Mathematical Statistics (MA)

Post-Secondary Recruitment - Mathematical Statisticians

The 2019-2020 Mathematical Statisticians (MA) Post-Secondary Recruitment campaign will be launched on October 3, 2019. Apply online by October 23, 2019 at 11:59 pm, Pacific Time. This date is subject to change, so please consult the Public Service Commission website.

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

There's a Formula for Success too!

There's a formula for success too!
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 or informal training, such as 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 six-week full-time course called Survey Skills Development Course. Participants work in teams to design and conduct a complete sample survey on a predetermined socio-economic topic. Steps include negotiation of an agreement with the client, questionnaire design, sample design, data collection in the field, estimation, and analysis of the survey results and presentation of the conclusions. This practical training is complemented by classroom sessions.

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 $56,192Footnote *. 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 Post-secondary recruitment $56,192
MA-3 Methodologist PromotedFootnote 2 from MA-2 typically after 16 to 24 months $68,410 to $80,594
MA-4 Senior Methodologist Selection process $81,686 to $95,271
MA-5 Senior Methodologist Selection process $95,696 to $108,664
MA-6 Section Chief Selection process $106,606 to $120,361
MA-7 Assistant Director Selection process $116,729 to $130,638
Footnote *

Effective October 1st, 2017. Subject to review on October 1st, 2018.

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. Up to 52 weeks of 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 Canadian citizens.

Application process

Application process

Step 1: Apply online on the Government of Canada jobs website.

Select the mathematical statistician career choice. 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).
Register for the written test for mathematical statisticians on November 6, 2019 at 6:30 p.m. (local time).

Step 2: Write the test on November 6, 2019 at 6:30 p.m. (local time) at one of the various locations across Canada. Candidates must supply a photo ID at the exam.

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 20 one-term courses/ approximately 60 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).
  • Innovative thinking (recognizing when standard or conventional approaches will not work and making modifications).
  • 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

Visit our Suggested readings.

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 15 multiple choice questions, 15 fill-in-the-blank questions and 2 open questions. 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?

Recruitment campaign information sessions at university campuses

Recruitment campaign information sessions at university campuses

At the beginning of each recruitment campaign for mathematical statisticians at Statistics Canada, information sessions are held in several universities across the country. For the Fall 2019 campaign, consult the table below to obtain the list of universities visited.

Fall 2019 recruitment campaign
Province University Date Time Location
Newfoundland Memorial University of Newfoundland September 30, 2019 1:00 PM Room 3017,
Henrietta Harvey Building
Nova Scotia Dalhousie University October 1, 2019 1:30 PM Room 227,
Chase Building
New Brunswick University of New Brunswick (Fredericton) October 2, 2019 12:30 PM Room 307,
Tilley Building
Québec Concordia University October 2, 2019 3:00 PM Room LB 921-04,
SGW Campus
Laval University October 3, 2019 1:30 PM Room 2744,
Pouliot
McGill University October 2, 2019 12:00 PM Room 1024,
Burnside Hall
University of Montréal October 1, 2019 12:30 PM Room 6214,
André-Aisenstadt Hall
Université du Québec à Montréal September 30, 2019 12:30 PM Room 5115,
Pavillon Président-Kennedy
Université de Sherbrooke October 2, 2019 1:30 PM Room B6-3051,
Pavillon Irénée-Pinard
(Internship and placement service)
Ontario Carleton University October 4, 2019 10:30 AM Room 342,
Tory Building
University of Guelph October 1, 2019 11:30 AM Room 1511,
Summerlee Science Complex
McMaster University October 1, 2019 3:30 PM T13/107
University of Ottawa (English) October 8, 2019 1:30 PM STM 201
University of Ottawa (French) October 8, 2019 2:30 PM STM 201
Queen's University September 30, 2019 11:30 AM Room 225,
Jeffery Hall
University of Toronto October 3, 2019 11:00 AM Room 117,
Ramsey Wright building
University of Waterloo October 1, 2019 4:30 PM Room 1304,
Davis Centre
University of Windsor October 2, 2019 11:30 AM Joyce Entrepreneurship Centre,
Suite 100
Western University September 30, 2019 12:30 PM Room 204,
Middlesex College
York University October 2, 2019 3:00 PM N638 Ross
Manitoba University of Manitoba September 30, 2019 4:00 PM Room 111,
Armes Building
University of Winnipeg September 30, 2019 12:30 PM Room 1C16A,
Centennial Hall
Saskatchewan University of Saskatchewan October 1, 2019 10:30 AM ARTS 105
Alberta University of Alberta September 30, 2019 2:00 PM Room 239,
Central Academic Building (CAB)
University of Calgary October 1, 2019 11:00 AM Room 431,
Math Science building (MS)
British Columbia University of British Columbia October 2, 2019 10:00 AM Room 109,
West Mall Swing Space (SWNG)
Simon Fraser University October 3, 2019 11:30 AM Room B9200,
Shrum Science Centre
Testimonials

Testimonials

"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-02, 2016 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-02, 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-03, 2014 recruit

"Working among the largest group of mathematical statisticians in Canada, I am able to interact with and learn from experts in various domains on a daily basis. This, along with the encouraged rotation between positions and the myriad training opportunities, are just some of the ways that a job at Statistics Canada provides unparalleled opportunities for career development in survey statistics."

Jacob Doering, BSc, University of Ottawa,
MA-03, 2014 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-03, 2013 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-04, 2005 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-05, 2004 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, University of Québec
MA-05, 1998 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

"My plan by joining Statistics Canada was to gain some work experience in statistics and then re-evaluate my options. Once there, I discovered a variety of projects available to me, all in a stimulating work environment rich with professional development opportunities. I was quickly won over and never thought of leaving. Statistics Canada was the right choice!"

Francois Brisebois, MSc, Laval University
MA-07, 1994 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.

For additional information about a career as a mathematical statistician at Statistics Canada, or about the recruitment process, we invite you to attend our information sessions held across the country at the beginning of each recruitment campaign, or contact us at statcan.ma-recruitment-ma-recrutement.statcan@canada.ca.

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