What type of table presents summary statistics for a dependent variable by combinations of two independent variables?

A contingency table is designed to display the relationship between two or more categorical independent variables and a dependent variable. It presents summary statistics in a way that allows for easy analysis of the distribution and frequencies of the dependent variable based on the combinations of the independent variables.

This table organizes data into a matrix format, where rows typically represent categories of one independent variable and columns represent categories of another independent variable. Each cell within the table contains the count (or frequency) of observations that fall into that specific combination of independent variables, which can help in identifying patterns, trends, or associations in the data.

In contrast, a box plot is used to summarize data based on five number summary statistics (minimum, first quartile, median, third quartile, and maximum) for a single variable, making it unsuitable for examining relationships with multiple independent variables. A histogram is primarily a graphical representation showing the distribution of a single continuous variable, while a Pareto chart is a bar graph that represents categorical data in descending order of frequency, often combined with a line graph. Both of these options lack the structure required to summarize data across multiple independent variables as effectively as a contingency table.