ECO220Y1 Chapter Notes - Chapter 4: Contingency Table, Marginal Distribution, Frequency Distribution

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24 May 2018
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ECO220
May 2018
1
Ch. 4: Displaying and Describing Categorical Data
LO 4.1 The 3 Rules of Data Analysis
1. Make a picture
a. A display of your data will reveal things you are not likely to see in a table of
numbers and will help you to plan your approach to the analysis and think clearly
about the patterns and relationships that may be hiding in your data
2. Make a picture
a. A well-designed display will do much of the work of analyzing your data. It can show
the important features and patterns. A picture will also reveal things you did not
expect to see: extraordinary (possibly wrong) data values or unexpected patterns
3. Make a picture
a. The best way to report to others what you find in your data is with a well-chosen
picture
LO 4.2 Frequency Tables
Frequency table: A table that lists the categories in a categorical variable and gives the number
of observations for each category.
Relative frequency table: A frequency table showing proportions or percentages instead of
numbers.
LO 4.3 Charts
The Area Principle
Area principle: A principle that helps to interpret statistical information by insisting that in a
statistical display each data value be represented by the same amount of area.
Our eyes tend to be more impressed by the area (or volume) than by other aspects of a graph
• May create a false impression
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ECO220Y1 Full Course Notes
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ECO220Y1 Full Course Notes
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Document Summary

It can show the important features and patterns. Frequency table: a table that lists the categories in a categorical variable and gives the number of observations for each category. Relative frequency table: a frequency table showing proportions or percentages instead of numbers. Area principle: a principle that helps to interpret statistical information by insisting that in a statistical display each data value be represented by the same amount of area. Our eyes tend to be more impressed by the area (or volume) than by other aspects of a graph: may create a false impression. Distribution: the distribution of a variable is a list of: all the possible values of the variable, the relative frequency of each value. Bar chart: a chart that represents the count (or percentage) of each category in a categorical variable as a bar, allowing easy visual comparison across categories.

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