In the section on
qualitative
variables, we saw how bar charts could be used to
illustrate the frequencies of different categories. For
example, the bar chart shown in
Figure 1 shows how many purchasers of iMac computers were
previous Macintosh users, previous Windows users, and new
computer purchasers.
In this section we show how bar charts can be used to present
other kinds of quantitative information, not just frequency
counts. The bar chart in
Figure 2
shows the percent increases in the Dow Jones, Standard and Poor
500 (S & P), and Nasdaq stock indexes from May 24th 2000 to
May 24th 2001. Notice that both the S & P and the Nasdaq
had
negative increases which means that they
decreased in value. In this bar chart, the Y-axis is not
frequency but rather the signed quantity
percentage
change.
Bar charts are particularly effective for showing change over
time.
Figure 3, for example, shows
the percent increase in the consumer price index (CPI) over four
three-month periods. The fluctuation between inflation
increases above and below 3% is made apparent in the graph.
Bar charts are often used to compare the means of different
experimental conditions.
Figure 4
shows the mean time it took one of us (DL) to move the mouse to
either a small target or a large target. On the average more
time was required for small targets than for large ones.
Although bar charts can display means, we do not recommend them
for this purpose.
Box
plots should be used instead since they provide more
information than bar charts without taking up more space. For
example, a box plot of the mouse-movement data is shown in
Figure 5. You can see that
Figure 5 reveals more about the
distribution of movement-times than does
Figure 4.
The section on
qualitative
variables earlier in this chapter discussed the use of
bar charts for comparing distributions. Some common graphical
mistakes were also noted. The earlier discussion applies
equally well here, to the use of bar charts to display
quantitative variables.