Archived - Standard Geographical Classification (SGC) 2006 - Volume I, The Classification

Status

This standard was approved as a departmental standard on January 16, 2007.

2006 version of the SGC

The Standard Geographical Classification (SGC) is Statistics Canada's official classification of geographic areas in Canada. The SGC provides unique numeric codes for three types of geographic areas: provinces and territories, census divisions (counties, regional municipalities), and census subdivisions (municipalities). The three geographic areas are hierarchically related; a seven-digit code is used to show this relationship. In addition to the SGC units, metropolitan areas with their component census subdivisions and economic regions with their component census divisions are included.

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Concordances and documentation on changes

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Changes to SGC 2006

Reference Maps

The Standard Geographical Classification (SGC) is Statistics Canada's official classification of geographic areas in Canada. The SGC provides unique numeric codes for three types of geographic areas: provinces and territories, census divisions (counties, regional municipalities), and census subdivisions (municipalities). The three geographic areas are hierarchically related; a seven-digit code is used to show this relationship. In addition to the SGC units, metropolitan areas with their component census subdivisions are included.

More information

Five-Year Survival Estimates for Cancer using the Cohort Approach – Key Methodological Points

Survival after a diagnosis of cancer is affected by a variety of individual, tumour and healthcare system factors. Individual factors include sex, age at diagnosis, comorbidity, socioeconomic status and lifestyle; tumour-related factors include histological subtype, aggressiveness of the tumour, and spread of disease at diagnosis; and, healthcare system factors include the availability and quality of early detection, diagnostic and treatment services. Examined across cancer types and regions, survival estimates can be used to establish priority areas for improving prognosis.Note 1 Examined over time, and in conjunction with incidence and mortality trends, survival estimates can be used to monitor progress in cancer control.Note 2 Because of the importance of cancer survival, the Canadian Cancer Registry (CCR) regularly produces survival estimates using the cohort approach. Key aspects of the methodology employed are detailed below.

Survival analyses include all primary cancers, including multiple primaries for the same person. This approach is becoming standard practice.Note 3-5 However, cancers diagnosed through autopsy only or death certificate only (DCO) are excluded from survival analysis because the date of diagnosis, and thus survival time, is unknown. Since the “true” survival of cases registered as DCO is generally poorer than those registered by other means, the common approach of excluding DCOs may bias survival estimates upward, particularly in provinces/territories with proportionally more DCOs. The magnitude of such bias, however, is generally minor.Note 6

The vital status of a person with cancer is determined through linkage with the Canadian Vital Statistics Death Database and information reported by provincial/territorial cancer registries (PTCRs). Deaths reported by PTCRs but not confirmed by linkage are included in survival analyses using the date of death submitted by PTCRs. Survival time is calculated as the number of days between the date of diagnosis and date of death or date of last follow-up (whichever is earliest). For the small percentage of persons missing month and/or day of diagnosis or death, the survival time is estimatedNote 7; however, decedents with an unknown year of death are excluded from survival analyses.

Survival analyses are performed using publicly available SAS programs to which minor adaptations are made.Note 8 The standard five-year observation time for each individual is split into multiple observations, one for each interval of follow-up time. Three month intervals are used for the first year of follow-up and six month intervals for the remaining four years for a total of 12 intervals. Since the employed actuarial life table method assumes deaths are evenly distributed within an interval, more intervals are used in the first year of follow-up because mortality is often highest and most unevenly distributed during the first year after a cancer diagnosis. With the exception of cases previously excluded because they were diagnosed through autopsy only or DCO, persons with the same date of diagnosis and death are assigned one day of survival because the SAS program automatically excludes cases with zero days of survival. Survival estimates are then calculated at discrete points in follow-up by taking the product of the interval-specific (conditional) survival estimates within the follow-up period.

Expected survival proportions are derived from sex- and province/territory-specific annual life tables by applying the Ederer II approach.Note 9 Due to small populations, only abridged life tables are produced for Prince Edward Island and the three territories. Using methods suggested by Dickman et al.Note 10, abridged life tables are expanded to complete life tables using the abridged and complete life tables for Canada. Since abridged life tables only extend to age 99 years, expected survival proportions for age 100 to 109 years are drawn from complete Canadian life tables.

Five-year observed survival is the percentage of people surviving five-years after cancer diagnosis. Five-year relative survival ratios are estimated as the ratio of the observed survival of the group diagnosed with cancer to the expected survival for the corresponding general population of the same age, sex, province of residence, and time period. In theory, relative survival ratios greater than 100% indicate that the observed survival of people with cancer is better than that expected in a comparable group from the general population. In these instances, it could be that the persons diagnosed with cancer experienced lower mortality from other causes of death because of a greater than usual interaction with the healthcare system. However, estimates of relative survival greater than 100% should be interpreted with caution as several other factors may be at play including random variation in the observed number of deaths, failure to register some cancer deaths, and imprecision in the estimation of expected survival.

As an indication of the level of statistical uncertainty in survival estimates, confidence intervals formed from standard errors estimated using Greenwood's methodNote 11 are provided. To avoid implausible lower limits less than zero and/or upper limits greater than one for observed survival estimates, asymmetric confidence intervals based on the log (-log) transformation are constructed. Relative survival ratio confidence limits are then derived by dividing the observed survival limits by the corresponding expected survival proportion.

Because survival estimates vary with age and the age distribution of cancer cases can vary over time and between geographic areas, it is usually preferable to use age-standardized survival estimates to compare survival over time, across provinces, or between a province and Canada as a whole. Age-standardized survival estimates are interpretable as the survival estimate that would have occurred if the age distribution of the cancer group under study had been the same as that of the standard population. Age-standardized estimates are calculated using the direct method. Specifically, age-specific survival estimates for a given cancer are weighted to the age distribution of persons diagnosed with that cancer over a recent, relatively long period with the age categories used in the weighting being dependent on the cancer under study. Such an approach has the advantage of producing age-standardized survival estimates that are similar to non-standardized estimates.Note 12 Specifics regarding the standard population used and age categories employed are generally detailed in the various publications released by Statistics Canada. Confidence intervals for age-standardized relative survival ratios are formed by multiplying the corresponding age-standardized observed survival lower and upper limits by the ratio of the age-standardized relative survival ratio to the age-standardized observed survival.

Notes

Mathematical Statistics (MA) — Recruitment and development program

Recruitment - Mathematical Statisticians

The Mathematical Statisticians group is not launching a recruitment campaign at this time. Future opportunities will be shared on our website. We encourage you to visit our page for updates or sign up for email notifications through jobs.gc.ca.

Consult the links below for general information about the position and the application process.

The work of a Mathematical Statistician

The work of a Mathematical Statistician

At Statistics Canada, we produce and interpret a high volume of statistical information. We sample, collect, acquire, clean, correct, combine and analyze data to explain statistical information related to many aspects of Canada's economy and society. We produce statistics by conducting censuses every five years and by conducting numerous surveys, but also by exploiting data coming from a very broad range of data sources. We develop and use innovative solutions including machine learning and big data, state-of-the-art statistical theories and leading-edge statistical methods.

Statistics Canada is currently undertaking a significant transformation. Outcomes of this transformation will be an agency that is responsive to emerging data needs, increases the statistical literacy of Canadians and facilitates the responsible use of data for decision making. Innovative statistical methods are now more than ever essential to our success. A very knowledgeable, talented and diversified workforce is at the core of this transformation and Mathematical Statisticians play a key role.

Mathematical Statisticians apply, adapt and develop mathematical, statistical or survey methods to practical problems. They explore and adopt sophisticated methods to integrate and transform alternate data sources into statistical information. Their work is crucial to Statistics Canada. The quality of data outputs and the costs of operations are heavily dependent on the methodology used.

As a mathematical statistician, your main duties will consist of designing, implementing and evaluating statistical methods related to the production of official statistics. This could include work on surveys, work on research projects in various areas related to statistical methods, or work on new methods such as integrating data from a variety of existing sources or adopting new methods to analyze data. Mathematical Statisticians can also be involved in projects related to the combination of classic and leading edge statistical methods, including experimentation with machine learning, artificial intelligence techniques, non-probabilistic sampling, micro simulation and modeled/synthetic data. Mathematical Statisticians face a wide range of theoretical and practical statistical challenges!

Statistics Canada projects are normally developed through multidisciplinary project teams. Such teams can include experts from various area: subject-matter (e.g., economists, sociologists, geographers), survey operations, systems development and methodology (mathematical statisticians). This structure requires mathematical statisticians to acquire some knowledge of the client area in order to determine and meet its methodological needs.

Within a team, the Mathematical Statistician brings his or her expertise, experience and a critical, analytical mind to the area of statistical and survey methods. In the multidisciplinary project structure, he or she is primarily a service provider. The work of a Mathematical Statistician is highly diversified and requires creativity and adaptability. Individual Mathematical Statisticians usually work on several projects or activities at the same time. Each project is a new challenge; ready-made solutions in the literature can rarely be directly applied. To design and implement effective, scientifically sound methodology, a Mathematical Statistician must always maintain a good balance of skills in analytical and empirical research and operational work. The majority of Mathematical Statisticians provide methodological support services while some of them are also involved in research.

Research

Like any organization striving to be the best in its field, Statistics Canada places great emphasis on research. The organization has a long and rich tradition of research in the area of statistical methods. In particular, methodological research focuses on cutting-edge ways to produce reliable statistics at a lower cost.

Statistics Canada provides the environment and support that enable Mathematical Statisticians to deal with all types of research problems, whether they are associated with a specific project, or are more general in nature.

