Probability & statistics for engineers
Summary
This course provides an introduction to experimental statistics, including use of population statistics to characterize experimental results, use of comparison statistics and hypothesis testing to evaluate validity of experiments, and design, application, and analysis of multifactorial experiments
Content
Course Introduction
- Observing Experiments - introduction to factors and responses
- Designing efficient experiments - introduction to experimental cost, observation of effects and interactions, and general design strategies
- Building models - Relating factors to responses
- Inference - Relating samples to populations
Descriptive statistics
- Mean, Median, Mode, Standard Deviation - Summary statistics for populations and samples
- Population Statistics
- Graphical Representation - Chart types
- Population distributions - Normal and binomial distributions
- Mean and standard deviation - Summary statistics and degrees of freedom
- Sampling - Randomness and statistical representation
Comparison Statistics
- Sampling, Blocking and randomization
- Replication
- Significance tests - t tests, randomization test, ANOVA
- Regression and fitting - correlation and least squares
Design of Experiments
- Factorial design
- Fractional factorial design
Keywords
Statistics, Design of Experiments, Hypothesis Testing, ANOVA, regression, correlation, multifactorial
Learning Outcomes
By the end of the course, the student must be able to:
- Design Experiments using multifactorial techniques
- Work out / Determine correlation between experimental data sets
- Characterize sampled data and population data to determine central tendencies and variability
- Assess / Evaluate Statistical validity of a hypothesis
Teaching methods
Lectures with extensive in-class interactive content, exercises using computational tools
Expected student activities
Attend lectures and participate in in-class discussion
Complete exercises
Complete in-class and final examinations
Assessment methods
2 written midterm tests in class
Written final examination
Supervision
| Office hours | Yes |
| Assistants | Yes |
| Forum | No |
| Others | Office hours will be held after midterms to review results |
In the programs
- Semester: Spring
- Exam form: Written (summer session)
- Subject examined: Probability & statistics for engineers
- Courses: 2 Hour(s) per week x 14 weeks
- Exercises: 1 Hour(s) per week x 14 weeks
- Type: mandatory