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What are the differences between Marginal and Conditional Relative Frequency?
Marginal RF: Proportion within a category, ignoring others. | Conditional RF: Proportion within a category, given another category.
What are the differences between Association and Independence in categorical variables?
Association: Conditional relative frequencies differ. | Independence: Conditional relative frequencies are the same.
What are the differences between Side-by-side bar graph and Segmented bar graph?
Side-by-side: Compares groups using separate bars for each category. | Segmented: Shows distribution within each group using segments in a bar.
What is Joint Relative Frequency?
The proportion of observations falling into a specific combination of categories.
Define Marginal Relative Frequency.
The proportion of observations falling into a specific category, regardless of other categories.
What is Conditional Relative Frequency?
The proportion of observations falling into a specific category, given that they are already in another category.
Define Association (in categorical data).
Two variables are associated if conditional relative frequencies for one variable differ across categories of the other variable.
Define Independence (in categorical data).
Two variables are independent if conditional relative frequencies for one variable are the same across all categories of the other variable.
How do you calculate Marginal Relative Frequency?
\(\frac{\text{Row or Column Total}}{\text{Grand Total}}\)
How do you calculate Conditional Relative Frequency?
\(\frac{\text{Frequency of Intersection}}{\text{Total Frequency of Given Category}}\)