Mathematical Statisticians regularly conduct theoretical studies and empirical simulations to support the methodological services they provide to project teams. They also carry out research on a variety of subjects related to statistical methods, such as spatial and temporal estimation, non-sampling variance, outlier detection, benchmarking, interpolation and calendarization, longitudinal data analysis, and time series. Initially, research could make up only a small part of the duties of a mathematical statistician. However, it could become a major part of his/her duties depending on his/her experience and interests.

Results of mathematical statisticians' research projects may be presented at relevant conferences and published in technical journals. One of these is Statistics Canada's own internationally renowned journal, Survey Methodology.

To foster and promote research, Statistics Canada has established an external fellowship program. In addition, Statistics Canada is actively involved in joint research projects with universities and with statistical agencies in other countries.

Work environment

As a new employee, you will work closely with a more experienced Mathematical Statistician which will allow you to gain valuable experience that will enhance your professional skills.

Statistics Canada is committed to offering its employees a modern and flexible workplace. A great importance is placed on the well-being of employees. We have numerous programs and facilities designed for the benefit of employees. Health and safety, respect and fairness, flexible work arrangements, a sense of belonging and recognition and workplace wellness are at the heart of our organizational culture.

Training and development

Training and development

Statistics Canada gives high priority to human resource training and development. Employees are encouraged to develop their interests and are supported throughout their career. Statistics Canada offers a complete, well-organized development program in both official languages.

Our statistical training program is large, varied and includes courses or other learning activities of high quality. In the current modernization context at Statistics Canada, mathematical-statisticians must maintain and develop their capacities related to traditional survey methods, while making room for leading-edge methods, data integration and data science.

One of the goals of our training and development program is to build a culture of productive learning. The courses in the classic classroom format are only one element among many of our training tools, that also include self-directed, informal, and hands on training.

In-house courses

A number of courses on statistics and survey methodology are offered on a regular basis by guest instructors or experienced Statistics Canada employees. The courses cover both classical theory and the results of recent research. To provide technical and professional support, a complete range of courses is also offered on other subjects as varied as informatics, project management, employee supervision and presentation skills.

All new employees also participate in a two-week, full-time course called Survey Skills Exploration Course. Participants work in teams to design a sample survey on a predetermined socio-economic topic thereby increasing their awareness of the policies, principles, complexities, and interrelationships inherent in the design of a statistical survey. This practical training is complemented by classroom sessions that provide additional knowledge on survey methods and procedures.

Seminars, Conferences, and Publications

Mathematical statisticians are encouraged to present the results of their work at seminars and at relevant conferences, and to submit articles to technical journals. In addition to publishing the journal Survey Methodology, Statistics Canada holds an annual symposium on a topical theme related to statistical methods.

University education

Statistics Canada encourages employees to continue their professional development by taking academic courses relevant to their job. Three universities in the Ottawa-Gatineau area allow employees to improve their knowledge. As well as regular courses offered by local universities, there are programs customized for Statistics Canada personnel. Furthermore, on occasion, Statistics Canada grants education leave to employees. These employees have the possibility of full-time education leave to pursue an additional university degree in statistics or a related field.

Pay rates

Pay rates

Generally speaking, all candidates are hired at the MA -2 level. The starting salary of a mathematical statistician is $67,476Footnote *. After 16 to 24 months experience at Statistics Canada, the salary reaches the first step of the MA-3 level. Annual pay increments then take place within the MA-3 level until the maximum salary is reached.

MA pay rates Footnote *
Level Position Promotion Pay rate
MA-2 MethodologistFootnote 1 Recruitment $67,476 to $80,814
MA-3 Methodologist PromotedFootnote 2 from MA-2 typically after 16 to 24 months $82,148 to $96,779
MA-4 Senior Methodologist Selection process $98,091 to $114,403
MA-5 Senior Methodologist Selection process $114,914 to $130,485
MA-6 Section Chief Selection process $128,014 to $144,531
MA-7 Assistant Director Selection process $140,171 to $156,872
Footnote *

Effective October 1st, 2024.

Return to footnote * referrer

Footnote 1

Mathematical statisticians are called 'methodologists' at Statistics Canada.

Return to first footnote 1 referrer

Footnote 2

These promotions are based on performance evaluation.

Return to first footnote 2 referrer

A registered pension plan, a dental care plan, a health care plan, a disability insurance plan, and life insurance are included in the benefits of the employees of the federal public service. As a new employee, you are entitled every year to 20 days of vacation leave, 15 days of sick leave, 5 days of leave for family-related responsibilities and 2 days of leave for a personal reason. Maternity/parental leave and up to 5 years of leave without pay for childcare and eldercare are also available.

Who can apply

Who can apply

Persons residing in Canada and Canadian citizens residing abroad. Preference will be given to veterans, Canadian citizens and permanent residents.

Application process

Application process

Step 1: Applications are online through the Public Service Commission website (Government of Canada jobs).

  • Provide the following information:
    • your résumé;
    • your grades for courses already taken at a recognized post-secondary institution (with complete codes and titles);
    • a list of courses that you are taking or will be taking at a recognized post-secondary institution during this academic year (with complete codes and titles).

Step 2: Write the test.

Step 3: Successful candidates will be invited to an interview.

Upon request, you must be able to provide the following documents:

  • a copy of your official transcripts from recognized post-secondary institutions;
  • proof of Canadian equivalency if you have a foreign degree or degrees.
Qualifications and other requirements

Qualifications and other requirements

Candidates must be able to demonstrate the following:

  • A degree from a recognized post-secondary institution with specialization in:
    1. mathematics, statistics or operational research or
    2. one of the physical, life or social sciences, combined with an acceptable number of courses (normally 15 one-term courses/ approximately 45 credits) in mathematics, statistics or operational research at the level of a recognized post-secondary institution.
  • Application of mathematical or statistical theories and techniques (including but not limited to probability theory and the distribution of random variables, hypothesis testing, analysis of variance, regression analysis, data analysis).
  • Application of mathematical, statistical or survey methods and concepts (including but not limited to questionnaire design, sample design, estimation).
  • Demonstrating integrity and respect (acting with transparency and fairness).
  • Thinking things through (exercising sound judgment and obtaining relevant facts before making decisions).
  • Working effectively with others (understanding their colleagues' roles, responsibilities and workloads, and balancing their own needs with those of other team members).
  • Showing initiative and being action-oriented (accepting responsibilities and putting forward ideas and opinions).
  • Ability to communicate effectively in writing in English or French.
Frequently asked questions

Frequently asked questions

Visit our Frequently asked questions.

Suggested readings

Suggested readings

In English

  • Cochran, W.G. (1977), Sampling Techniques, John Wiley & Sons
  • Govindarajulu, Z. (1999), Elements of Sampling Theory and Methods, Prentice Hall
  • Hansen, M., Hurwitz, W. and Madow, W. (1953), Sample Survey Methods and Theory, John Wiley and Sons
  • Kish, L. (1965), Survey Sampling, John Wiley & Sons
  • Levy, P.S. and Lemeshow, S. (1999), Sampling of Populations: Methods and Applications, John Wiley & Sons
  • Lohr, S.L. (1999), Sampling : Design and Analysis, Duxbury Press
  • Raj, D. and Chandhok, P. (1998), Sample Survey Theory, Narosa Publishing House
  • Rao, P.S.R.S. (2000), Sampling Methodologies With Applications, Chapman and Hall
  • Sarndal, C.E., Swensson, B. and Wretman, J. (1992), Model-Assisted Survey Sampling, Springer-Verlag
  • Satin, A. & Shastry, W. (1993), Survey Sampling: A Non-mathematical guide, 2nd edition, Statistics Canada, catalogue no . 12-602E
  • Statistics Canada (2003), Survey methods and practices, Statistics Canada, catalogue no . 12-587-XPE
  • Thompson, M.E. (1997), Theory of Sample Surveys, Chapman and Hall
  • Thompson, S.K. (1992), Sampling, John Wiley & Sons

In French

  • Ardilly, P. (1994), Les techniques de Sondage, Technip
  • Brossier, G. et Dussaix, A.-M. éd . (1999), Enquêtes et sondages, Méthodes, modèles, applications, nouvelles approches, Dunod
  • Morin, H. (1992) Théorie de l'échantillonnage, Les Presses de l'Université Laval
  • Satin, A. & Shastry, W. (1993), L'échantillonnage - Un guide non mathématique, 2ième édition, Statistique Canada, 12-602F au catalogue.
  • Statistique Canada (2003), Méthodes et pratiques d'enquête, Statistique Canada, 12-587-XPF au catalogue.
  • Tillé, Y. (2001), Théorie des sondages, Échantillonnage et estimation en populations finies, Dunod
Examples of questions for the written test for Mathematical Statisticians

Examples of questions for the written test for Mathematical Statisticians

The written test is evaluating knowledge AND ability to communicate in writing. It consists of two parts. Part A contains one question to test writing ability. Part B tests knowledge and contains multiple choice questions, fill-in-the-blank questions and an open question. There is no break period between the two parts of the test.

Examples of questions similar to those found on the test are given below.

Please note that tests from previous years are not available.

Part A - Writing Ability

Example 1
Prepare a letter of approximately 200 to 300 words to the director of recruitment for Statistics Canada in which you explain how your training, work experience and interpersonal skills make you a strong candidate for a position as a mathematical statistician.

Example 2
In 2002 and 2007, public health officials conducted a survey on the lifestyle choices of members of your community. The following table shows an extract of the official results of that survey:

Survey on the lifestyle choices of members of your community
Year Population (Number of Adults) Estimated number of "smoking" adults Estimated number of adults with "hypertension" Estimated number of "smoking adults with "hypertension"
2007 5,000 300 350 250
2002 4,000 400 400 200

As a journalist involved in community affairs, you have followed this story closely from the beginning. Therefore, your editor-in-chief has asked you to write an article for your newspaper which explains the survey results to your readers.

