**Course set-up **

This 3-day course will guide the participants through a correct statistical analysis of their results, originating from experiments or other sources. Theory will alternate with hands-on computer exercises. No prior statistical knowledge is required, but affinity with numbers is a definite plus. It is a master’s level course.

**Course Contents**

- Descriptive statistics
- Graphical techniques: scatter plots, histogram, dotplot, boxplot, normal probability plot
- Descriptive statistics: means, median, variance, IQR, …
- Describing the similarity between variables: covariance & correlation
- Autocorrelation

- Good data collection practice
- Sampling strategies
- Paired comparisons

- Dealing with random variables (probability distributions)
- Properties of distributions of random variables
- Distributions for discrete and continuous variables: Binomial, Poisson, normal distribution, Weibull, …
- Functions of random variables: the z-distribution, χ2, t and the F-distribution
- Confidence intervals for means, difference in means, variances, proportions, capability indices, …

- Hypothesis testing
- Hypothesis testing with confidence intervals
- Classical hypothesis testing
- Statistical significant versus practical relevant
- Type I and Type II errors
- Power and sample size calculations

- One-way ANOVA
- Random effects and Nested ANOVA – Variance Components Analysis (R&r study)
- Two-way ANOVA
- Simple Linear Regression
- Polynomial Regression

**Some cases & applications**

- Detecting and proving a change in a process
- Quantifying and judging the difference between two products or systems
- Deciding on the equivalence of analysis methods
- Setting a specification taking the customers’ measurement error into account
- Calculating the effect of variation in addition and adjustment of a component on the process performance
- Calculating the number of data needed to detect a certain improvement
- Investigating the effect of different types of constituents on the product properties
- Identifying the major source of variation
- Investigating the effect of a process parameter on a characteristic

**Additional benefits**

- Free individual follow-up coaching
- One year free access to the Statistics in Practice guide through the Sherpa-app; a step-by-step guidance when setting up experiments or analyzing data