Tables Graphs¶

Two-Way Tables & Relative Frequencies¶

Relative Frequencies¶

• Joint relative frequencies: $\frac{joint\ frequency}{total\ frequency}$
• Marginal Relative Frequencies: $\frac{marginal\ frequency}{total\ frequency}$

Conditional Relative Frequencies¶

Conditional Relative Frequencies =$\dfrac{joint\ frequency}{marginal\ frequency}$

Conditional of category X: the row/column of category sum up to 1

Bar Graphs & Mosaic Plots¶

Side-by-Side Bar Graphs¶

Segmented Bar Graphs¶

• Compare the conditional relative frequencies
• If using relative frequency for a segmented bar graph, frequencies cannot be compared

Mosaic Plots¶

- Widths are proportional to the marginal relative frequencies - Areas of the bars are proportional to the joint frequencies - Compare conditional relative frequencies - Compare marginal relative frequencies by checking widths of the bars