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Displaying and Describing Categorical Data

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Word
Definition
Frequency Table   Record totals and category names. Distribution of categorical variables.  
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Pile   Count number of data values in each category of interest.  
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Relative Frequency Table   Counts are expressed as percentages. Distribution of categorical variables.  
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Area Principle   Each data value should be represented by the same amount of area. Equal width and equal spacing.  
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Bar Chart   Show counts for each category. Distribution of categorical variables. Bars don't touch (Area Principle).  
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Vertical (Y) Axis of Bar Chart   Frequency or relative frequency (100%).  
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Horizontal (X) Axis of Bar Chart   Categories.  
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Relative Frequency Bar Chart   Show percent for each category.  
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Pie Chart   Slice into pieces proportional to the fraction of the whole. In percents, whole circle adds up to 100%.  
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Contingency (Two-Way) Table   Two categorical variables shown individually distributed along each variable. Contingent on the value of the variable. Cells give counts NOT totals.  
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Marginal Distribution   Distribution of one variable. From totals on margins of contingency tables. Total per category / The whole.  
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Conditional Distribution   Distributions of one variable for just the individuals who satisfy some condition on another variable (restricts). Value of cell / Row or Column total.  
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Independent Variable   Segmented bar chart shows IDENTICAL values. Means two variables have NO ASSOCIATION.  
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Dependent Variable   Segmented bar chart shows DIFFERENT values. Means two variables ARE ASSOCIATED.  
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Segmented Bar Chart   Conditional distribution of categorical variable within each category of another variable. By percents. Each bar treated as a whole (like a pie chart).  
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Simpson's Paradox   When averages are taken across different groups, they can appear to contradict the overall averages.  
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Created by: emmaherbach
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