Basic Analysis and Graphing - SAS

192 Performing Contingency Analysis Chapter 6
Contingency Table
Note the following about Contingency tables:
• The Count, Total%, Col%, and Row% correspond to the data within each cell that has row and column
headings (such as the cell under American and Large).
• The last column contains the total counts for each row and percentages for each row.
• The bottom row contains total counts for each column and percentages for each column.
For example, in Figure 6.7, focus on the cars that are large and come from America. The following table
explains the conclusions that you can make about these cars using the Contingency Table.
Number Description Label in Table
36 Number of cars that are both large and come from America Count
11.88% Percentage of all cars that are both large and come from
America (36/303) a .
85.71% Percentage of large cars that come from America (36/42) b
31.30% Percentage of American cars that are large (36/115) c .
Total%
Col%
Row%
37.95% Percentage of all cars that come from America (115/303). (none)
13.86% Percentage of all cars that are large (42/303). (none)
a. 303 is the total number of cars in the poll.
b. 42 is the total number of large cars in the poll.
c. 115 is the total number of American cars in the poll.
Tip: To show or hide data in the Contingency Table, from the red triangle menu next to Contingency
Table, select the option that you want to show or hide.
Table 6.3 Description of the Contingency Table
Count
Total%
Row%
Col%
Expected
Deviation
Cell frequency, margin total frequencies, and grand total (total sample size).
Percent of cell counts and margin totals to the grand total.
Percent of each cell count to its row total.
Percent of each cell count to its column total.
Expected frequency (E) of each cell under the assumption of independence.
Computed as the product of the corresponding row total and column total
divided by the grand total.
Observed cell frequency (O) minus the expected cell frequency (E).
Cell Chi Square Chi-square values computed for each cell as (O - E) 2 / E.
Col Cum
Cumulative column total.