Binary vs. Binary (unpaired/independent)
When you have a two binary variables you might be interested if there is an association (relation) between the two. For example if the gender (male/female) has an influence on where students had their secondary school (The Netherlands, or somewhere else).The analysis breaks down into the following parts (for each part in this analysis a separate page was created):
Part 1: Descriptive analysis
Use descriptive statistics to get an impression of the data, using:
- A cross table of the two variables
- A visualisation of the data with a clustered bar chart
Part 2: Inferential statistics
After the first impression determine what can be said about the population based on your sample data by:
- Determine if there is a significant association using a Fisher Exact test
- determine the effect sizes (Odds Ratio)
Part 3: Reporting
As the last step, you will need to write up all the results.
Let's begin with getting an impression of the results in the first part.