# Statistics

NOTE: See the beginning of Section F for abbreviations, course numbers and coding.

Statistics program description.

STAT1793Introduction to Probability and Statistics I3 ch (3C)

Concepts of population and sample, data collection, descriptive statistics and exploratory data analysis, frequency distributions, basic probability concepts, random variables, discrete and continuous probability models and their applications, central limit theorem and its applications and an introduction to statistical interference. NOTE: Credit can be obtained for only one of STAT 1793, STAT 2263, STAT 2593, BA 1605, PSYC 2901.

Prerequisite: Grade 12 Mathematics.

STAT2263Statistics for Health Sciences and Non-Science Majors3 ch (3C)

An introductory course in statistics. Experiments, sampling, basic descriptive statistics. Probability, random variables, Normal distribution. Confidence intervals for means and proportions. Tests of hypotheses. paired samples vs. two independent samples. Contingency tables. Regression, correlation. Introduction to analysis of variance. Examples drawn from the health sciences. Use of a statistical computer package. NOTE: Credit can be obtained for only one of STAT 1793, STAT 2263, STAT 2593, BA 1605, PSYCH 2901.

Prerequisites: A New Brunswick high school mathematics course, either Pre-Calculus 110 or Foundations of Mathematics 120, or equivalent.

STAT2593Probability and Statistics for Engineers3 ch (3C)

Probability spaces: combinatorial probability, conditional probability, and independence. Random variables: discrete distributions, continuous distributions, expectation, variance, and covariance; linear combinations. Statistics: descriptive and graphical statistics; sampling; distributions. Inference: point estimation, confidence intervals; hypothesis tests; paired data designs; two sample inference, linear regression. NOTE: Credit can be obtained for only one of STAT 1793, STAT 2263, STAT 2593, BA 1605, PSYC 2901.

Prerequisite: MATH 1013.
STAT2793Introduction to Probability and Statistics II3 ch (3C)

Concepts of estimation and test of hypothesis, sampling distributions, confidence interval estimation and test of hypothesis for proportion(s), mean(s) and standard deviation(s), association and trend analysis, elementary experimental designs and analysis of variance. NOTE: Credit can be obtained for only one of STAT 2793, BA 2606, PSYC 3913

Prerequisite: STAT 1793

STAT3083Probability and Mathematical Statistics I (A)3 ch (3C)

The first half of a two-part sequence covering various topics in probability and statistics. This course provides an introduction to probability theory and the theory of random variables and their distributions. Probability laws. Discrete and continuous random variables. Means, variances and moment generating functions. Sums of random variables. Joint discrete distributions. Central Limit Theorem. Examples drawn from engineering, science, computer science and business.

Prerequisites: MATH 1013 (or B+ or higher in MATH 1001) and one of STAT 1793, STAT 2263, STAT 2593, BA 1605, PSYC 2901; or permission of the instructor.

STAT3093Probability and Mathematical Statistics II (A)3 ch (3C)

The second half of a two part sequence covering various topics in probability and statistics. This course provides an introduction to essential techniques of statistical inference. Samples and statistics versus population and parameters. Brief introduction to method of moments and maximum likelihood. Tests and intervals for means, variances and proportions (one and two sample). Multiple regression, residual plots. Analysis of variance. Brief introduction to experimental design. Chi-squared tests. Examples drawn from engineering, computing science and business. Use of a statistical computer package.

Prerequisites: STAT 3083 and one of STAT 2793, BA 2606, PSYC 3913, STAT 2593; or permission of the instructor.

STAT3703Experimental Design (A) 3 ch (3C)

Experimental Design methods and theory, one-way and two-way classification models, split plot designs, incomplete blocks, response surface designs. Special emphasis on applications.

Prerequisite: One of STAT 2793, BA 2606, PSYC 3913, or STAT 3093

STAT4043Sample Survey Theory (O)3 ch (3C)

Simple random sampling; stratified sampling; systematic sampling; multistage sampling; double sampling, ratio and regression estimates; sources of error in surveys.

Prerequisite: One of STAT 2793, BA 2606, PSYC 3913, or STAT 3093

STAT4203Introduction to Multivariate Data Analysis (O)3 ch (3C)

Multivariate normal distribution; multivariate regression and the analysis of variance; canonical correlations; principal components; classification procedures; factor analysis; computer applications. Student should have some exposure to matrix algebra.

Prerequisites: One of STAT 2793/BA 2606/PSYC 3913/ or STAT 3093, MATH 1503 or MATH 2213 (or permission of the instructor).

STAT4243Statistical Computing (O)3 ch (3C)

Course will include random number generation, simulation of random variables and processes, Monte Carlo techniques and integral estimation, the computation of percentage points and percentiles, as well as resampling methods.

Prerequisites: One of STAT 2793/BA 2606/PSYC 3913/or STAT 3093, and CS 1073 or CS 1003 (or permission of the instructor).

STAT4703Regression Analysis (A)3 ch (3C)

Simple and multiple linear regression, least squares estimates and their properties, tests of hypotheses, F-test, general linear model, prediction and confidence intervals. Orthogonal and non-orthogonal designs. Weighted least squares. Use of a statistical computer package. NOTE: Credit can be obtained, for only one of STAT 4703, and ECON 4645

Prerequisites: One of STAT 2793/BA 2606/PSYC 3913/ or STAT 3093 (or permission of instructor).

STAT4803Topics in Statistics (O)3 ch (3C)

Selected topics at an advanced level. Content will vary. Topic of course will be entered on student’s transcript. Course will be considered as an upper level elective for Information Sciences students and for Mathematics and Statistics Majors.

Prerequisite: STAT 3093 or consent of instructor.

STAT4993Project in Statistics 3 ch

Research project in Statistics carried out by the student under the supervision of a member of the Department. The student will submit a written report and make an oral presentation.

Prerequisite: Normally 75% of total credits required in the program.