Two Way Tables and Associations

Front

What is a two-way table?

Back

A two-way table is a statistical table that displays the frequency distribution of two categorical variables, allowing for the analysis of the relationship between them.

Front

What does relative frequency represent?

Back

Relative frequency is the ratio of the frequency of a particular category to the total number of observations, often expressed as a percentage.

Front

How do you calculate relative frequency?

Back

Relative frequency = (Frequency of a category) / (Total frequency) x 100%.

Front

What indicates a strong association between two variables in a two-way table?

Back

A strong association is indicated when the relative frequencies of the categories are significantly different from each other.

Front

What is the purpose of a two-way table?

Back

The purpose of a two-way table is to summarize and analyze the relationship between two categorical variables.

Front

What does it mean if two variables are independent?

Back

Two variables are independent if the occurrence of one does not affect the occurrence of the other, often shown by similar relative frequencies.

Front

What is the significance of the total row and column in a two-way table?

Back

The total row and column provide the overall counts for each category, which are essential for calculating relative frequencies.

Front

How can you identify an association in a two-way table?

Back

An association can be identified by comparing the relative frequencies across different categories of one variable.

Front

What is the formula for calculating the percentage of a category in a two-way table?

Back

Percentage = (Frequency of the category / Total frequency) x 100%.

Front

What does it mean if the relative frequencies are close to each other?

Back

If the relative frequencies are close to each other, it suggests that there is little to no association between the two variables.