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VIsualising Proportions
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what are proportions
relative sizes of a part compared to the whole often expressed in percentages
what are proportions grouped by
categories or subcategories
most important for proportions
maximum, mimimum, and overall distribution
ranking analysis?
sorting the values
part-to-whole analysis
expressing the values as percentage of the whole
what are the porportion data patterns
uniform
uniformly different
non uniformly different
increasingly different
decreasingly different
alternating differences
exceptional
uniform
all values are roughly the same
uniformly different
differences from one value to the next differ by about the same amount
non uniformly different
differences from one value to the next vary significantly
increasingly different
differences from one value to the next increase
decreasingly different
differences from one value to the next decrease
alternating differences
differences from one value to the next can be very small at first then suddenly very large then back to small again
exceptional
one or more value are extraordinarily different from the rest
which patterns are interesting?
unusual differences from one value to next
setss of values appear to be grouped
significant breaks in a pattern
obvious exceptions from the norm
proportion data displays
pie chart, donut chart, stacked area chart, stacked bar chart, treemap, pareto chart
pie chart
values altogether add up to 100%
use 3 or less values
donut chart
same as pie chart with hole in middle
when to use pie chart?
do the values make up a meaningful whole
are the values mutually exclusive
do u want to compare values with each other or values to the whole
how many variables do u want to show
stacked area chart
used to show changes over time for several variables
stacked bar chart
used for a few distinct points in time
treemap
uses area size of rectangles to show relative proportion and works well if there is hierarchical structure with parent and child nodes
quantities of a variable is shown by area size
2nd measure can be colour/gradient of the rectangles
pareto chart
used to show cumulative contributions as parts to whole
can be made up using column and line chart
cautions on pareto chart
wildly fluctuating system will produce inconsistent pareto rankings
repeated pareto analyses will help confirm rankings but best way is to use control chart to ensure system is stable
when to use pareto
can data be grouped in categories
is ranking of categories important
used when finding out frequency of problems in a process
techniques and best practices
grouping categorical data in an ad hoc manner
using pareto chart with percentile sclaes
re expressing values to solve quantitative scaling problems
using line chart to show ranking changes through time