Please write this article in 200 to 300 words.

Part B - Knowledge

Probability and Statistics

1. In a batch of 10 items, we wish to extract a sample of 3 without replacement. How many different samples can we extract?

Answer: 10! / (7!*3!) = 10*9*8 / (3*2*1) = 120

2. The difference between the parameter we wish to estimate and the expected value of its estimator is __________.

Answer: the bias

3. Let X and Y be independent random variables. Suppose the respective expected values are E(X) = 8 and E(Y) = 3 and the respective variances are V(X) = 9 and V(Y) = 6. Let Z be defined as Z = 2X – 3Y +5. Based on these data, the value of E(Z) is _____ and the value of V(Z) is _____.

Answer: 12 and 90

4. Which of the following statements about the X2 (Chi-square) distribution is always false?

  1. The X2 distribution is asymmetrical.
  2. The variance of a random variable having a X2 distribution is twice its mean.
  3. If X1 and X2 are two independent random variables with a X2 distribution with n1 and n2 degrees of freedom respectively, then the variable Y = X1 + X2 has an F (Fisher) distribution with n1 and n2 degrees of freedom.
  4. If X1 , …, Xn are independent random variables having a normal distribution N(0,1), then X12 +…+ Xn2 has a X2 distribution with n degrees of freedom.
  5. The X2 distribution is dependent only on a single parameter.

Answer: C

Sampling

5. Single stage cluster sampling is more precise than simple random sampling when the ___________ is negative.

Answer: intra-cluster correlation

6. In order to estimate the total for a variable of interest, a simple random sample without replacement of size N/4 from a population of size N is sought. After some thought, it is decided that a simple random sample without replacement of size N/2, instead, will be drawn from the same population. By what factor is the variance of this estimate reduced with this increased sample size?

Answer: 3

Mathematics

7. The inverse of the matrix X = 5 2 5 4 - 1 is ___________.

Answer: X - 1 = 1 5 1 22 5 22 2 11 - 1 11 or X - 1 = 1 110 1 22 2 55 - 1 55

Data Analysis

8. The primary goal of principal component analysis is to:

  1. Divide a set of multivariate observations into classes.
  2. Assign a particular multivariate observation to one of several classes.
  3. Characterize the correlation structure between two sets of variables by replacing them by two smaller sets of variables which are highly correlated.
  4. Find the variables among a set of predictor variables that are the best predictors of a set of variables of interest.
  5. Explain the variability in a large set of variables by replacing it by a smaller set of transformed variables that explains a large portion of the total variability.

Answer: E

Open Question

9. A basic question in planning a sample survey is the size of the sample that is required. In your opinion, what factors should be considered when determining the size of the sample and how does each one affect the sample size?

Testimonials

Testimonials

"Statistics Canada is a warm, supportive workplace where you can learn and grow as a data science professional. Through the wide range of projects and available training, there are many opportunities to develop and apply data science and machine learning methods."

Angela Wang-Lin, BMath, University of Waterloo
MA-02, 2021 recruit

"Statistics Canada has a wonderful workplace culture that has allowed me to develop my skills as a methodologist in a dynamic and welcoming atmosphere. The people at Statistics Canada challenge and support each other as producers of quality information, lifelong learners and dedicated professionals."

Patricia Judd, MSc, Memorial University of Newfoundland
MA-03, 2016 recruit

"At Statistics Canada, my projects allow me to work on many steps of the survey process using state-of-the-art statistical methods. Furthermore, it's easy to achieve a balance between my work and my personal life. I have access to flexible hours which gives me the opportunity to participate in various activities outside of work."

Émilie Mayer, BSc, Laurentian University
MA-04, 2014 recruit

"I've always had varied interests and skills: should I become an author, teacher or mathematician? I discovered that I could do all of that at StatCan, and even more! Not only have I become an expert in implementing the Bootstrap in surveys, but I also provide training on related technical subjects both at the Agency and externally."

Claude Girard, MSc, Université du Québec
MA-05, 1998 recruit

"I love my job at Statistics Canada! I have the opportunity to work with really knowledgeable peers on a variety of interesting and innovative projects. And all this while continuing my training in statistics and enjoying a great work life balance!"

Matei Mireuta, PhD, McGill University
MA-05, 2016 recruit

"Working at Statistics Canada meets all my needs: I use what I have studied to work directly for the interest of Canadians and society, in a pleasant and healthy work environment. In addition, I can pursue research and international collaboration initiatives, which has allowed me to participate in numerous conferences and to win the International Association for Official Statistics prize for young statisticians in 2020."

Kenza Sallier, MSc, Université de Montréal
MA-05, 2017 recruit

"I was glad to find a job that allows me to use all my skills acquired through my years in university. Innovative projects, excellent working conditions, plenty of opportunities for advancement… All this and I get to work with a dynamic group of people! I could not ask for better."

Chi Wai Yeung, BSc, University of British Columbia
MA-05, 2005 recruit

"I enjoy very much the research and development aspects of my daily work that allow me to apply skills learned in university to prominent and innovative projects. Statistics Canada is an employer that also promotes wellness and active living at the workplace. I just love to come to work every day!"

Shuai Zhang, PhD, University of Alberta
MA-05, 2013 recruit

"As a mathematical statistician, I have daily opportunities to work on diverse statistical challenges, both theoretical and applied, alongside many talented individuals. As a working mother, Statistics Canada allows me the flexibility to raise my family while continuing to research new and exciting areas of statistics, all while connecting with statistical colleagues around the world."

Karelyn Davis, PhD, Carleton University
MA-06, 2006 recruit

"The training offered at Statistics Canada has allowed me to keep learning since my first day on the job — in a wide range of areas including my second language and supervising skills as well as statistics and computer programming."

Steven Thomas, BSc, Memorial University of Newfoundland
MA-06, 1997 recruit

"The MA stream at Statistics Canada has given me not just a job, but a career. From junior to senior, I have been able to choose my path and work on projects that both interest and challenge me. I feel Statistics Canada has really invested in my development, even while starting a family."

Beatrice Baribeau, BMath, University of Waterloo
MA-07, 2004 recruit

Contact our recruitment team

Contact our recruitment team

Note that if you require help with the on-line application process, you must contact the Public Service Commission of Canada at 1-888-780-4444.

Contact us at statcan.marecruitment-marecrutement.statcan@statcan.gc.ca.

Legacy Content

2011 Census of Agriculture

Archived information

Archived information is provided for reference, research or recordkeeping purposes. It is not subject to the Government of Canada Web Standards and has not been altered or updated since it was archived. Please "contact us" to request a format other than those available.

Date modified:
Legacy Content

Releases

Archived information

Archived information is provided for reference, research or recordkeeping purposes. It is not subject to the Government of Canada Web Standards and has not been altered or updated since it was archived. Please "contact us" to request a format other than those available.

Data products
Description Geography level Release date
Farm and farm operator data: All farm and farm operator variables for 2011 and 2006 to the census division level. Only 2011 data will be published for the census consolidated subdivisions. Canada, province, territory, census agricultural region, census division and census consolidated subdivision May 10, 2012
Selected historical farm and operator data from the Census of Agriculture: Available without charge in CANSIM: Tables 004-0001 to 004-0017. Canada and province December 10, 2012
Agriculture–National Household Survey linkage data: A socioeconomic overview of the farm population available without charge in CANSIM: Tables 004-0100 to 004-0129. Canada and province November 27, 2013
Reference products
Description Geography level Release date
Reference maps: The reference maps provide the geographic boundaries, codes and names for all geographic areas appearing in data tables for the 2011 Census of Agriculture. Canada (excluding the territories), province, census agricultural region, census division and census consolidated subdivision May 10, 2012
Geography products
Description Geography level Release date
2011 Census agricultural regions boundary file and reference guide: A cartographic boundary file that delineates census agricultural regions, the subprovincial geographic areas created for disseminating agriculture statistics. Canada (excluding the territories), province and census agricultural region May 10, 2012
Agricultural ecumene boundary file and reference guide: A boundary file that delineates areas of significant agricultural activity in Canada as indicated by the 2011 Census of Agriculture. This file is generalized for small-scale mapping. Canada (excluding the territories), province and census division August 2012
Analytical products
Description Geography level Release date
Canadian Agriculture at a Glance: Short, analytical articles on the agriculture sector accompanied by charts, tables, maps and full-colour photos. All available geographic areas as analysis requires Planned dates:
February 18, 2014
March 18, 2014
April 22, 2014
May 29, 2014
July 29, 2014
August 26, 2014
October 28, 2014
Custom products and services
Description Geography level Release date
Custom products and services using client-defined data combinations from the 2011 Census of Agriculture farm and operator databases. Census of Agriculture standard geographic areas and user-defined areas (subject to confidentiality) May 10, 2012
Custom products and services from the census geographic component database. Census of Agriculture standard geographic areas and user-defined areas (subject to confidentiality) Fall 2012
Custom products and services from the Agriculture–Population database. Census of Agriculture standard geographic areas and user-defined areas (subject to confidentiality) November 27, 2013
Custom products and services from the historical databases. Census of Agriculture standard geographic areas and user-defined areas (subject to confidentiality) Available anytime

Contact information: Census of Agriculture, Data and Subject-Matter Consulting, 1-800-236-1136, 613-951-1090 or STATCAN.infostats-infostats.STATCAN@canada.ca.

Date modified:

Archived - Annual Capital Expenditures Survey Preliminary Estimate for 2014 and Intentions for 2015

Integrated Business Statistics Program (IBSP)

Reporting Guide

This guide is designed to assist you as you complete the Annual Capital Expenditures Survey

Preliminary Estimate for 2014 and Intentions for 2015. If you need more information, please call the Statistics Canada Help Line at the number below.

