- Understand and be able to correctly use basic statistical terminology.
- Recognize and evaluate variation in data using basic parameter estimation and hypothesis
testing.
- Compare data sets using parameter estimation, hypothesis testing and analysis of variance.
- Recognize and evaluate relationships between two variables using simple linear regression.
- Apply basic 2K design of experiments in order to study and improve engineering processes.
- Understand and be able to apply simple principles of probability, parameter estimation,
hypothesis testing, analysis of variance, simple linear regression, and design of
experiments to engineering applications.
Current Textbook: Statistical Methods for Engineers (Latest Edition), by Geoffrey Vining and Scott M. Kowalski, Thomson, Brooks/Cole.
Topics Covered |
Chapters
|
Time |
Basic Probability – counting, basic laws and elementary theorems; independent events. |
3.1
|
1 week |
Discrete Random Variables and Distributions – binomial, hypergeometric, Poisson, mean
and variance, Poisson Process. |
3.2
|
2 weeks |
Continuous Random Variables and Distributions – uniform, exponential, normal, and
probability plots. |
3.3-3.4
|
2 weeks |
Random Sampling and Sampling Distributions – central limit theorem and t distribution,
chi-square, and F distributions. |
3.6-3.7
|
1 week |
Inference for Proportions – confidence intervals, hypothesis testing, and sample size. |
4.1, 4.2, 4.4
|
2 weeks |
Inference for a Single Mean – confidence intervals, hypothesis testing, and sample
size. |
4.3
|
1 week |
Inference for Variances – confidence intervals, hypothesis testing, one and two populations. |
4.7
|
1 week |
Inference for Two Populations – confidence intervals, hypothesis testing, independent
and dependent samples. |
4.5-4.6
|
1 week |
Analysis of Variance. |
|
1 week |
Simple Linear Regression (as time permits) – curve fitting, inferences about estimated
parameters, adequacy of models, linear correlation. |
6.1-6.2
|
1 week |
Design of Experiments – 2K factorial designs and half fractions. |
7.1-7.3
|
1 week |
The above textbook and course outline should correspond to the most recent offering
of the course by the Statistics Department. Please check the current course homepage
or with the instructor for the course regulations, expectations, and operating procedures.
Contact Faculty: Dewei Wang
|