Statistics Dictionary

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Conditional Distribution

A two-way table (also called a contingency table) is used to examine relationships between categorical variables. The entries in the cells of a two-way table can be frequency counts or relative frequencies (just like a one-way table ).

Dance Sports TV Total
Men 0.04 0.20 0.16 0.40
Women 0.32 0.12 0.16 0.60
Total 0.36 0.32 0.32 1.00

Relative Frequency of Table

The table above shows preferences for leisure activities in the form of relative frequencies. The relative frequencies in the body of the table are called conditional frequencies or the conditional distribution.

The table above shows relative frequencies for the whole table. Two-way tables can also show relative frequencies separately for the for rows and for columns. The table below shows relative frequencies for rows.

Dance Sports TV Total
Men 0.10 0.50 0.40 1.00
Women 0.53 0.20 0.27 1.00
Total 0.36 0.32 0.32 1.00

Relative Frequency of Row

And the next table shows relative frequencies for columns.

Dance Sports TV Total
Men 0.11 0.62 0.50 0.40
Women 0.89 0.38 0.50 0.60
Total 1.00 1.00 1.00 1.00

Relative Frequency of Column

See also:   AP Statistics Tutorial: Exploring Categorical Data