Course Notes

Assignments

Data sets.

• Exam 2 data set.

• Final Project data set.

Examples using SAS and MATLAB

• Binomial distribution.

• Hypergeometric distribution.

• Piston ring data. (Montgomery p.39).

• Xbar-R chart, mu and sigma known.

• Xbar-S chart, mu and sigma known.

• Data set for examples.

• Example 2. Xbar-R chart, Xbar-Schart, mu and sigma unknown.

• Example 2. Xbar- Pooled S chart, mu and sigma unknown.

• Xbar-R and Xbar-S chart with unequal sample sizes.

• Moving range chart with tests for special causes.

• Moving range chart, mu and sigma specified.

• Moving range chart with boxplot.

• Moving range chart with and without transformations.

• Making OCC and ARL plots.

• p-chart (p specified).

• p-chart (p unknown).

• p-chart with unequal sample sizes.

• OCC for p-chart.

• np-chart (p specified).

• np-chart (p unknown).

• np-chart with unequal sample sizes (not in notes).

• c-chart (c specified).

• c-chart (c unknown).

• u-chart (c specified).

• u-chart (c unknown).

• Process capability example.

• Process capability with nonnormal data.

• Page Gage capability analysis #1 (Montgomery p. 455-456).

• Page Gage capability analysis #2 (Montgomery p. 458-460).

• Gage capability re-analysis with PART*OPERATOR effect in the model (not in notes).

• Cusum for piston ring data with unknown sigma.

• One-sided cusums for piston ring data with unknown sigma.

• Cusum for piston ring data with known sigma.

• One-sided cusums for piston ring data with known sigma.

• Cusum with pump id. (not in course notes)

• Cusums with various h,k, and alpha.

• Designing a cusum: Method 1.

• Designing a cusum: Method 2.

• Page Finding h and k using ARLs.

• A FIR cusum example.

• Designing a FIR cusum.

• Cusum example which indicates the number of points per plot.

• Example of powers of transition matrices for a count data cusum with k=3 , h=5.

• Example of finding ARLs for a count data cusum with k=3 , h=5.

• EWMA for piston ring data with and without resets (sigma known).

• Page EWMA with unknown sigma.

• Page Another EWMA example.

• Page Unequal sample size EWMA example.

• Page EWMA example with superimposed data values.

• SAS EWMAARL function example.

Reliability and Accelerated Testing Examples.

• Example 1: Page Lifetimes of appliance components (Proc Lifetest).

• Example 1: Lifetimes of appliance components (Proc Reliability).

• Example 2: Grinder lifetimes (Proc Lifetest).

• Example 2: Grinder lifetimes (Proc Reliability).

• Example 3: Fan failures lifetime data (Proc Lifetest).

• Example 3: Fan failures lifetime data (Proc Reliability).

• Example 4: Locomotive controls: number of miles until failure (Proc Lifetest).

• Example 4: Locomotive controls: number of miles until failure (Proc Reliability).

• Example 5: Connection breaking strength data: two failure modes (Proc Lifetest).

• Example 5: Connection breaking strength data: two failure modes (Proc Reliability).