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Chapter 4

# 73-100 Chapter Notes - Chapter 4: Marginal Distribution, Contingency Table, Bar ChartPremium

2 pages81 viewsWinter 2018

This

**preview**shows half of the first page. to view the full**2 pages of the document.**CHAPTER 4 – Displaying and Describing Categorical Data

Make a picture

- display data ! help see what you are not likely to see in table ! help plan approach to

analysis

- shows important features, patterns and relationships

- reveals extraordinary (or possible wrong) data

- best way to report data to others

Frequency Tables – shows number of cases (ex. website visits) for each category and records

totals and category names (ex. provinces)

- describe the distribution of a categorical variable – name possible categories and tell how

frequently each occurs.

Relative frequency table – displays percentages, rather than the counts, of each of the value in

each category

Charts:

- The area principle – the area occupied by a part of the graph should correspond to the

magnitude of the value it represents

- Bar charts – displays the distribution of a categorical variable, showing the counts for each

category next to each other for easy comparison

- more accurate visual impression of the distribution

- common base, freestanding, spaces in-between

- horizontal or vertical

- Relative frequency bar chart – replacing counts with percentages, draws attention to

proportion

- Pie Charts – severe perceptual problems, hard to interpret – try not to use them!

Categorical Data Condition – that the data are counts or percentages of individuals in

categories

- make sure categories don’t overlap

** best perception of – positions of common scale (ex. plot or bar graph), comparing 2 separate

images with same scale, length

worst perception – volume, colour, angles, area

Contingency tables – shows how individuals are distributed along each variable, depending on

(contingent on), the value of the other variable

- marginal distribution – in a contingency table, the distribution of either variable alone.

The counts or percentages are the totals found n the margins (usually the right-most column

or bottom row) of the table.

- each cell – gives the count for a combination of values of the two variables

- total percentage, row percentage, column percentage

Conditional distribution – shows the distribution of one variable for just those cases that satisfy

a condition on another

Independent variable – when the distribution of one variable is the same for all categories of

another, in a contingency table (no association between the variables)

Segmented Bar Charts – treats each bar as the “whole and divides it proportionally into

segments corresponding to the percentage in each group

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