Help Line: 1-877-604-7828 or 1-800-972-9692

Your answers are confidential.

Statistics Canada is prohibited by law from releasing any information it collects which could identify any person, business, or organization, unless consent has been given by the respondent or as permitted by the Statistics Act.

Table of contents

Data-sharing agreements
Record linkages
Reporting period information
Definition
Industry characteristics

Data sharing Agreements

To reduce respondent burden, Statistics Canada has entered into data-sharing agreements with provincial and territorial statistical agencies and other government organizations, which have agreed to keep the data confidential and use them only for statistical purposes. Statistics Canada will only share data from this survey with those organizations that have demonstrated a requirement to use the data.

 

Section 11 of the Statistics Act provides for the sharing of information with provincial and territorial statistical agencies that meet certain conditions. These agencies must have the legislative authority to collect the same information, on a mandatory basis, and the legislation must provide substantially the same provisions for confidentiality and penalties for disclosure of confidential information as the Statistics Act. Because these agencies have the legal authority to compel businesses to provide the same information, consent is not requested and businesses may not object to the sharing of the data.

For this survey, there are Section 11 agreements with the provincial and territorial statistical agencies of Newfoundland and Labrador, Nova Scotia, New Brunswick, Quebec, Ontario, Manitoba, Saskatchewan, Alberta, British Columbia, and the Yukon.

The shared data will be limited to information pertaining to business establishments located within the jurisdiction of the respective province or territory.

Section 12 of the Statistics Act provides for the sharing of information with federal, provincial or territorial government organizations. Under Section 12, you may refuse to share your information with any of these organizations by writing a letter of objection to the Chief Statistician and returning it with the completed questionnaire. Please specify the organizations with which you do not want to share your data.

For this survey, there are Section 12 agreements with the statistical agencies of Prince Edward Island, the Northwest Territories and Nunavut as well as Natural Resources Canada and Environment Canada.

For agreements with provincial and territorial government organizations, the shared data will be limited to information pertaining to business establishments located within the jurisdiction of the respective province or territory.

Record linkages

To enhance the data from this survey, Statistics Canada may combine it with information from other surveys or from administrative sources.

Reporting period information

For the purpose of this survey, please report information for your 12 month fiscal period for which the Final day occurs on or between April 1, 2014 - March 31, 2015 for 2014 and April 1, 2015 - March 31, 2016 for 2015.

May 2013 - April 2014 (04/14)
June 2013 - May 2014 (05/14)
July 2013 - June 2014 (06/14)
Aug. 2013 - July 2014 (07/114)
Sept. 2013 - Aug. 2014 (08/14)
Oct. 2013 - Sept. 2014 (09/14)
Nov. 2013 - Oct. 2014 (10/14)
Dec. 2013 - Nov. 2014 (11/14)
Jan. 2014 - Dec. 2014 (12/14)
Feb. 2014 - Jan. 2015 (01/15)
March 2014 - Feb. 2015 (02/15)
April 2014 - March 2015 (03/15)

Here are other examples of fiscal periods that fall within the required dates:

  • September 18, 2014 to September 15, 2015 (e.g., floating year-end)
  • June 1, 2014 to December 31, 2015 (e.g., a newly opened business)

Definitions

What are Capital Expenditures?

Capital Expenditures are the gross expenditures on fixed assets for use in the operations of your organization or for lease or rent to others.

Include:

  • Cost of all new buildings, engineering, machinery and equipment which normally have a life of more than one year and are charged to fixed asset accounts
  • Modifications, acquisitions and major renovations
  • Capital costs such as feasibility studies, architectural, legal, installation and engineering fees
  • Subsidies
  • Capitalized interest charges on loans with which capital projects are financed
  • Work done by own labour force
  • Additions to work in progress

How to Treat Leases

Include:

  • assets acquired as a lessee through either a capital or financial lease;
  • assets acquired for lease to others as an operating lease.

Exclude

  • assets acquired for lease to others, either as a capital or financial lease.

Information for Government Departments

The following applies to government departments only:

Include

  • all capital expenditures without taking into account the capitalization threshold of your department;
  • Grants and/or subsidies to outside entities (e.g., municipalities, agencies, institutions or businesses) are not to be included;
  • Departments are requested to exclude from reported figures budgetary items pertaining to any departmental agency and proprietary crown corporation as they are surveyed separately;
  • Federal departments are to report expenditures paid for by the department, regardless of which department awarded the contract;
  • Provincial departments are to include any capital expenditures on construction (exclude outlays for land) or machinery and equipment, for use in Canada, financed from revolving funds, loans attached to revolving funds, other loans, the Consolidated Revenue Fund or special accounts.

Industry characteristics

Report the value of the projects expected to be put in place during the year. Include the gross expenditures (including subsidies) on fixed assets for use in the operations of your organization or for lease or rent to others. Include all capital costs such as feasibility studies, architectural, legal, installation and engineering fees as well as work done by your own labour force.

New Assets, Renovation, Retrofit (Column 1), includes both existing assets being upgraded and acquisitions of new assets

The following explanations are Not applicable to government departments:

  • include - Capitalized interest charges on loans with which capital projects are financed
  • exclude - If you are capitalizing your leased fixed assets as a lessee in accordance with the Canadian Institute of Chartered Accountants’ recommendations, please exclude the total of the capitalization of such leases during the year from capital expenditures

Purchase of Used Canadian Assets (Column 2)

Definition: Used fixed assets may be defined as existing buildings, structures or machinery and equipment which have been previously used by another organization in Canada that you have acquired during the time period being reported on this questionnaire.

Explanation: The objective of our survey is to measure gross annual new acquisitions to fixed assets separately from the acquisition of gross annual used fixed assets in the Canadian economy as a whole.

Hence, the acquisition of a used fixed Canadian asset should be reported separately since such acquisitions would not change the aggregates of our domestic inventory of fixed assets, it would simply mean a transfer of assets within Canada from one organization to another.

Imports of used assets, on the other hand, should be included with the new assets (Column 1) because they are newly acquired for the Canadian economy.

Work in Progress:
Work in progress represents accumulated costs since the start of capital projects which are intended to be capitalized upon completion.

Typically capital investment includes any expenditure on an asset in which its’ life is greater than one year. Capital items charged to operating expenses are defined as expenditures which could have been capitalized as part of the fixed assets, but for various reasons, have been charged to current expenses.

Land
Capital expenditures for land should include all costs associated with the purchase of the land that are not amortized or depreciated.

Residential Construction
Report the value of residential structures including the housing portion of multi-purpose projects and of townsites with the following Exceptions:

  • buildings that have accommodation units without self-contained or exclusive use of bathroom and kitchen facilities (e.g., some student and senior citizen residences)
  • the non-residential portion of multi-purpose projects and of townsites
  • associated expenditures on services

The exceptions should be included in the appropriate construction (e.g., non-residential) asset.

Non-Residential Building Construction (excluding land purchase and residential construction)
Report the total cost incurred during the year of building and engineering construction (contract and by own employees) whether for your own use or rent to others. Include also:

  • the cost of demolition of buildings, land servicing and of site-preparation
  • leasehold and land improvements
  • townsite facilities, such as streets, sewers, stores, schools

Non-residential engineering construction

Report the total cost incurred during the year of engineering construction (contract and by own employees) whether for your own use or rent to others. Include also:

  • the cost of demolition of buildings, land servicing and of site-preparation
  • oil or gas pipelines, including pipe and installation costs
  • all preconstruction planning and design costs such as engineer and consulting fees and any materials supplied to construction contractors for installation, etc.
  • communication engineering, including transmission support structures, cables and lines, etc.
  • electric power engineering, including wind and solar plants, nuclear production plants, power distribution networks, etc.

Machinery and Equipment
Report total cost incurred during the year of all new machinery, whether for your own use or for lease or rent to others. Any capitalized tooling should also be included. Include progress payments paid out before delivery in the year in which such payments are made. Receipts from the sale of your own fixed assets or allowance for scrap or trade-in should not be deducted from your total capital expenditures. Any balance owing or holdbacks should be reported in the year the cost is incurred.

Include:

  • automobiles, trucks, professional and scientific equipment, office and store furniture and appliances
  • computers (hardware and software), broadcasting, telecommunication and other information and communication technology equipment
  • motors, generators, transformers
  • any capitalized tooling expenses
  • progress payments paid out before delivery in the year in which such payments are made
  • any balance owing or holdbacks should be reported in the year the cost is incurred

Software

Capital expenditures for software should include all costs associated with the purchase of software.

Include:

  • Pre-packaged software
  • Custom software developed in-house/own account
  • Custom software design and development, contracted out

Research and Development

Research and development (R&D) comprise creative work undertaken on a systematic basis in order to increase the stock of knowledge, including knowledge of man, culture and society, and the use of this stock of knowledge to devise new applications. Basic and applied research is experimental or theoretical work undertaken primarily to acquire new knowledge of the underlying foundation of phenomenon and observable facts. Experimental development is systematic work, drawing on existing knowledge gained from research and/or practical experience, which is directed to producing new materials, products or devices, installing new process, systems and services, or improving substantially those already produced or installed.

Capacity Utilization (Manufacturing Companies only)

Capacity use (utilization) is calculated by taking the actual production level for an establishment (production can be measured in dollars or units) and dividing it by the establishment’s capacity production level.

Capacity production is defined as maximum production attainable under normal conditions.

