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### Statistics

Statistics is the branch of modern applied mathematics which deals with the collection and analysis of data. Statistical methods are extensively used in Biology, Medicine, Health Sciences, Agriculture, Business, Economics, Engineering, and many other fields. Claims based on statistical arguments appear daily in the press, and it is difficult to assess these intelligently without some knowledge of statistical methods.

The statistician's first job is to determine what data to collect, and how to collect it so that it will be without bias or distortion. These problems are dealt with in the Design of Experiments and Sample Surveys. Statistical Inference is concerned with inferring what the population is like on the basis of a small amount of data (the sample). The link between population and sample is provided by Probability Theory, which forms an important part of the Statistics curriculum. Often the purpose of collecting data is to assist in reaching a decision, so the field of Decision Theory is also a part of Statistics.

Many other areas of pure and applied mathematics find applications in Statistics. Calculus and linear algebra are used extensively in the undergraduate program; abstract algebra, combinatorics, difference and differential equations, analysis, and measure theory are required in more advanced work. Most statistical analyses involve the computer, so a good background in computing is highly desirable.

##### Honours Statistics

In conjunction with the common degree requirements in Table I in "Degree Requirements", this program requires at least 26 math half-credits. A maximum of ten STAT half-credits at the 300- or 400-level may be included in the 40 half-credits presented for a degree. These overall requirements must include the Faculty core courses outlined in Table II in "Degree Requirements" and the following courses:

All of
STAT 330 Statistical Theory and Methods
STAT 331 Applied Linear Models
STAT 332 Sampling
STAT 333 Applied Probability
STAT 430 Experimental Design
STAT 450 Estimation and Hypothesis Testing

Four of
ACTSC 431 Risk Theory
ACTSC 432 Loss Distributions and Credibility Theory
AM/PMATH 331 Real Analysis
AM/PMATH 332 Complex Analysis
AM 351 Ordinary Differential Equations
AM 353 Partial Differential Equations 1
AM 451 Introduction to Dynamical Systems
C&O 330 Combinatorial Enumeration
C&O 350 Linear Programming
CS 337 Introduction to Numerical Analysis
PMATH 334 Introduction to Rings and Fields
PMATH 353 Fourier Analysis
PMATH 452 Topics in Complex Analysis

Three additional 300- or 400-level math half-credits

##### Joint Honours Statistics

See "Academic Programs" for a complete description of Joint program requirements.

All of
STAT 330 Statistical Theory and Methods
STAT 331 Applied Linear Models
STAT 333 Applied Probability
STAT 450 Estimation and Hypothesis Testing

Two additional 300- or 400-level math half-credits not included among the courses used to satisfy the requirements of the other Joint Honours department.

##### Honours Applied Statistics with Engineering Electives (Co-operative only)

The requirements for this program include those for the Honours Statistics program described above. In addition, the non-math half-credits must include one of the groups of Engineering courses listed below. Where necessary, PHYS 121/122 and CHEM 120/123 should normally be taken in Year One. The Engineering courses are taken in Years Two to Four.

Group

Chemical
CH E 021, 023, 026, 031, 037, 041
CHEM 120/123, PHYS 121/122

Civil (transportation)
CIV E 126, 292, 340, 342, 343, 344
PHYS 121/122

Groups of courses in Fluid Mechanics and Hydrology, and Water Quality Control are also available*.

Management Sciences
M SCI 211, 261, 311, 432, 452, 461

Mechanical
M E 215, 219, 250, 321, 351 and one of 340, 348
PHYS 121/122

Groups of courses in Automation, Production, Materials, Solid Body Mechanics and Thermofluids are also available*.

Systems Design
SY DE 281, 364, 384, 432, 544, 555
PHYS 121/122

* Details are available in the Statistics Undergraduate Studies Handbook.

Note
An Option in Statistics for students in the Faculty of Engineering is described in "Complementary Studies Requirements".

##### Honours 'X' with Statistics Minor

See "Academic Programs" for a complete description of Minor program requirements.

Three of Two additional 300- or 400-level STAT half-credits.