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  • Articles and reports: 12-001-X201100111444
    Description:

    Data linkage is the act of bringing together records that are believed to belong to the same unit (e.g., person or business) from two or more files. It is a very common way to enhance dimensions such as time and breadth or depth of detail. Data linkage is often not an error-free process and can lead to linking a pair of records that do not belong to the same unit. There is an explosion of record linkage applications, yet there has been little work on assuring the quality of analyses using such linked files. Naively treating such a linked file as if it were linked without errors will, in general, lead to biased estimates. This paper develops a maximum likelihood estimator for contingency tables and logistic regression with incorrectly linked records. The estimation technique is simple and is implemented using the well-known EM algorithm. A well known method of linking records in the present context is probabilistic data linking. The paper demonstrates the effectiveness of the proposed estimators in an empirical study which uses probabilistic data linkage.

    Release date: 2011-06-29

  • Articles and reports: 12-001-X201100111445
    Description:

    In this paper we study small area estimation using area level models. We first consider the Fay-Herriot model (Fay and Herriot 1979) for the case of smoothed known sampling variances and the You-Chapman model (You and Chapman 2006) for the case of sampling variance modeling. Then we consider hierarchical Bayes (HB) spatial models that extend the Fay-Herriot and You-Chapman models by capturing both the geographically unstructured heterogeneity and spatial correlation effects among areas for local smoothing. The proposed models are implemented using the Gibbs sampling method for fully Bayesian inference. We apply the proposed models to the analysis of health survey data and make comparisons among the HB model-based estimates and direct design-based estimates. Our results have shown that the HB model-based estimates perform much better than the direct estimates. In addition, the proposed area level spatial models achieve smaller CVs than the Fay-Herriot and You-Chapman models, particularly for the areas with three or more neighbouring areas. Bayesian model comparison and model fit analysis are also presented.

    Release date: 2011-06-29

  • Articles and reports: 12-001-X201100111446
    Description:

    Small area estimation based on linear mixed models can be inefficient when the underlying relationships are non-linear. In this paper we introduce SAE techniques for variables that can be modelled linearly following a non-linear transformation. In particular, we extend the model-based direct estimator of Chandra and Chambers (2005, 2009) to data that are consistent with a linear mixed model in the logarithmic scale, using model calibration to define appropriate weights for use in this estimator. Our results show that the resulting transformation-based estimator is both efficient and robust with respect to the distribution of the random effects in the model. An application to business survey data demonstrates the satisfactory performance of the method.

    Release date: 2011-06-29

  • Articles and reports: 12-001-X201100111447
    Description:

    This paper introduces a R-package for the stratification of a survey population using a univariate stratification variable X and for the calculation of stratum sample sizes. Non iterative methods such as the cumulative root frequency method and the geometric stratum boundaries are implemented. Optimal designs, with stratum boundaries that minimize either the CV of the simple expansion estimator for a fixed sample size n or the n value for a fixed CV can be constructed. Two iterative algorithms are available to find the optimal stratum boundaries. The design can feature a user defined certainty stratum where all the units are sampled. Take-all and take-none strata can be included in the stratified design as they might lead to smaller sample sizes. The sample size calculations are based on the anticipated moments of the survey variable Y, given the stratification variable X. The package handles conditional distributions of Y given X that are either a heteroscedastic linear model, or a log-linear model. Stratum specific non-response can be accounted for in the design construction and in the sample size calculations.

    Release date: 2011-06-29

  • Articles and reports: 12-001-X201100111448
    Description:

    In two-phase sampling for stratification, the second-phase sample is selected by a stratified sample based on the information observed in the first-phase sample. We develop a replication-based bias adjusted variance estimator that extends the method of Kim, Navarro and Fuller (2006). The proposed method is also applicable when the first-phase sampling rate is not negligible and when second-phase sample selection is unequal probability Poisson sampling within each stratum. The proposed method can be extended to variance estimation for two-phase regression estimators. Results from a limited simulation study are presented.

    Release date: 2011-06-29

  • Articles and reports: 12-001-X201100111449
    Description:

    We analyze the statistical and economic efficiency of different designs of cluster surveys collected in two consecutive time periods, or waves. In an independent design, two cluster samples in two waves are taken independently from one another. In a cluster-panel design, the same clusters are used in both waves, but samples within clusters are taken independently in two time periods. In an observation-panel design, both clusters and observations are retained from one wave of data collection to another. By assuming a simple population structure, we derive design variances and costs of the surveys conducted according to these designs. We first consider a situation in which the interest lies in estimation of the change in the population mean between two time periods, and derive the optimal sample allocations for the three designs of interest. We then propose the utility maximization framework borrowed from microeconomics to illustrate a possible approach to the choice of the design that strives to optimize several variances simultaneously. Incorporating the contemporaneous means and their variances tends to shift the preferences from observation-panel towards simpler panel-cluster and independent designs if the panel mode of data collection is too expensive. We present numeric illustrations demonstrating how a survey designer may want to choose the efficient design given the population parameters and data collection cost.

    Release date: 2011-06-29

  • Articles and reports: 12-001-X201100111450
    Description:

    This paper examines the efficiency of the Horvitz-Thompson estimator from a systematic probability proportional to size (PPS) sample drawn from a randomly ordered list. In particular, the efficiency is compared with that of an ordinary ratio estimator. The theoretical results are confirmed empirically with of a simulation study using Dutch data from the Producer Price Index.

