Lecture 2 Chapter 2. Displaying and Describing Categorical Data Week 1 Lecture 2 Chapter 2. Displaying and Describing Categorical Data

Distribution of Perceived Health (2012) Canadian Community Health Survey (CCHS) Graphical displays of a categorical data: Bar chart Pie chart

Distribution of Perceived Health (2012) Canadian Community Health Survey (CCHS) Variable(s): 2 Variable Names: Perceived Health, Sex Variable Type: Perceived Health: Ordinal Categorical Variable 0 = Poor, 1 = Fair, 2 = Good, 3 = Very Good, 4 = Excellent Sex: Nominal Categorical Variable Male, Female StatCrunch: Stat>Tables>Contingency>With Data Row Variable: perceived health Column Variable: sex Compute! Most females and males reported “Very Good” as their perceived health.

Graph: Bar Chart (Perceived Health By Sex)

Graph: Bar Chart (Perceived Health By Sex) StatCrunch: Graph>Bar Plot>With Data Select Column: perceived health Group By: Sex Grouping Option: Separate graphs for each group Compute! Most females and males reported “3 = Very Good” as their perceived health.

Graph: Pie Chart (Perceived Health By Sex) StatCrunch: Graph>Pie Chart>With Data Select Column: perceived health Group By: Sex Compute! Again, not much difference is apparent. It is better to construct a bar chart for each sex group, but put bars side by side (on the next slide).

Graph: Clustered Bar Chart (Perceived Health By Sex) StatCrunch: Stat>Tables>Contingency>With Data Row Variable: sex Column Variable: perceived health Compute! StatCrunch: Graph>Bar Plot>With Data Select Column: perceived health Group By: Sex Compute!

Contingency Table of Perceived Health By Sex Reading the Table There were 1500 respondents. 832 of the respondents were female. 315 of the respondents were female who reported “3 = Vey Good” as their perceived health. 240 of the respondents were male who reported “3 = Very Good” as their perceived health.

Contingency Table of Perceived Health By Sex Marginal Distribution Marginal Distribution of Sex: For example, What percentage of the respondents were male? Marginal Distribution of Perceived Health: What percentage of the respondents reported “3 = Very Good” as their perceived health?

Contingency Table of Perceived Health By Sex Marginal Distribution Marginal Distribution of Sex: For example, What percentage of the respondents were male? 𝟔𝟔𝟖 𝟏𝟓𝟎𝟎 = 0.4453 x 100 = 44.53% Marginal Distribution of Perceived Health: What percentage of the respondents reported “3 = Very Good” as their perceived health? 𝟓𝟓𝟓 𝟏𝟓𝟎𝟎 = 0.37 x 100 = 37%

Contingency Table of Perceived Health By Sex Conditional Distribution Row Percentages: For example, What percentage of the females reported “3 = Very Good” as their perceived health?

Contingency Table of Perceived Health By Sex Conditional Distribution Row Percentages (of Row Total): For example, What percentage of the females reported “3 = Very Good” as their perceived health? 𝟑𝟏𝟓 𝟖𝟑𝟐 = 0.3786 x 100 = 37.86%

Contingency Table of Perceived Health By Sex Conditional Distribution Column Percentages: For example, What percentage of those who reported “3 = Very Good” as their perceived health were females?

Contingency Table of Perceived Health By Sex Conditional Distribution Column Percentages (of Column Total): For example, What percentage of those who reported “3 = Very Good” as their perceived health were females? 𝟑𝟏𝟓 𝟓𝟓𝟓 = 0.5676 x 100 = 56.76%

Contingency Table of Perceived Health By Sex Conditional Distribution Joint Distribution: For example, What percentage of respondents were female and reported “3 = Very Good” as their perceived health?

Contingency Table of Perceived Health By Sex Conditional Distribution Joint Distribution (Out of Everything): For example, What percentage of respondents were female and reported “3 = Very Good” as their perceived health? 𝟑𝟏𝟓 𝟏𝟓𝟎𝟎 = 0.21 x 100 = 21%