By Hugh Small. Paper
from Stats & Lamps Research Conference organised by the Florence
Nightingale Museum at St. Thomas' Hospital, 18th March 1998. Hugh
Small is the author of Florence
Nightingale: Avenging Angel published by Constable |
It has been said that Florence Nightingale was the first to use diagrams
for presenting statistical data. This is not true, of course, but
she may have been the first to use them for persuading people of the
need for change.
Edward
Tufte does not mention Nightingale in his book on the history of
graphics(1),
and he says that this famous 1869 chart by Minard of Napoleon's
dwindling army as it marched to Moscow and back in 1812/13 may be
the best statistical graphic ever drawn:
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Minard's diagram includes a temperature chart which misleadingly
suggests that Napoleon's army froze to death. It shows the falling
temperature during the retreat from Moscow, but most of the army
was lost during the advance (300,000 men, vs. 90,000 in the retreat).
Nightingale herself studied this catastrophe, and concluded that
Napoleon's army - like most others - had died of disease.(2)
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Like Minard's, Nightingale's most famous graphics illustrated what
she called the "loss of an army" - the British army sent to the Crimea.
She published them ten years before Minard's. Hers also were more
topical and conveyed a call to action - they were prescriptive rather
than descriptive. She used recent data to persuade the Government
to improve army hygiene. |
Although she was before Minard,
there were others before her. The best-known pioneer of statistical
graphics was William Playfair, who published what must be the first
"pie chart" in 1801.(3)
It was in a graphic showing that, by comparison with other countries,
the British paid more tax. The vertical line to the left of each circle
is the population (left scale) and the vertical line to the right
is the tax revenue (right scale). In this selection of four of Playfair's
countries, Britain is the only one in which the tax line is higher
than the population line: |
Playfair used this graphic to argue for lower taxes. So you could
say that, unlike Minard, his graphics are prescriptive. But Playfair's
graphics are merely comparisons. They do not demonstrate what would
happen if you reduced taxes. They look good but make you ask "so
what?" They do not illustrate cause-and-effect - what Nightingale
called a "law".
Before going into Nightingale's graphics,
let's look at the state of statistical science in her day. There
was a great revolution in this area in Nightingale's time. In 1837
the General Registry Office at Somerset House, led by William Farr
who later helped Nightingale with her Crimean statistics, began
to systematically record births, deaths, and marriages in the UK.
This gave people the opportunity to examine new cause and effect
relationships using registration statistics.
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The years of struggle and the visit to Kaiserswerth |
For example, Florence
Nightingale and her sister Parthenope attended the 1847 meeting of
the British Association for the Advancement of Science in Oxford.
There, they may have seen a report from a Government Actuary, F. G.
P. Neison, which showed that counties in which people were better
educated had a lower crime rate. This was an argument in favour of
higher taxes to finance public education, countering the propaganda
of Playfair against high taxes. Neison knew that opponents of his
theory would claim that it was prosperity, not education, that reduced
the crime rate. So he found counties that had both a relatively high
income and a relatively low education, and showed that at least a
part of the variation in crime rates was due to education: |
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Neison estimated the level of education
in each county by counting the proportion of people getting married
there who were able to write their name on the marriage certificate.
Statistics relied much more on ingenuity and less on complicated
formulae in 1847!
Social improvers like Florence
Nightingale eagerly seized on results like Neison's which showed
how mankind could combat social evils. Part of her interest in statistics
was related to her Unitarian faith. Unitarians believed that mankind
has the power to continuously improve itself by observation and
the use of reason.
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After the Crimean War
(1854-56), Nightingale created a number of spectacular graphics
designed to show how improvements in building hygiene could save
many lives. These appear in five different documents:
1. Appendix 72
of the report of the Royal Commission that Nightingale organised
after the war, published in 1858.
2. Mortality of
the British Army (1858), a private edition by Nightingale
of the above Appendix, with exactly the same content but with better
layout than that used by Government printers. She produced 2000
copies of this book.
3.
A Contribution to the Sanitary History of the British Army (1859).