    Release date: 2011-06-29

  • Articles and reports: 12-001-X201100111451
    Description:

    In the calibration method proposed by Deville and Särndal (1992), the calibration equations take only exact estimates of auxiliary variable totals into account. This article examines other parameters besides totals for calibration. Parameters that are considered complex include the ratio, median or variance of auxiliary variables.

    Release date: 2011-06-29

  • Articles and reports: 75F0002M2011002
    Description:

    In order to provide a holographic or complete picture of low income, Statistics Canada uses three complementary low income lines: the Low Income Cut-offs (LICOs), the Low Income Measures (LIMs) and the Market Basket Measure (MBM). While the first two lines were developed by Statistics Canada, the MBM is based on concepts developed by Human Resources and Skill Development Canada. Though these measures differ from one another, they give a generally consistent picture of low income status over time. None of these measures is the best. Each contributes its own perspective and its own strengths to the study of low income, so that cumulatively, the three provide a better understanding of the phenomenon of low income as a whole. These measures are not measures of poverty, but strictly measures of low income.

    Release date: 2011-06-15

  • 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
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Analysis (196)

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  • Articles and reports: 12-001-X202300200014
    Description: Many things have been written about Jean-Claude Deville in tributes from the statistical community (see Tillé, 2022a; Tillé, 2022b; Christine, 2022; Ardilly, 2022; and Matei, 2022) and from the École nationale de la statistique et de l’administration économique (ENSAE) and the Société française de statistique. Pascal Ardilly, David Haziza, Pierre Lavallée and Yves Tillé provide an in-depth look at Jean-Claude Deville’s contributions to survey theory. To pay tribute to him, I would like to discuss Jean-Claude Deville’s contribution to the more day-to-day application of methodology for all the statisticians at the Institut national de la statistique et des études économiques (INSEE) and at the public statistics service. To do this, I will use my work experience, and particularly the four years (1992 to 1996) I spent working with him in the Statistical Methods Unit and the discussions we had thereafter, especially in the 2000s on the rolling census.
    Release date: 2024-01-03

  • Articles and reports: 82-003-X202301200002
    Description: The validity of survival estimates from cancer registry data depends, in part, on the identification of the deaths of deceased cancer patients. People whose deaths are missed seemingly live on forever and are informally referred to as “immortals”, and their presence in registry data can result in inflated survival estimates. This study assesses the issue of immortals in the Canadian Cancer Registry (CCR) using a recently proposed method that compares the survival of long-term survivors of cancers for which “statistical” cure has been reported with that of similar people from the general population.
    Release date: 2023-12-20

  • Articles and reports: 62F0014M2023005
    Description: This article presents data sources and methodology for the For-hire Motor Carrier Freight Services Price Index (FHMCFSPI). The FHMCFSPI measures the monthly and quarterly change in the price of shipping services provided by trucking companies in Canada. The index is an important indicator of economic activity within the truck transportation industry, as well as a tool that can be utilized by the industry for cost monitoring, contract assessment and benchmark comparisons.
    Release date: 2023-08-31

  • Articles and reports: 12-001-X202300100001
    Description: Recent work in survey domain estimation allows for estimation of population domain means under a priori assumptions expressed in terms of linear inequality constraints. For example, it might be known that the population means are non-decreasing along ordered domains. Imposing the constraints has been shown to provide estimators with smaller variance and tighter confidence intervals. In this paper we consider a formal test of the null hypothesis that all the constraints are binding, versus the alternative that at least one constraint is non-binding. The test of constant versus increasing domain means is a special case. The power of the test is substantially better than the test with the same null hypothesis and an unconstrained alternative. The new test is used with data from the National Survey of College Graduates, to show that salaries are positively related to the subject’s father’s educational level, across fields of study and over several years of cohorts.
    Release date: 2023-06-30

  • Articles and reports: 37-20-00012023005
    Description: This methodological document accompanies the infographic entitled “Students in private postsecondary education, 2020: Results of a feasibility study”. It describes the methodology and data limitations for the integration of the T2202 Tuition and Enrolment Certificate with the Census 2021 for the infographic. It also explores the coherence of the results across different data sources, namely the Postsecondary Student Information System (PSIS) and T1 Family File (T1FF), to validate the results. The data integration was possible due to the Education and Labour Market Longitudinal Platform (ELMLP).
    Release date: 2023-06-06

  • Articles and reports: 62F0014M2020016
    Description:

    A summary of methodological treatments as applied to the August 2020 CPI in response to the effects of the COVID-19 pandemic on price collection, price availability, and business closures.

    Release date: 2020-09-16

  • Articles and reports: 62F0014M2020015
    Description:

    This document describes the methodological details for the Commercial Rents Services Price Index (CRSPI). It includes information about the purpose of the index, data sources, the index estimation and aggregation methods.

    Release date: 2020-09-10

  • Articles and reports: 82-003-X202000300001
    Description:

    This study describes the characteristics of residential postal codes of the Canadian population using the 2016 Census and determines how frequently these postal codes are matched to one or more dissemination areas, a unit of census geography.

    Release date: 2020-06-17

  • Articles and reports: 92F0138M2019002
    Description:

    This working paper describes the preliminary 2021 census metropolitan areas and census agglomerations and is presented for user feedback. The paper briefly describes the changes to some of the census metropolitan areas and census agglomerations and includes tables and maps that list and illustrate these changes to their limits and to the component census subdivisions.

    Release date: 2019-11-13

  • Articles and reports: 62F0014M2019005
    Description:

    This document describes the updated methodology for Investment Banking Services Price Index (IBSPI).

    Release date: 2019-07-08
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