| Topic 1. Extension of experimental design and analysis |
Basic principles and concepts of experimental design. Replicated designs. Blocking factor. Interaction. Factorial design with two factors: model, relevant hypothesis tests, ANOVA II table, main effects model. Factorial design with three factors. Fractional designs. One-half fraction of a 2^k design: main fraction and complementary fraction. Fractions of three-factor designs: Latin squares. |
| Topic 2. Introduction to quality control |
Dimensions of quality and engineering. Basic principles of statistical quality control. Control by variables and control by attributes. Control charts: warning limits, action limits and decision rules. Characteristic operating function. Control by variables: x-bar chart, R chart, S chart, charts for individual measurements. Capability analysis. Control by attributes: p-chart, np-chart, c-chart and u-chart. |
| Topic 3. Industrial reliability and survival analysis |
Concept of reliability and reliability measures. Reliability function and failure rate function. Mean residual life time. Notable probabilistic models: Exponential, Gamma, Weibull, Lognormal, Loglogistic. System reliability. Reliability studies: censored data and truncated data. Parametric methods of estimation and inference on reliability. Non-parametric methods: Kaplan-Meier and Nelson-Aalen curves. Goodness-of-fit plots. Accelerated life tests. Cox regression. Multiple types of failure. |
| Topic 4. Linear methods in regression and classification |
Linear model and generalised linear model (logistic and Poisson). Estimation and inference. Model evaluation and selection (prediction error; information criteria; cross-validation and bootstrap). Variable selection and regularisation (variable subset selection; stepwise regression; LASSO and Ridge regression). Dimension reduction. |