To calculate capacity production, follow the establishment’s operating practices with respect to the use of productive facilities, overtime, workshifts, holidays, etc. For example, if your plant normally operates with one shift of eight hours a day five days a week then capacity will be calculated subject to these conditions and not on the hypothetical case of three shifts a day, seven days a week.

Example:
Plant “A” normally operates one shift a day, five days a week and given this operating pattern capacity production is 150 units of product “A” for the month. In that month actual production of product “A” was 125 units. The capacity utilization rate for plant “A” is (125/150) * 100 = 83%

Now suppose that plant “A” had to open a shift on Saturdays to satisfy an abnormal surge in demand for product “A”. Given this plant’s normal operating schedule, capacity production remains at 150 units. Actual production hasgrown to 160 units, so capacity utilization would be (160/150) * 100 = 107%.

Annual Capital Expenditures Survey Preliminary Estimate for 2015 and Intentions for 2016

Integrated Business Statistics Program (IBSP)

Reporting Guide

This guide is designed to assist you as you complete the Annual Capital Expenditures Survey

Preliminary Estimate for 2015 and Intentions for 2016. If you need more information, please call the Statistics Canada Help Line at the number below.

Help Line: 1-877-604-7828 or 1-800-972-9692

Your answers are confidential.

Statistics Canada is prohibited by law from releasing any information it collects which could identify any person, business, or organization, unless consent has been given by the respondent or as permitted by the Statistics Act.

Table of contents

Data-sharing agreements
Record linkages
Reporting period information
Definition
Industry characteristics

Data sharing Agreements

To reduce respondent burden, Statistics Canada has entered into data-sharing agreements with provincial and territorial statistical agencies and other government organizations, which have agreed to keep the data confidential and use them only for statistical purposes. Statistics Canada will only share data from this survey with those organizations that have demonstrated a requirement to use the data.

Section 11 of the Statistics Act provides for the sharing of information with provincial and territorial statistical agencies that meet certain conditions. These agencies must have the legislative authority to collect the same information, on a mandatory basis, and the legislation must provide substantially the same provisions for confidentiality and penalties for disclosure of confidential information as the Statistics Act. Because these agencies have the legal authority to compel businesses to provide the same information, consent is not requested and businesses may not object to the sharing of the data.

For this survey, there are Section 11 agreements with the provincial and territorial statistical agencies of Newfoundland and Labrador, Nova Scotia, New Brunswick, Quebec, Ontario, Manitoba, Saskatchewan, Alberta, British Columbia, and the Yukon.

The shared data will be limited to information pertaining to business establishments located within the jurisdiction of the respective province or territory.

Section 12 of the Statistics Act provides for the sharing of information with federal, provincial or territorial government organizations. Under Section 12, you may refuse to share your information with any of these organizations by writing a letter of objection to the Chief Statistician and returning it with the completed questionnaire. Please specify the organizations with which you do not want to share your data and mailing it to the following address: and mailing it to the following address:

Chief Statistician of Canada
Statistics Canada
Care of Roland Boudreau
Enterprise Statistics Division
150 Tunney's Pasture Driveway
Ottawa, ON
K1A 0T6

You may also contact us by email at Roland.Boudreau@statcan.gc.ca or by fax at 613-951-6583.For this survey, there are Section 12 agreements with the statistical agencies of Prince Edward Island, the Northwest Territories and Nunavut as well as National Engery Board, Natural Resources Canada and Environment Canada.

For agreements with provincial and territorial government organizations, the shared data will be limited to information pertaining to business establishments located within the jurisdiction of the respective province or territory.

Record linkages

To enhance the data from this survey, Statistics Canada may combine it with information from other surveys or from administrative sources.

Reporting period information

For the purpose of this survey, please report information for your 12 month fiscal period for which the Final day occurs on or between April 1, 2015 - March 31, 2016 for 2015 and April 1, 2016- March 31, 2017 for 2016.

May 2014 - April 2015 (04/15)
June 2014 - May 2015 (05/15)
July 2014 - June 2015 (06/15)
Aug. 2014 - July 2015 (07/15)
Sept. 2014 - Aug. 2015 (08/15)
Oct. 2014 - Sept. 2015 (09/15)
Nov. 2014 - Oct. 2014 (10/15)
Dec. 2014 - Nov. 2014 (11/15)
Jan. 2015 - Dec. 2014 (12/15)
Feb. 2015 - Jan. 2016 (01/16)
March 2015 - Feb. 2016 (02/16)
April 2015 - March 2016 (03/16)

Here are other examples of fiscal periods that fall within the required dates:

  • September 18, 2014 to September 15, 2015 (e.g., floating year-end)
  • June 1, 2015 to December 31, 2015 (e.g., a newly opened business)

Definitions

What are Capital Expenditures?

Capital Expenditures are the gross expenditures on fixed assets for use in the operations of your organization or for lease or rent to others.

Include:

  • Cost of all new buildings, engineering, machinery and equipment which normally have a life of more than one year and are charged to fixed asset accounts
  • Modifications, acquisitions and major renovations
  • Capital costs such as feasibility studies, architectural, legal, installation and engineering fees
  • Subsidies
  • Capitalized interest charges on loans with which capital projects are financed
  • Work done by own labour force
  • Additions to work in progress

How to Treat Leases

Include:

  • assets acquired as a lessee through either a capital or financial lease;
  • assets acquired for lease to others as an operating lease.

Exclude

  • assets acquired for lease to others, either as a capital or financial lease.

Information for Government Departments

The following applies to government departments only:

Include

  • all capital expenditures without taking into account the capitalization threshold of your department;
  • Grants and/or subsidies to outside entities (e.g., municipalities, agencies, institutions or businesses) are not to be included;
  • Departments are requested to exclude from reported figures budgetary items pertaining to any departmental agency and proprietary crown corporation as they are surveyed separately;
  • Federal departments are to report expenditures paid for by the department, regardless of which department awarded the contract;
  • Provincial departments are to include any capital expenditures on construction (exclude outlays for land) or machinery and equipment, for use in Canada, financed from revolving funds, loans attached to revolving funds, other loans, the Consolidated Revenue Fund or special accounts.

Industry characteristics

Report the value of the projects expected to be put in place during the year. Include the gross expenditures (including subsidies) on fixed assets for use in the operations of your organization or for lease or rent to others. Include all capital costs such as feasibility studies, architectural, legal, installation and engineering fees as well as work done by your own labour force.

New Assets, Renovation, Retrofit (Column 1), includes both existing assets being upgraded and acquisitions of new assets

The following explanations are Not applicable to government departments:

  • include - Capitalized interest charges on loans with which capital projects are financed
  • exclude - If you are capitalizing your leased fixed assets as a lessee in accordance with the Canadian Institute of Chartered Accountants' recommendations, please exclude the total of the capitalization of such leases during the year from capital expenditures

Purchase of Used Canadian Assets (Column 2)

Definition: Used fixed assets may be defined as existing buildings, structures or machinery and equipment which have been previously used by another organization in Canada that you have acquired during the time period being reported on this questionnaire.

Explanation: The objective of our survey is to measure gross annual new acquisitions to fixed assets separately from the acquisition of gross annual used fixed assets in the Canadian economy as a whole.

Hence, the acquisition of a used fixed Canadian asset should be reported separately since such acquisitions would not change the aggregates of our domestic inventory of fixed assets, it would simply mean a transfer of assets within Canada from one organization to another.

Imports of used assets, on the other hand, should be included with the new assets (Column 1) because they are newly acquired for the Canadian economy.

Work in Progress:
Work in progress represents accumulated costs since the start of capital projects which are intended to be capitalized upon completion.

Typically capital investment includes any expenditure on an asset in which its' life is greater than one year. Capital items charged to operating expenses are defined as expenditures which could have been capitalized as part of the fixed assets, but for various reasons, have been charged to current expenses.

Land
Capital expenditures for land should include all costs associated with the purchase of the land that are not amortized or depreciated.

Residential Construction
Report the value of residential structures including the housing portion of multi-purpose projects and of townsites with the following Exceptions:

  • buildings that have accommodation units without self-contained or exclusive use of bathroom and kitchen facilities (e.g., some student and senior citizen residences)
  • the non-residential portion of multi-purpose projects and of townsites
  • associated expenditures on services

The exceptions should be included in the appropriate construction (e.g., non-residential) asset.

Non-Residential Building Construction (excluding land purchase and residential construction)
Report the total cost incurred during the year of building and engineering construction (contract and by own employees) whether for your own use or rent to others. Include also:

  • the cost of demolition of buildings, land servicing and of site-preparation
  • leasehold and land improvements
  • townsite facilities, such as streets, sewers, stores, schools

Non-residential engineering construction

Report the total cost incurred during the year of engineering construction (contract and by own employees) whether for your own use or rent to others. Include also:

  • the cost of demolition of buildings, land servicing and of site-preparation
  • oil or gas pipelines, including pipe and installation costs
  • all preconstruction planning and design costs such as engineer and consulting fees and any materials supplied to construction contractors for installation, etc.
  • communication engineering, including transmission support structures, cables and lines, etc.
  • electric power engineering, including wind and solar plants, nuclear production plants, power distribution networks, etc.

Machinery and Equipment
Report total cost incurred during the year of all new machinery, whether for your own use or for lease or rent to others. Any capitalized tooling should also be included. Include progress payments paid out before delivery in the year in which such payments are made. Receipts from the sale of your own fixed assets or allowance for scrap or trade-in should not be deducted from your total capital expenditures. Any balance owing or holdbacks should be reported in the year the cost is incurred.

Include:

  • automobiles, trucks, professional and scientific equipment, office and store furniture and appliances
  • computers (hardware and software), broadcasting, telecommunication and other information and communication technology equipment
  • motors, generators, transformers
  • any capitalized tooling expenses
  • progress payments paid out before delivery in the year in which such payments are made
  • any balance owing or holdbacks should be reported in the year the cost is incurred

Software

Capital expenditures for software should include all costs associated with the purchase of software.

