Probability & Statistics for Engineers

Data collection, probability, distributions, reliability, inference, experiments, regression and quality control for engineering data.

STAT-235 Year 2 3 credits 12 lessons · 6 h 8 min

Offered by HSM University · Engineering Core

This is the Canadian version of this course. See the American version.

What you'll learn

Summarize engineering data with graphs and statistics, identify outliers and judge results against acceptance criteria
Apply the rules of probability, conditional probability and Bayes' theorem to reliability, inspection and return-period problems
Model counts, lifetimes and measurements with binomial, Poisson, exponential and normal distributions, and combine random variables
Construct confidence intervals, choose sample sizes and carry out one-sample, two-sample and paired hypothesis tests
Fit and assess linear regression models, and use confidence and prediction intervals for calibration and design
Plan data collection with appropriate sampling methods, assess measurement systems, and apply control, randomization, replication and blocking
Model component life and extreme events with Weibull, lognormal, gamma and Gumbel distributions, and fit them with probability plots
Combine correlated random variables, carry out tolerance stack-up and error propagation, and use the chi-square, t and F distributions
Test variances, proportions and categorical counts, and use nonparametric methods and the bootstrap when assumptions fail
Analyse designed experiments with ANOVA, multiple comparisons and factorial designs, including interactions
Monitor processes with control charts, assess process capability and evaluate acceptance sampling plans
Apply statistical reasoning to engineering decisions, reporting uncertainty honestly and reproducibly

12 lessons · 6 h 8 min total · final exam

Recommended background. You can start any course at any time.

Data collection, probability, distributions, reliability, inference, experiments, regression and quality control for engineering data.

Part of the Engineering stream, typically taken in year 2.