Available Fall term
or equivalent statistical material
424 Rogers Hall
Control of quality through the use of statistical analysis; typical control techniques and underlying theory. Development of reliability models and procedures for product assurance.
- Variation, distributions and point estimation
- Statistical comparisons and inference
- Control charts: Interpretation and applications
- Statistical basis for X-bar / R charts
- OC curves and average run length (ARL)
- Process capability analysis and Cp, Cpk & Cpm ratios
- Gauge capability and repeatability/reproducibility studies
- Fraction nonconforming sample size, OC, ARL
- Attribute charts for “fraction non-conforming”
- Constant/variable size charts for nonconformities
- Cumulative sum control charts
- EWMA and moving average control charts
- Acceptance sampling and MIL STD 105E
The student, upon completion of this course, will be able to:
- Present a numerical and graphical characterization of quantitative data. Assuming the quantitative data are observations from a normal distribution compute the probability of specific numerical outcomes. Construct and interpret normal probability plots of quantitative data.
- Assuming quantitative data are observations from a normal distribution, form hypotheses pertaining to the mean and variance of the distribution. Reject or do not reject the hypotheses based on appropriate statistical tests for a specified type 1 error probability. Compute and/or explain the procedure for finding the type 2 error level for the statistical tests.
- Construct, implement and interpret X-bar and R control charts for variables from standards and from data; and demonstrate how to use the corresponding OC curves.
- Construct, implement and interpret p, c, and u control charts for attributes from standards or data; and demonstrate how to use the corresponding OC curves.
- Perform a gauge capability study - calculating the components of varability due to product, measurement error and its’ components (repeatability and reproducibility of the gauge).