Include:

  • Pre-packaged software
  • Custom software developed in-house/own account
  • Custom software design and development, contracted out

Research and Development

Research and development (R&D) comprise creative work undertaken on a systematic basis in order to increase the stock of knowledge, including knowledge of man, culture and society, and the use of this stock of knowledge to devise new applications. Basic and applied research is experimental or theoretical work undertaken primarily to acquire new knowledge of the underlying foundation of phenomenon and observable facts. Experimental development is systematic work, drawing on existing knowledge gained from research and/or practical experience, which is directed to producing new materials, products or devices, installing new process, systems and services, or improving substantially those already produced or installed.

Capacity Utilization (Manufacturing Companies only)

Capacity use (utilization) is calculated by taking the actual production level for an establishment (production can be measured in dollars or units) and dividing it by the establishment's capacity production level.

Capacity production is defined as maximum production attainable under normal conditions.

To calculate capacity production, follow the establishment's operating practices with respect to the use of productive facilities, overtime, workshifts, holidays, etc. For example, if your plant normally operates with one shift of eight hours a day five days a week then capacity will be calculated subject to these conditions and not on the hypothetical case of three shifts a day, seven days a week.

Example:
Plant “A” normally operates one shift a day, five days a week and given this operating pattern capacity production is 150 units of product “A” for the month. In that month actual production of product “A” was 125 units. The capacity utilization rate for plant “A” is (125/150) * 100 = 83%

Now suppose that plant “A” had to open a shift on Saturdays to satisfy an abnormal surge in demand for product “A”. Given this plant's normal operating schedule, capacity production remains at 150 units. Actual production hasgrown to 160 units, so capacity utilization would be (160/150) * 100 = 107%.

Concepts, definitions and data quality

The Monthly Survey of Manufacturing (MSM) publishes statistical series for manufacturers – sales of goods manufactured, inventories, unfilled orders and new orders. The values of these characteristics represent current monthly estimates of the more complete Annual Survey of Manufactures and Logging (ASML) data.

The MSM is a sample survey of approximately 10,500 Canadian manufacturing establishments, which are categorized into over 220 industries. Industries are classified according to the 2012 North American Industrial Classification System (NAICS). Seasonally adjusted series are available for the main aggregates.

An establishment comprises the smallest manufacturing unit capable of reporting the variables of interest. Data collected by the MSM provides a current ‘snapshot’ of sales of goods manufactured values by the Canadian manufacturing sector, enabling analysis of the state of the Canadian economy, as well as the health of specific industries in the short- to medium-term. The information is used by both private and public sectors including Statistics Canada, federal and provincial governments, business and trade entities, international and domestic non-governmental organizations, consultants, the business press and private citizens. The data are used for analyzing market share, trends, corporate benchmarking, policy analysis, program development, tax policy and trade policy.

1. Sales of goods manufactured

Sales of goods manufactured (formerly shipments of goods manufactured) are defined as the value of goods manufactured by establishments that have been shipped to a customer. Sales of goods manufactured exclude any wholesaling activity, and any revenues from the rental of equipment or the sale of electricity. Note that in practice, some respondents report financial transactions rather than payments for work done. Sales of goods manufactured are available by 3-digit NAICS, for Canada and broken down by province.

For the aerospace product and parts, and shipbuilding industries, the value of production is used instead of sales of goods manufactured. This value is calculated by adjusting monthly sales of goods manufactured by the monthly change in inventories of goods / work in process and finished goods manufactured. Inventories of raw materials and components are not included in the calculation since production tries to measure "work done" during the month. This is done in order to reduce distortions caused by the sales of goods manufactured of high value items as completed sales.

2. Inventories

Measurement of component values of inventory is important for economic studies as well as for derivation of production values. Respondents are asked to report their book values (at cost) of raw materials and components, any goods / work in process, and finished goods manufactured inventories separately. In some cases, respondents estimate a total inventory figure, which is allocated on the basis of proportions reported on the ASML. Inventory levels are calculated on a Canada‑wide basis, not by province.

3. Orders

a) Unfilled Orders

Unfilled orders represent a backlog or stock of orders that will generate future sales of goods manufactured assuming that they are not cancelled. As with inventories, unfilled orders and new orders levels are calculated on a Canada‑wide basis, not by province.

The MSM produces estimates for unfilled orders for all industries except for those industries where orders are customarily filled from stocks on hand and order books are not generally maintained. In the case of the aircraft companies, options to purchase are not treated as orders until they are entered into the accounting system.

b) New Orders

New orders represent current demand for manufactured products. Estimates of new orders are derived from sales of goods manufactured and unfilled orders data. All sales of goods manufactured within a month result from either an order received during the month or at some earlier time. New orders can be calculated as the sum of sales of goods manufactured adjusted for the monthly change in unfilled orders.

4. Non-Durable / Durable goods

a) Non-durable goods industries include:

Food (NAICS 311),
Beverage and Tobacco Products (312),
Textile Mills (313),
Textile Product Mills (314),
Clothing (315),
Leather and Allied Products (316),
Paper (322),
Printing and Related Support Activities (323),
Petroleum and Coal Products (324),
Chemicals (325) and
Plastic and Rubber Products (326).

b) Durable goods industries include:

Wood Products (NAICS 321),
Non-Metallic Mineral Products (327),
Primary Metals (331),
Fabricated Metal Products (332),
Machinery (333),
Computer and Electronic Products (334),
Electrical Equipment, Appliance and Components (335),
Transportation Equipment (336),
Furniture and Related Products (337) and
Miscellaneous Manufacturing (339).

Survey design and methodology

Concept Review

In 2007, the MSM terminology was updated to be Charter of Accounts (COA) compliant. With the August 2007 reference month release the MSM has harmonized its concepts to the ASML. The variable formerly called “Shipments” is now called “Sales of goods manufactured”. As well, minor modifications were made to the inventory component names. The definitions have not been modified nor has the information collected from the survey.

Methodology

The latest sample design incorporates the 2012 North American Industrial Classification Standard (NAICS). Stratification is done by province with equal quality requirements for each province. Large size units are selected with certainty and small units are selected with a probability based on the desired quality of the estimate within a cell.

The estimation system generates estimates using the NAICS. The estimates will also continue to be reconciled to the ASML. Provincial estimates for all variables will be produced. A measure of quality (CV) will also be produced.

Components of the Survey Design

Target Population and Sampling Frame

Statistics Canada’s business register provides the sampling frame for the MSM. The target population for the MSM consists of all statistical establishments on the business register that are classified to the manufacturing sector (by NAICS). The sampling frame for the MSM is determined from the target population after subtracting establishments that represent the bottom 5% of the total manufacturing sales of goods manufactured estimate for each province. These establishments were excluded from the frame so that the sample size could be reduced without significantly affecting quality.

The Sample

The MSM sample is a probability sample comprised of approximately 10,500 establishments. A new sample was chosen in the autumn of 2012, followed by a six-month parallel run (from reference month September 2012 to reference month February 2013). The refreshed sample officially became the new sample of the MSM effective in December 2012.

This marks the first process of refreshing the MSM sample since 2007. The objective of the process is to keep the sample frame as fresh and up-to date as possible. All establishments in the sample are refreshed to take into account changes in their value of sales of goods manufactured, the removal of dead units from the sample and some small units are rotated out of the GST-based portion of the sample, while others are rotated into the sample.

Prior to selection, the sampling frame is subdivided into industry-province cells. For the most part, NAICS codes were used. Depending upon the number of establishments within each cell, further subdivisions were made to group similar sized establishments’ together (called stratum). An establishment’s size was based on its most recently available annual sales of goods manufactured or sales value.

Each industry by province cell has a ‘take-all’ stratum composed of establishments sampled each month with certainty. This ‘take-all’ stratum is composed of establishments that are the largest statistical enterprises, and have the largest impact on estimates within a particular industry by province cell. These large statistical enterprises comprise 45% of the national manufacturing sales of goods manufactured estimates.

Each industry by province cell can have at most three ‘take-some’ strata. Not all establishments within these stratums need to be sampled with certainty. A random sample is drawn from the remaining strata. The responses from these sampled establishments are weighted according to the inverse of their probability of selection. In cells with take-some portion, a minimum sample of 10 was imposed to increase stability.

The take-none portion of the sample is now estimated from administrative data and as a result, 100% of the sample universe is covered. Estimation of the take-none portion also improved efficiency as a larger take-none portion was delineated and the sample could be used more efficiently on the smaller sampled portion of the frame.

Data Collection

Only a subset of the sample establishments is sent out for data collection. For the remaining units, information from administrative data files is used as a source for deriving sales of goods manufactured data. For those establishments that are surveyed, data collection, data capture, preliminary edit and follow-up of non-respondents are all performed in Statistics Canada regional offices. Sampled establishments are contacted by mail or telephone according to the preference of the respondent. Data capture and preliminary editing are performed simultaneously to ensure the validity of the data.

In some cases, combined reports are received from enterprises or companies with more than one establishment in the sample where respondents prefer not to provide individual establishment reports. Businesses, which do not report or whose reports contain errors, are followed up immediately.

Use of Administrative Data

Managing response burden is an ongoing challenge for Statistics Canada. In an attempt to alleviate response burden, especially for small businesses, Statistics Canada has been investigating various alternatives to survey taking. Administrative data files are a rich source of information for business data and Statistics Canada is working at mining this rich data source to its full potential. As such, effective the August 2004 reference month, the MSM reduced the number of simple establishments in the sample that are surveyed directly and instead, derives sales of goods manufactured data for these establishments from Goods and Services Tax (GST) files using a statistical model. The model accounts for the difference between sales of goods manufactured (reported to MSM) and sales (reported for GST purposes) as well as the time lag between the reference period of the survey and the reference period of the GST file.