Nightingale published this anonymously to answer a pamphlet(4)
that claimed that she had exaggerated the number of deaths in the
war. She showed that the Army's own figures, released in late 1858,
showed that on the contrary she had underestimated. The graphics
in the Contribution used the same statistics as in No. 2 but with
different graphic presentation, as we shall see.
4. Notes on Matters
Affecting the Health of the British Army (1858). This was
a confidential report to the Government, that Nightingale printed
privately and sent to a number of people. This contains two of the
three graphics from No. 3.
5. England and
Her Soldiers (1859) by Harriet Martineau. Nightingale encouraged
Martineau to write this book about the war and gave her copies of
the graphics used in No. 3.
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Most of the graphics used in Nos. 1 and 2 are similar to those previously
used by her adviser William Farr in his Registrar-General's Annual
Reports. They are mostly what we might call "100% area" or "100% stacked
bar".
There is also one "honeycomb"
graphic showing how densely soldiers are packed in camp (a device
which Farr had already used for illustrating urban density), and
two other graphics that are highly original. The first is what Nightingale
called the "bat's wing" which is very gloomy to look at and also
misleading.
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The circle on the right has 12 sectors going clockwise representing
the first 12 months of the war. The circle on the left is the second
12 months. The superimposed dark shapes show the monthly death rates.
The diagram illustrates how the Sanitary Commission, sent out in
the middle of the war, dramatically reduced the death rate.
The length of the radial
line in each month is proportional to the death rate, but both the
text and the appearance imply that it is the shaded area that is
proportional to the death rate, rather than the length of the radial
lines. Florence recognised this error and inserted an erratum slip,
but then replaced this diagram in later documents (nos. 3, 4, and
5 listed above) with what I will call the "wedges" diagram.
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This "bat's wing" and its successor
are so different from any diagrams that Farr did before that they
may be Nightingale's own invention. The other highly original chart
is what I will call the "Lines" - a bar chart showing how soldiers
in peacetime, living in their barracks in England, were dying at a
faster rate than civilians in the cities around them. |
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There is a black bar in each of four age
ranges, and a longer red bar. The black bar is the number of civilians
who die each year, and the red is the number of soldiers. There
are a number of curious overtones to this graphic, which may just
be a coincidence.
First, the title "Lines"
(in ornate script in the original) makes it sound like a poem,
as in Lines on the Death of Bismarck. There are four pairs
of bars, when actually the message is clear from one pair alone.
There seems to be a kind of repetition, as in a chorus. This effect
is increased by the words, repeated at the end of each line, English
Men, English Soldiers ... It sounds like a funeral march.
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Second, the red bar for
the soldiers would certainly make some people think of the "Thin
Red Line" which had become famous in the Crimean War when a two-deep
row of red-jacketed British infantrymen stopped a Russian heavy
cavalry charge, something that was thought to be impossible. The
thin red lines on Nightingale's chart represented these same heroic
soldiers who were now dying unnecessarily because of bad hygiene
in their barracks.
Perhaps this graphic is
a visual poem by Arthur Hugh Clough, who was Nightingale's secretary
at the time that she produced it.(5)
The variation of death
rates due to differences in hygiene was very important to reformers
like Nightingale because it showed that even the civilian
death rate could probably also be improved by better hygiene. One
of Farr's rules of thumb was that if something varied widely from
place to place, it could probably be reduced to zero. This is an
example of the army being used as a controlled environment for testing
social theories, which was very common in Victorian times.
This "Lines" graphic is
probably the most influential of Nightingale's diagrams because
it dealt with a situation that was still going on. The "bat's wing",
on the other hand, described a wartime catastrophe which was now
history so that the army could claim that it wouldn't happen next
time. It was probably the "Lines" diagram that Nightingale particularly
wanted to frame and send for hanging in the offices of the Army
High Command, as a rebuke.(6)
However, it is the last
graphic - the successor to the "bat's wing" which I will call the
"wedges" - that Nightingale is most famous for. Strangely enough,
the name that many people give it is wrong. This graphic is not
what Nightingale referred to as the "coxcomb"!
