Comparison diagram or comparative diagram is a general type of
diagram
A diagram is a symbolic representation of information using visualization techniques. Diagrams have been used since prehistoric times on walls of caves, but became more prevalent during the Enlightenment. Sometimes, the technique uses a three ...
, in which a comparison is made between two or more objects, phenomena or groups of data. A comparison diagram or can offer qualitative and/or quantitative information. This type of diagram can also be called comparison chart or comparison chart. The diagram itself is sometimes referred to as a
cluster diagram.
Overview
A comparison diagram is a general type of diagram, meaning a class of specific diagrams and charts, in which a comparison is made between two or more objects, phenomena or groups of data. They are a tool for
visual comparison.
When it comes to comparing data, five basic types of comparison can be determined.
* Comparison of components, for example the pieces of
pie chart
A pie chart (or a circle chart) is a circular statistical graphic, which is divided into slices to illustrate numerical proportion. In a pie chart, the arc length of each slice (and consequently its central angle and area) is proportional t ...
* Item comparison, for example the bars in a
bar chart
A bar chart or bar graph is a chart or graph that presents categorical data with rectangular bars with heights or length
Length is a measure of distance. In the International System of Quantities, length is a quantity with dimension dist ...
* Time-series comparison, for example the bars in a
histogram
A histogram is an approximate representation of the distribution of numerical data. The term was first introduced by Karl Pearson. To construct a histogram, the first step is to " bin" (or " bucket") the range of values—that is, divide the ent ...
or the curve of a
line chart
A line chart or line graph or curve chart is a type of chart which displays information as a series of data points called 'markers' connected by straight line segments. It is a basic type of chart common in many fields. It is similar to a s ...
* Frequency distribution comparison, for example the distribution in a histogram or line chart
* Correlation comparison, for example in a specific
dot diagram
Comparison diagrams can be used in
research
Research is "creative and systematic work undertaken to increase the stock of knowledge". It involves the collection, organization and analysis of evidence to increase understanding of a topic, characterized by a particular attentiveness t ...
projects, to give an overview of existing possibilities and to
validate models. It can be used in
decision making
In psychology, decision-making (also spelled decision making and decisionmaking) is regarded as the cognitive process resulting in the selection of a belief or a course of action among several possible alternative options. It could be either ra ...
in presenting alternatives for further selection. And it can be used in
education
Education is a purposeful activity directed at achieving certain aims, such as transmitting knowledge or fostering skills and character traits. These aims may include the development of understanding, rationality, kindness, and honesty. ...
to show the variety in a specific population.
History
Origins

Comparison charts originate from the late 18th century and early 19th century. One of its roots are the 18th century
nautical chart
A nautical chart is a graphic representation of a sea area and adjacent coastal regions. Depending on the scale of the chart, it may show depths of water and heights of land ( topographic map), natural features of the seabed, details of the coa ...
, which could offer a comparison of shore or coastal profiles. These were made popular by the English cartographer and a publisher of maps
William Faden William Faden (1749 – 1836) was an English cartographer and a publisher of maps. He was the royal geographer to King George III. He replaced Thomas Jefferys in that role.
The title of "geographer to the king" was given to various people in th ...
(1749–1836).
[ Wolter, J. A., �]
The Heights of Mountains and the Lengths of Rivers
��. at davidrumsey.com/blog, 2009/9/5
Another root of comparison diagrams are the earliest
thematic map
A thematic map is a type of map that portrays the geographic pattern of a particular subject matter (theme) in a geographic area. This usually involves the use of map symbols to visualize selected properties of geographic features that are no ...
s. In France in 1872
Charles-René de Fourcroy published one of the first economic thematic map, which he named "Table poléométrique" (Poleometric Table). Late 18th century
August Friedrich Wilhelm Crome
August Friedrich Wilhelm Crome (8 June 1753 in Sengwarden – 11 June 1833 in Rödelheim) was a German economist and statistician, and Professor of Cameralism at the University of Giessen. He is known particularly for his 1782 product map of Eur ...
presented a diagram, named "Groessen Karte von Europa" from 1785, where he compared the sizes of all then existing European countries. This work inspired later scientist, such as
Alexander von Humboldt
Friedrich Wilhelm Heinrich Alexander von Humboldt (14 September 17696 May 1859) was a German polymath, geographer, naturalist, explorer, and proponent of Romantic philosophy and science. He was the younger brother of the Prussian minister, ...
in Germany, and
Charles Dupin
Baron Pierre Charles François Dupin (6 October 1784, Varzy, Nièvre – 18 January 1873, Paris, France) was a French Catholic mathematician, engineer, economist and politician, particularly known for work in the field of mathematics, where the ...
in France
[ Palsky, Gilles.]