Effective from the January 2013 reference month, the MSM derives sales of goods manufactured data for non-incorporated establishments (e.g. the self employed) from T1 files. A statistical model is used to transform T1 data into sales of goods manufactured data.

In conjunction with the most recent sample, effective December 2012, approximately 2,800 simple establishments were selected to represent the GST portion of the sample.

Inventories and unfilled orders estimates for establishments where sales of goods manufactured are GST-based are derived using the MSM’s imputation system. The imputation system applies to the previous month values, the month-to-month and year-to-year changes in similar firms which are surveyed. With the most recent sample, the eligibility rules for GST-based establishments were refined to have more GST-based establishments in industries that typically carry fewer inventories. This way the impact of the GST-based establishments which require the estimation of inventories, will be kept to a minimum.

Detailed information on the methodology used for modelling sales of goods manufactured from administrative data sources can be found in the ‘Monthly Survey of Manufacturing: Use of Administrative Data’ (Catalogue no. 31-533-XIE) document.

Data quality

Statistical Edit and Imputation

Data are analyzed within each industry-province cell. Extreme values are listed for inspection by the magnitude of the deviation from average behavior. Respondents are contacted to verify extreme values. Records that fail statistical edits are considered outliers and are not used for imputation.

Values are imputed for the non-responses, for establishments that do not report or only partially complete the survey form. A number of imputation methods are used depending on the variable requiring treatment. Methods include using industry-province cell trends, historical responses, or reference to the ASML. Following imputation, the MSM staff performs a final verification of the responses that have been imputed.

Revisions

In conjunction with preliminary estimates for the current month, estimates for the previous three months are revised to account for any late returns. Data are revised when late responses are received or if an incorrect response was recorded earlier.

Estimation

Estimates are produced based on returns from a sample of manufacturing establishments in combination with administrative data for a portion of the smallest establishments. The survey sample includes 100% coverage of the large manufacturing establishments in each industry by province, plus partial coverage of the medium and small-sized firms. Combined reports from multi-unit companies are pro-rated among their establishments and adjustments for progress billings reflect revenues received for work done on large item contracts. Approximately 2,800 of the sampled medium and small-sized establishments are not sent questionnaires, but instead their sales of goods manufactured are derived by using revenue from the GST files. The portion not represented through sampling – the take-none portion - consist of establishments below specified thresholds in each province and industry. Sub-totals for this portion are also derived based on their revenues.

Industry values of sales of goods manufactured, inventories and unfilled orders are estimated by first weighting the survey responses, the values derived from the GST files and the imputations by the number of establishments each represents. The weighted estimates are then summed with the take-none portion. While sales of goods manufactured estimates are produced by province, no geographical detail is compiled for inventories and orders since many firms cannot report book values of these items monthly.

Benchmarking

Up to and including 2003, the MSM was benchmarked to the Annual Survey of Manufactures and Logging (ASML). Benchmarking was the regular review of the MSM estimates in the context of the annual data provided by the ASML. Benchmarking re-aligned the annualized level of the MSM based on the latest verified annual data provided by the ASML.

Significant research by Statistics Canada in 2006-2007 was completed on whether the benchmark process should be maintained. The conclusion was that benchmarking of the MSM estimates to the ASML should be discontinued. With the refreshing of the MSM sample in 2007, it was determined that benchmarking would no longer be required (retroactive to 2004) because the MSM now accurately represented 100% of the sample universe. Data confrontation will continue between MSM and ASML to resolve potential discrepancies.

As of the December 2012 reference month, a new sample was introduced. It is standard practice that every few years the sample is refreshed to ensure that the survey frame is up to date with births, deaths and other changes in the population. The refreshed sample is linked at the detailed level to prevent data breaks and to ensure the continuity of time series. It is designed to be more representative of the manufacturing industry at both the national and provincial levels.

Data confrontation and reconciliation

Each year, during the period when the Annual Survey of Manufactures and Logging section set their annual estimates, the MSM section works with the ASML section to confront and reconcile significant differences in values between the fiscal ASML and the annual MSM at the strata and industry level.

The purpose of this exercise of data reconciliation is to highlight and resolve significant differences between the two surveys and to assist in minimizing the differences in the micro-data between the MSM and the ASML.

Sampling and Non-sampling Errors

The statistics in this publication are estimates derived from a sample survey and, as such, can be subject to errors. The following material is provided to assist the reader in the interpretation of the estimates published.

Estimates derived from a sample survey are subject to a number of different kinds of errors. These errors can be broken down into two major types: sampling and non-sampling.

1. Sampling Errors

Sampling errors are an inherent risk of sample surveys. They result from the difference between the value of a variable if it is randomly sampled and its value if a census is taken (or the average of all possible random values). These errors are present because observations are made only on a sample and not on the entire population.

The sampling error depends on factors such as the size of the sample, variability in the population, sampling design and method of estimation. For example, for a given sample size, the sampling error will depend on the stratification procedure employed, allocation of the sample, choice of the sampling units and method of selection. (Further, even for the same sampling design, we can make different calculations to arrive at the most efficient estimation procedure.) The most important feature of probability sampling is that the sampling error can be measured from the sample itself.

2. Non-sampling Errors

Non-sampling errors result from a systematic flaw in the structure of the data-collection procedure or design of any or all variables examined. They create a difference between the value of a variable obtained by sampling or census methods and the variable’s true value. These errors are present whether a sample or a complete census of the population is taken. Non-sampling errors can be attributed to one or more of the following sources:

a) Coverage error: This error can result from incomplete listing and inadequate coverage of the population of interest.

b) Data response error: This error may be due to questionnaire design, the characteristics of a question, inability or unwillingness of the respondent to provide correct information, misinterpretation of the questions or definitional problems.

c) Non-response error: Some respondents may refuse to answer questions, some may be unable to respond, and others may be too late in responding. Data for the non-responding units can be imputed using the data from responding units or some earlier data on the non-responding units if available.

The extent of error due to imputation is usually unknown and is very much dependent on any characteristic differences between the respondent group and the non-respondent group in the survey. This error generally decreases with increases in the response rate and attempts are therefore made to obtain as high a response rate as possible.

d) Processing error: These errors may occur at various stages of processing such as coding, data entry, verification, editing, weighting, and tabulation, etc. Non-sampling errors are difficult to measure. More important, non-sampling errors require control at the level at which their presence does not impair the use and interpretation of the results.

Measures have been undertaken to minimize the non-sampling errors. For example, units have been defined in a most precise manner and the most up-to-date listings have been used. Questionnaires have been carefully designed to minimize different interpretations. As well, detailed acceptance testing has been carried out for the different stages of editing and processing and every possible effort has been made to reduce the non-response rate as well as the response burden.

Measures of Sampling and Non-sampling Errors

1. Sampling Error Measures

The sample used in this survey is one of a large number of all possible samples of the same size that could have been selected using the same sample design under the same general conditions. If it was possible that each one of these samples could be surveyed under essentially the same conditions, with an estimate calculated from each sample, it would be expected that the sample estimates would differ from each other.

The average estimate derived from all these possible sample estimates is termed the expected value. The expected value can also be expressed as the value that would be obtained if a census enumeration were taken under identical conditions of collection and processing. An estimate calculated from a sample survey is said to be precise if it is near the expected value.

Sample estimates may differ from this expected value of the estimates. However, since the estimate is based on a probability sample, the variability of the sample estimate with respect to its expected value can be measured. The variance of an estimate is a measure of the precision of the sample estimate and is defined as the average, over all possible samples, of the squared difference of the estimate from its expected value.

The standard error is a measure of precision in absolute terms. The coefficient of variation (CV), defined as the standard error divided by the sample estimate, is a measure of precision in relative terms. For comparison purposes, one may more readily compare the sampling error of one estimate to the sampling error of another estimate by using the coefficient of variation.

In this publication, the coefficient of variation is used to measure the sampling error of the estimates. However, since the coefficient of variation published for this survey is calculated from the responses of individual units, it also measures some non-sampling error.

The formula used to calculate the published coefficients of variation (CV) in Table 1 is:

CV(X) = S(X)/X

where X denotes the estimate and S(X) denotes the standard error of X.

In this publication, the coefficient of variation is expressed as a percentage.

Confidence intervals can be constructed around the estimate using the estimate and the coefficient of variation. Thus, for our sample, it is possible to state with a given level of confidence that the expected value will fall within the confidence interval constructed around the estimate. For example, if an estimate of $12,000,000 has a coefficient of variation of 10%, the standard error will be $1,200,000 or the estimate multiplied by the coefficient of variation. It can then be stated with 68% confidence that the expected value will fall within the interval whose length equals the standard deviation about the estimate, i.e., between $10,800,000 and $13,200,000. Alternatively, it can be stated with 95% confidence that the expected value will fall within the interval whose length equals two standard deviations about the estimate, i.e., between $9,600,000 and $14,400,000.

Text table 1 contains the national level CVs, expressed as a percentage, for all manufacturing for the MSM characteristics. For CVs at other aggregate levels, contact the Dissemination and Frame Services Section at (613) 951-9497, toll free: 1-866-873-8789 or by e-mail at manufact@statcan.gc.ca.

