**Two-Way Frequency Tables**

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You have worked with one-way tables (even despite you might not have called them by that name). A one-way table is merely the data native a bar graph put into table form. In a one-way table, you are just working with one categorical variable.

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You deserve to probably guess the a two-way frequency table will deal with two variables (referred to as bivariate data). In so doing, this tables study the relationships in between the two categorical variables. Two-way frequency tables are especially important since they are frequently used come analyze inspection results. Two-way frequency tables are likewise called contingency tables.

The Basics that a Two-Way Frequency Table

Two-way frequency tables space a visual depiction of the feasible relationships in between two to adjust of categorical data. The categories are labeled in ~ the top and the left side of the table, v the frequency (count) information showing up in the 4 (or more) inner cells of the table. The "totals" of each row appear at the right, and also the "totals" of every column show up at the bottom. *Note:* the "sum of the heat totals" **equals** the "sum the the obelisk totals" (the 240 viewed in the reduced right corner). This value (240) is also the amount of every one of the counts native the internal cells.

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Let"s take a look at the vocabulary supplied to identify cell locations in two-way frequency tables. Entries in the human body of the table (the blue cells wherein the early stage counts appear) are dubbed joint frequencies. The cell which save on computer the amount (the orange "Totals" cells) that the early stage counts by row and also by tower are referred to as marginal frequencies. Note that the reduced right edge cell (the complete of every the counts) is not labeled as a marginal frequency.