Displaying and Describing Categorical data

1. Displaying and Describing Categorical data Statistics

2. 3 Rules • Think • Show • Tell

3. Definitions • Frequency Tables- records the counts of totals and category names • Relative frequency tables-displays the percentages, the counts, of the variables in each category • Distribution-tables or graphical displays that show how variables are distributed across categories.

4. Ways to display data • List as many possible ways to display categorical data:

5. Contingency Tables Class Survival Who, what, where, when, why, how?

6. Contingency tables… • Definition: when a table shows how individuals are distributed along two variables, contingent on the value of another variable. Class Survival

7. Contingency tables.. Class Survival 1.) Compare the survival rates for each passenger classes. 1st class and survived = 1st class and died = 2.) What percent of the survivors were in second class? 3.) What percent were second-class who survived? 4.) What percent of the second-class passengers survived?

8. Marginal vs conditional distribution • Marginal distribution- frequency distribution of one of the variables. • Conditional distribution- shows one variable for just the individuals who satisfy some condition on another variable.

9. Did the chance of surviving the Titanic sinking depend on ticket class? • Look at the conditional distributions to answer this. Alive Dead

10. Segmented Bar Chart