence and relevance is a common theme: generally, methodologists have to work closely with the rest of the statistical organisation for their work to be relevant; but they also need to have a degree of independence to question the use of existing methods and to lead the introduction of new ones where needed. And, of course, there is a need for an effective research program which, on the one hand, has a degree of independence needed by any research program, but which, on the other hand, is sufficiently connected so that its work is both motivated by and feeds back into the daily work of the statistical office. The paper explores alternative modalities of organisation; leadership; planning and funding; the role of project teams; career development; external advisory committees; interaction with the academic community; and research.

    Release date: 2010-12-21

  • Articles and reports: 12-001-X201000211378
    Description:

    One key to poverty alleviation or eradication in the third world is reliable information on the poor and their location, so that interventions and assistance can be effectively targeted to the neediest people. Small area estimation is one statistical technique that is used to monitor poverty and to decide on aid allocation in pursuit of the Millennium Development Goals. Elbers, Lanjouw and Lanjouw (ELL) (2003) proposed a small area estimation methodology for income-based or expenditure-based poverty measures, which is implemented by the World Bank in its poverty mapping projects via the involvement of the central statistical agencies in many third world countries, including Cambodia, Lao PDR, the Philippines, Thailand and Vietnam, and is incorporated into the World Bank software program PovMap. In this paper, the ELL methodology which consists of first modeling survey data and then applying that model to census information is presented and discussed with strong emphasis on the first phase, i.e., the fitting of regression models and on the estimated standard errors at the second phase. Other regression model fitting procedures such as the General Survey Regression (GSR) (as described in Lohr (1999) Chapter 11) and those used in existing small area estimation techniques: Pseudo-Empirical Best Linear Unbiased Prediction (Pseudo-EBLUP) approach (You and Rao 2002) and Iterative Weighted Estimating Equation (IWEE) method (You, Rao and Kovacevic 2003) are presented and compared with the ELL modeling strategy. The most significant difference between the ELL method and the other techniques is in the theoretical underpinning of the ELL model fitting procedure. An example based on the Philippines Family Income and Expenditure Survey is presented to show the differences in both the parameter estimates and their corresponding standard errors, and in the variance components generated from the different methods and the discussion is extended to the effect of these on the estimated accuracy of the final small area estimates themselves. The need for sound estimation of variance components, as well as regression estimates and estimates of their standard errors for small area estimation of poverty is emphasized.

    Release date: 2010-12-21

  • Articles and reports: 12-001-X201000111244
    Description:

    This paper considers the problem of selecting nonparametric models for small area estimation, which recently have received much attention. We develop a procedure based on the idea of fence method (Jiang, Rao, Gu and Nguyen 2008) for selecting the mean function for the small areas from a class of approximating splines. Simulation results show impressive performance of the new procedure even when the number of small areas is fairly small. The method is applied to a hospital graft failure dataset for selecting a nonparametric Fay-Herriot type model.

    Release date: 2010-06-29

  • Articles and reports: 12-001-X201000111247
    Description:

    In this paper, the problem of estimating the variance of various estimators of the population mean in two-phase sampling has been considered by jackknifing the two-phase calibrated weights of Hidiroglou and Särndal (1995, 1998). Several estimators of population mean available in the literature are shown to be the special cases of the technique developed here, including those suggested by Rao and Sitter (1995) and Sitter (1997). By following Raj (1965) and Srivenkataramana and Tracy (1989), some new estimators of the population mean are introduced and their variances are estimated through the proposed jackknife procedure. The variance of the chain ratio and regression type estimators due to Chand (1975) are also estimated using the jackknife. A simulation study is conducted to assess the efficiency of the proposed jackknife estimators relative to the usual estimators of variance.

    Release date: 2010-06-29

  • Articles and reports: 12-001-X201000111249
    Description:

    For many designs, there is a nonzero probability of selecting a sample that provides poor estimates for known quantities. Stratified random sampling reduces the set of such possible samples by fixing the sample size within each stratum. However, undesirable samples are still possible with stratification. Rejective sampling removes poor performing samples by only retaining a sample if specified functions of sample estimates are within a tolerance of known values. The resulting samples are often said to be balanced on the function of the variables used in the rejection procedure. We provide modifications to the rejection procedure of Fuller (2009a) that allow more flexibility on the rejection rules. Through simulation, we compare estimation properties of a rejective sampling procedure to those of cube sampling.

    Release date: 2010-06-29

  • Articles and reports: 12-001-X201000111250
    Description:

    We propose a Bayesian Penalized Spline Predictive (BPSP) estimator for a finite population proportion in an unequal probability sampling setting. This new method allows the probabilities of inclusion to be directly incorporated into the estimation of a population proportion, using a probit regression of the binary outcome on the penalized spline of the inclusion probabilities. The posterior predictive distribution of the population proportion is obtained using Gibbs sampling. The advantages of the BPSP estimator over the Hájek (HK), Generalized Regression (GR), and parametric model-based prediction estimators are demonstrated by simulation studies and a real example in tax auditing. Simulation studies show that the BPSP estimator is more efficient, and its 95% credible interval provides better confidence coverage with shorter average width than the HK and GR estimators, especially when the population proportion is close to zero or one or when the sample is small. Compared to linear model-based predictive estimators, the BPSP estimators are robust to model misspecification and influential observations in the sample.

    Release date: 2010-06-29

  • Articles and reports: 65-507-M2010009
    Description:

    This issue presents importer statistics from 2002 to 2007 including the number of importers, the value of their imports by industry, importer size, origin and province of residence. The data in this issue are at the establishment level and are derived from the Importer Register Database.

    Release date: 2010-06-25

  • Articles and reports: 75F0002M2010002
    Description:

    This report compares the aggregate income estimates as published by four different statistical programs. The System of National Accounts provides a portrait of economic activity at the macro economic level. The three other programs considered generate data from a micro-economic perspective: two are survey based (Census of Population and Survey of Labour and Income Dynamics) and the third derives all its results from administrative data (Annual Estimates for Census Families and Individuals). A review of the conceptual differences across the sources is followed by a discussion of coverage issues and processing discrepancies that might influence estimates. Aggregate income estimates with adjustments where possible to account for known conceptual differences are compared. Even allowing for statistical variability, some reconciliation issues remain. These are sometimes are explained by the use of different methodologies or data gathering instruments but they sometimes also remain unexplained.

    Release date: 2010-04-06

  • Articles and reports: 65-507-M2010008
    Description:

    This issue presents exporter statistics from 1993 to 2007 including the number of exporters, the value of their domestic exports by industry, exporter size, destination and province of residence as well as employment statistics of exporting establishments for the year 2007. The data in this issue are at the establishment level and are derived from the Exporter Register Database.

    Release date: 2010-01-27
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