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Exercise 23
Compute the value for the data in the following contingency table (TABLE 1).
TABLE 1: Unemployed persons in Italy by education and by region, 2010. Source: Istat
The formula for x is:
x = (row total * column total) / grand total
where:
- row total is the sum of the numbers in each row
- column total is the sum of the numbers in each column
- grand total represents the observed frequencies
331, 335, … (From table 1 you can see that grand total represents the theoretical frequencies.)
In order to determine the theoretical frequencies, first calculate the row and column totals, which are called marginal frequencies:
331 335 79 745
331 152 468 951……
The next table (TABLE 2) shows the absolute marginal frequencies and their percentage value.