Text table 1
National Level CVs by Characteristic
Table summary
This table displays the results of National Level CVs by Characteristic. The information is grouped by MONTH (appearing as row headers), Sales of goods manufactured, Raw materials and components inventories, Goods / work in process inventories, Finished goods manufactured inventories and Unfilled Orders, calculated using % units of measure (appearing as column headers).
MONTH Sales of goods manufactured Raw materials and components inventories Goods / work in process inventories Finished goods manufactured inventories Unfilled Orders
%
August 2013 0.49 0.90 0.99 0.98 0.81
September 2013 0.47 0.88 1.00 1.01 0.81
October 2013 0.47 0.86 0.93 0.97 0.75
November 2013 0.49 0.89 0.94 0.94 0.74
December 2013 0.49 0.89 0.97 0.98 0.71
January 2014 0.47 0.89 0.95 0.96 0.71
February 2014 0.45 0.94 0.95 0.96 0.62
March 2014 0.47 0.94 0.96 0.93 0.63
April 2014 0.50 0.92 0.95 0.94 0.64
May 2014 0.50 0.93 0.99 0.96 0.68
June 2014 0.51 0.90 1.03 0.95 0.72
July 2014 0.50 0.88 1.04 0.95 0.72
August 2014 0.51 0.92 1.00 0.96 0.70

2. Non-sampling Error Measures

The exact population value is aimed at or desired by both a sample survey as well as a census. We say the estimate is accurate if it is near this value. Although this value is desired, we cannot assume that the exact value of every unit in the population or sample can be obtained and processed without error. Any difference between the expected value and the exact population value is termed the bias. Systematic biases in the data cannot be measured by the probability measures of sampling error as previously described. The accuracy of a survey estimate is determined by the joint effect of sampling and non-sampling errors.

Sources of non-sampling error in the MSM include non-response error, imputation error and the error due to editing. To assist users in evaluating these errors, weighted rates are given in Text table 2. The following is an example of what is meant by a weighted rate. A cell with a sample of 20 units in which five respond for a particular month would have a response rate of 25%. If these five reporting units represented $8 million out of a total estimate of $10 million, the weighted response rate would be 80%.

The definitions for the weighted rates noted in Text table 2 follow. The weighted response and edited rate is the proportion of a characteristic’s total estimate that is based upon reported data and includes data that has been edited. The weighted imputation rate is the proportion of a characteristic’s total estimate that is based upon imputed data. The weighted GST data rate is the proportion of the characteristic’s total estimate that is derived from Goods and Services Tax files (GST files). The weighted take-none fraction rate is the proportion of the characteristic’s total estimate modeled from administrative data.

Text table 2 contains the weighted rates for each of the characteristics at the national level for all of manufacturing. In the table, the rates are expressed as percentages.

Text Table 2
National Weighted Rates by Source and Characteristic
Table summary
This table displays the results of National Weighted Rates by Source and Characteristic. The information is grouped by Characteristics (appearing as row headers), Data source, Response or edited, Imputed, GST data and Take-none fraction, calculated using % units of measure (appearing as column headers).
Characteristics Data source
Response or edited Imputed GST data Take-none fraction
%
Sales of goods manufactured 83.2 4.6 7.6 4.5
Raw materials and components 75.2 19.4 0.0 5.4
Goods / work in process 81.8 14.0 0.0 4.2
Finished goods manufactured 78.9 16.3 0.0 4.8
Unfilled Orders 90.2 6.3 0.0 3.5

Joint Interpretation of Measures of Error

The measure of non-response error as well as the coefficient of variation must be considered jointly to have an overview of the quality of the estimates. The lower the coefficient of variation and the higher the weighted response rate, the better will be the published estimate.

Seasonal Adjustment

Economic time series contain the elements essential to the description, explanation and forecasting of the behavior of an economic phenomenon. They are statistical records of the evolution of economic processes through time. In using time series to observe economic activity, economists and statisticians have identified four characteristic behavioral components: the long-term movement or trend, the cycle, the seasonal variations and the irregular fluctuations. These movements are caused by various economic, climatic or institutional factors. The seasonal variations occur periodically on a more or less regular basis over the course of a year. These variations occur as a result of seasonal changes in weather, statutory holidays and other events that occur at fairly regular intervals and thus have a significant impact on the rate of economic activity.

In the interest of accurately interpreting the fundamental evolution of an economic phenomenon and producing forecasts of superior quality, Statistics Canada uses the X12-ARIMA seasonal adjustment method to seasonally adjust its time series. This method minimizes the impact of seasonal variations on the series and essentially consists of adding one year of estimated raw data to the end of the original series before it is seasonally adjusted per se. The estimated data are derived from forecasts using ARIMA (Auto Regressive Integrated Moving Average) models of the Box-Jenkins type.

The X-12 program uses primarily a ratio-to-moving average method. It is used to smooth the modified series and obtain a preliminary estimate of the trend-cycle. It also calculates the ratios of the original series (fitted) to the estimates of the trend-cycle and estimates the seasonal factors from these ratios. The final seasonal factors are produced only after these operations have been repeated several times. The technique that is used essentially consists of first correcting the initial series for all sorts of undesirable effects, such as the trading-day and the Easter holiday effects, by a module called regARIMA. These effects are then estimated using regression models with ARIMA errors. The series can also be extrapolated for at least one year by using the model. Subsequently, the raw series, pre-adjusted and extrapolated if applicable, is seasonally adjusted by the X-12 method.

The procedures to determine the seasonal factors necessary to calculate the final seasonally adjusted data are executed every month. This approach ensures that the estimated seasonal factors are derived from an unadjusted series that includes all the available information about the series, i.e. the current month's unadjusted data as well as the previous month's revised unadjusted data.

While seasonal adjustment permits a better understanding of the underlying trend-cycle of a series, the seasonally adjusted series still contains an irregular component. Slight month-to-month variations in the seasonally adjusted series may be simple irregular movements. To get a better idea of the underlying trend, users should examine several months of the seasonally adjusted series.

The aggregated Canada level series are now seasonally adjusted directly, meaning that the seasonally adjusted totals are obtained via X12-ARIMA. Afterwards, these totals are used to reconcile the provincial total series which have been seasonally adjusted individually.

For other aggregated series, indirect seasonal adjustments are used. In other words, their seasonally adjusted totals are derived indirectly by the summation of the individually seasonally adjusted kinds of business.

Trend

A seasonally adjusted series may contain the effects of irregular influences and special circumstances and these can mask the trend. The short term trend shows the underlying direction in seasonally adjusted series by averaging across months, thus smoothing out the effects of irregular influences. The result is a more stable series. The trend for the last month may be subject to significant revision as values in future months are included in the averaging process.

Real manufacturing sales of goods manufactured, inventories, and orders

Changes in the values of the data reported by the Monthly Survey of Manufacturing (MSM) may be attributable to changes in their prices or to the quantities measured, or both. To study the activity of the manufacturing sector, it is often desirable to separate out the variations due to price changes from those of the quantities produced. This adjustment is known as deflation.

Deflation consists in dividing the values at current prices obtained from the survey by suitable price indexes in order to obtain estimates evaluated at the prices of a previous period, currently the year 2007. The resulting deflated values are said to be “at 2007 prices”. Note that the expression “at current prices” refer to the time the activity took place, not to the present time, nor to the time of compilation.

The deflated MSM estimates reflect the prices that prevailed in 2007. This is called the base year. The year 2007 was chosen as base year since it corresponds to that of the price indexes used in the deflation of the MSM estimates. Using the prices of a base year to measure current activity provides a representative measurement of the current volume of activity with respect to that base year. Current movements in the volume are appropriately reflected in the constant price measures only if the current relative importance of the industries is not very different from that in the base year.

The deflation of the MSM estimates is performed at a very fine industry detail, equivalent to the 6-digit industry classes of the North American Industry Classification System (NAICS). For each industry at this level of detail, the price indexes used are composite indexes which describe the price movements for the various groups of goods produced by that industry.

With very few exceptions the price indexes are weighted averages of the Industrial Product Price Indexes (IPPI). The weights are derived from the annual Canadian Input-Output tables and change from year to year. Since the Input-Output tables only become available with a delay of about two and a half years, the weights used for the most current years are based on the last available Input-Output tables.

The same price index is used to deflate sales of goods manufactured, new orders and unfilled orders of an industry. The weights used in the compilation of this price index are derived from the output tables, evaluated at producer’s prices. Producer prices reflect the prices of the goods at the gate of the manufacturing establishment and exclude such items as transportation charges, taxes on products, etc. The resulting price index for each industry thus reflects the output of the establishments in that industry.

The price indexes used for deflating the goods / work in process and the finished goods manufactured inventories of an industry are moving averages of the price index used for sales of goods manufactured. For goods / work in process inventories, the number of terms in the moving average corresponds to the duration of the production process. The duration is calculated as the average over the previous 48 months of the ratio of end of month goods / work in process inventories to the output of the industry, which is equal to sales of goods manufactured plus the changes in both goods / work in process and finished goods manufactured inventories.

For finished goods manufactured inventories, the number of terms in the moving average reflects the length of time a finished product remains in stock. This number, known as the inventory turnover period, is calculated as the average over the previous 48 months of the ratio of end-of-month finished goods manufactured inventory to sales of goods manufactured.

To deflate raw materials and components inventories, price indexes for raw materials consumption are obtained as weighted averages of the IPPIs. The weights used are derived from the input tables evaluated at purchaser’s prices, i.e. these prices include such elements as wholesaling margins, transportation charges, and taxes on products, etc. The resulting price index thus reflects the cost structure in raw materials and components for each industry.

The raw materials and components inventories are then deflated using a moving average of the price index for raw materials consumption. The number of terms in the moving average corresponds to the rate of consumption of raw materials. This rate is calculated as the average over the previous four years of the ratio of end-of-year raw materials and components inventories to the intermediate inputs of the industry.