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In this diagram, Nightingale
resolved the problem of the "bat's wing" by using areas to
represent the variation in the death rate, instead of the length
of radial lines. The blue wedges, representing death by sickness,
are far bigger than those representing wounds. The message of this
graphic is twofold: first, most of the fatalities during the war
were from sickness and second, improvements in hygiene dramatically
reduced the death rate.
Nightingale used this diagram
instead of the "bat's wing" in documents 3, 4, and 5. But why do
I say that this is not the "coxcomb"? What did Nightingale mean
by the word "coxcomb"?
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A coxcomb is the
ostentatious red crest on the top of a cockerel's head. Nightingale
used the word to describe the 2000 copies she had printed of No. 2
- her Mortality of the British Army. This booklet, a reprint
of an annex containing diagrams, text, and tables, was the "coxcomb"
of the enormous Royal Commission report, the colourful and ostentatious
part that people would actually take notice of. In her letter of Christmas
Day 1857 to Sidney Herbert (the President of her Royal Commission)
Nightingale used the word "coxcomb" in this more thoughtful sense,
referring to a book consisting of text, tables, and graphics:
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"Dear Mr. Herbert,
I send you one of the "coxcombs" There are
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300
of these
1700 of the vulgar sort
2000
I have also the proof of the Appendix
copy of it for your report. In this form, printed Tables &
all in double columns I do not think anyone will read it.
None but scientific men ever look into the Appendix of a Report.
And this is for the vulgar public. The only good of having
it in the Appendix at all is for the sake of the last line
on the cover of the coxcomb: "Reprinted from the ...
[sic]"(7)
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She never used the word to refer to a diagram. The "coxcomb" booklet
that she was referring to in December 1857 did not even include
the colourful "wedges" diagram, because that didn't appear until
late in 1858. The booklet to which she was referring, published
at the beginning of 1858, included the old bat's wing diagram
which was erroneous and which she replaced by the wedges later that
year.
Sir E. T. Cook's biography
of Nightingale in 1914 first used the word "coxcomb" for the late
1858 "wedges" diagram:
"England and her Soldiers, by Harriet
Martineau, 1859. Miss Nightingale's "coxcomb" diagrams were reproduced
in this volume..."(8)
It is easy to see why the
error has persisted: the diagram resembles the crest of a helmet.
In briefly surveying Nightingale's
statistical diagrams this paper is guilty of the superficiality
which Nightingale predicted, because it has focused on the coxcomb
of her report and ignored the real issues of substance. For example:
was her conclusion justified? Did sanitary improvements reduce the
mortality, or was it the reduction of trench duty as some army doctors
claimed? And the most important question of all: did she achieve
real success with these arguments, in terms of reducing the mortality
of the population as a whole?
These questions will eventually
be answered by a more thorough evaluation of material in Nightingale's
archives and elsewhere.
(1)
The Visual Display
of Quantitative Information. Graphics Press UK, P.O. Box 8, Godalming,
Surrey, GU7 3HB
(2)
BL
Add. MSS 43394, f116
(3)
Playfair, William,
The Statistical Breviary, London, 1801
(4)
[Hall, Sir John, and others] Observations
of a Non-Commissioner, n.p., n.d. [1858]
(5)
Mulhauser, Frederick L., The Correspondence
of Arthur Hugh Clough. Oxford: Clarendon, 1957
(6)
Bishop, W. J., and
Sue Goldie, A Bio-Bibliography of Florence Nightingale. London,
1962
(7)
BL Add. MSS 43394, f210. 25/12/1857. ff
215 and 219 also refer to the "coxcombs" as books. Appendix 72 of
the Royal Commission report was printed in double columns, but her
Mortality of the British Army is single column. From her letter,
it appears that there were 300 deluxe copies.
(8)
Cook, Life of Florence Nightingale, vol.
1, p. 386. Possibly the only book which more correctly associates
the word "coxcomb" with the "bat's wing" diagram is Sue Goldie's
Florence Nightingale in the Crimean War (1987), p. 94.
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