A contingency table can show:

Question

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A contingency table is a tabular arrangement that displays the joint distribution of two (or more) categorical variables. Its primary purpose is to show how often combinations of categories occur together, i.e., the co-occurrence counts for two events.
Option 1: 'Mean values for two or more variables' is not what a contingency table captures. Means describe central tendency for numerical variables, which requires numeric data summaries, not joint category counts.
Option 2: 'Differences in total counts for two events' sounds like a comparison of marginal totals or rates, but contingency tables focus on the frequency of joint category combinations rather than explicitly highlighting differences between two separate event counts.
Option 3: 'Co-occurrence counts for two events' correctly describes the core function of a contingency table: it tabulates how often each pair of category memberships occurs together.
Option 4: 'Probabilities of two events' can be derived from a contingency table by converting counts to proportions, but the table's fundamental content is counts of co-occurrences; probabilities are a derived view rather than the direct primary purpose of the table.

SP2025.B69.DAT.562.24 COMPLETE Quiz #5 in Module 3 for VIDEO 4: Feature Selection - The X^2-Statistic

A contingency table can show:

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