Two Way Tables

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.

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How do you calculate relative frequency from a two-way table?

Back

Relative frequency is calculated by dividing the frequency of a specific category by the total number of observations.

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What does the term 'marginal frequency' refer to in a two-way table?

Back

Marginal frequency refers to the totals found in the margins (rows or columns) of a two-way table, representing the total counts for each category.

Front

What is the formula for calculating probability from a two-way table?

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Probability is calculated by dividing the frequency of the event of interest by the total number of observations.

Front

How can you find the percentage of a specific category in a two-way table?

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To find the percentage, divide the frequency of the specific category by the total frequency and multiply by 100.

Front

What is the difference between joint frequency and marginal frequency?

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Joint frequency refers to the frequency of occurrences for a specific combination of categories, while marginal frequency refers to the total counts for each category.

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How do you interpret the data in a two-way table?

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Interpreting data involves analyzing the frequencies and probabilities to understand the relationship between the two categorical variables.

Front

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

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The total row and total column provide the marginal frequencies, which help in calculating probabilities and understanding overall distributions.

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How can two-way tables be used to find conditional probabilities?

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Conditional probability can be found by dividing the joint frequency of the event of interest by the marginal frequency of the condition.

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What is an example of a two-way table?

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An example could be a table showing the number of students who play different sports categorized by gender.