Statistics and Design of Experiments Short Course
Fall 2012
Presentations
These presentations are not of uniform length and are not arranged as
lectures of a particular length. The presentations were used to
present a short course to researchers in the Departments of Electrical
Engineering and Computer Science and Engineering at the University of
Notre Dame in the Fall of 2012.
The primary reference for these presentations is the National
Institute of Standards and Technology (NIST)
Engineering Statistics Handbook (ESH). There are links to sections of
the ESH on many of the slides in the presentations (but not in the 4X
printing pdf's). In the Design of Experiments
section, reference is also made to the NIST
Dataplot Tabulated Designs which provides a number of common
experimental design array tables.
Statistics
The first part of the short course covers basic statistical theory
including measures of center and spread, plotting data, and measures
of confidence.
- Satistics I:
Introduction (presentation pdf with links) (4X pdf for printing
with no links)
Experiments with standard six sided die are used to introduce
randomness and some
statistical analysis concepts.
- Statistics II: Basic
Statistical Theory (4X)
Statistical Definitions: mean, variance, standard deviation, correlation;
distributions with emphesis on the normal distribution, the central
limit theorm.
- Statistics
III: Graphical Display of Data (4X)
Histogram, Box Plot, Normal Probability Plot, Scatter Plot. Using
MatLab for plotting.
- Statistics IV:
Confidence Limits and Hypothesis Testing (4X)
Student's t distribution, confidence limits of the mean, equivalence
of two means, the f distribution, equivalence of two variances.
Statistical Design of Experiments
References
J. Nahas Homepage
Last modified: Tue Dec 11 15:23:20 EST 2012