To provide the student with techniques for the collection, interpretation and application of statistical data.
Working with Data
Histograms and frequency curves: various patterns and their causes, normal, skewed, truncated, bimodal. Time series plots: random variation, trend, shift, cyclical variation. Population and sample. Sampling techniques. Inference. Summary Statistics: mean, median and mode. Cross tabulations. Range, variance, standard deviation, coefficient of variation. Degrees of freedom.
Probability and Distributions
Definitions of probability. Calculating probabilities. Composite events. Applications in reliability. Concept of a probability distribution with reference to the binomial and Poisson. The normal distribution: use of tables.
Estimation
The addition of variances. The central limit theorem. Point estimates and confidence interval estimates of population means. Student’s t distribution. Approximate confidence intervals for population proportions. Sample size for estimation.
Hypothesis Testing
The reasoning behind a hypothesis test. Hypothesis testing procedure. Tests of population means and proportions. Sampling Plans.
Correlation and Regression
Scatterplots. Correlation coefficient. Coefficient of determination. Regression equation. Errors. Standard deviation about regression. Prediction: interpolation and extrapolation. Use of software and interpretation of software output.
Process Capability and SPC
Process capability analysis: statistics for assessing centrality, normality, stability, capability and performance. Process control: construction of SPC Charts for variables and attributes. Corrective, preventive and remedial action.
Quality Tools
The seven basic quality tools: fishbone diagram; check sheet; control chart; histogram; Pareto chart; scatter plot; run chart.
Lectures, demonstrations, exercises, tutorials, software demonstrations, project support and feedback.
Module Content & Assessment | |
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Assessment Breakdown | % |
Formal Examination | 70 |
Other Assessment(s) | 30 |