Connections and Exchanges in European Thematic Cartography. The case of XIXth century choropleth maps
" ''Formatting Europe. Mapping a continent.'' 2007 in their works. Early 19th century,
Alexander von Humboldt
Friedrich Wilhelm Heinrich Alexander von Humboldt (14 September 17696 May 1859) was a German polymath, geographer, naturalist, explorer, and proponent of Romantic philosophy and science. He was the younger brother of the Prussian minister, ...
was one of the first to picture various cross sections of mountains, including for example the "limit of perpetual snows at different latitudes," or the different kinds of vegetation on different heights. Much of this work was published in the 1914 "Atlas géographique et physique des régions équinoxiales du nouveau continent." In 1805 Von Humboldt had published a map (see image), entitled "Ideen zu einer Geographie der Pflanzen nebst einem Naturgemälde der Tropenländer" (Ideas for a geography of plants, together with a nature paintings of the tropics) in which he made a comparison of the different types of plans in the tropics, and the heights on which they grew.
First comparative charts
In the 1810s the first formal comparative mountains charts emerged. Early examples are:
* Charles Smith's ''Comparative View of the Heights of the Principal Mountains &c. In The World,'' published in London in 1816
*
John Thomson's ''A Comparative View of the Heights of the Principal Mountains and other Elevations in the World.'' published in the 1817 edition of Thomson's ''New General Atlas.''

Another popular subject became the comparative views of the lengths of the principal rivers in one country or from all over the world. In 1822
William Home Lizars
William Home Lizars (1788 – 30 March 1859) was a Scottish painter and engraver.
Life
The son of Daniel Lizars, and brother of the surgeon John Lizars, he was born at Edinburgh in 1788, and was educated at the high school there. His sister ...
presented a map, entitled "Comparative View of the Lengths of the Principal Rivers of Scotland." And in 1826
Anthony Finley (1790–1840) published a "Comparative Map of the Principle Rivers of the World."
Other types of comparison charts would soon appear. For example, the "Comprehensive atlas: geographical, historical & commercial," published by
William D. Ticknor
William Davis Ticknor I (August 6, 1810 – April 10, 1864) was an American publisher in Boston, Massachusetts, USA, and a founder of the publishing house Ticknor and Fields.
Life and work
William Davis Ticknor was born on August 6, 1810, on t ...
in 1835 contained a series of different comparison diagrams and charts on:
* Size of Continents, Oceans, Islands
* Heights of Mountains
* Lengths of Rivers
* Size of animal
* Size of planets
* Heights of monuments
* Height of edifices
* Different countries
Other popular themes in 19th century comparison diagrams were the sizes of lakes, the lengths of waterfalls, and the sizes of Islands.
One of the first maps to compare the lengths of rivers was the "Map of the Principal Rivers Throughout the World. Comparative Lengths of the Principal Rivers throughout the World." by the political economist
Henry Charles Carey and
Isaac Lea
Isaac; grc, Ἰσαάκ, Isaák; ar, إسحٰق/إسحاق, Isḥāq; am, ይስሐቅ is one of the three patriarchs of the Israelites and an important figure in the Abrahamic religions, including Judaism, Christianity, and Islam. He was t ...
published their 1822 "A Complete Historical, Chronological, and Geographical American Atlas." In this maps the lengths of the rivers, were presented in a
bar chart
A bar chart or bar graph is a chart or graph that presents categorical data with rectangular bars with heights or length
Length is a measure of distance. In the International System of Quantities, length is a quantity with dimension dist ...
with horizontal bars. In 1826 the same data was presented in a bar chart with vertical bars, entitled "Table of the comparative lengths of the principal Rivers throughout the World" (see image).
20th century
In his ''Graphic methods for presenting facts.''
Willard C. Brinton was one of the first to theorize about the existence and role or comparison in
statistical graphics
Statistical graphics, also known as statistical graphical techniques, are graphics used in the field of statistics for data visualization.
Overview
Whereas statistics and data analysis procedures generally yield their output in numeric or ta ...
. He stipulated that "the graphic method lends itself admirably to use in making comparisons. It is surprising how much clearer even simple comparisons of only two or three items will appear when their numerical value is put in graphic form rather than in figures."
Brinton, Willard Cope Willard Cope Brinton (December 22, 1880 – November 29, 1957''Mechanical Engineering,'' Vol. 80, 1958. p. 158) was an American consulting engineer, president of Brinton Associates, and information visualisation pioneer, particularly known for publi ...
. ''Graphic methods for presenting facts.'' Engineering magazine company, 1917. p. 20 Brinton showed over a dozen different types of diagrams, which could make simple comparison, and devoted another chapter on comparisons over time.
Types of comparison diagrams
There are different types of comparison diagrams called comparison diagram/chart in theory and practice, such as
*
Table
Table may refer to:
* Table (furniture), a piece of furniture with a flat surface and one or more legs
* Table (landform), a flat area of land
* Table (information), a data arrangement with rows and columns
* Table (database), how the table data ...
, data visualized in a tabular form
* Matrix based models, for example the
balanced scorecard
A balanced scorecard is a strategy performance management tool – a well structured report, that can be used by managers to keep track of the execution of activities by the staff within their control and to monitor the consequences arising from ...
* Quantitative charts such as
line chart
A line chart or line graph or curve chart is a type of chart which displays information as a series of data points called 'markers' connected by straight line segments. It is a basic type of chart common in many fields. It is similar to a s ...
,
bar chart
A bar chart or bar graph is a chart or graph that presents categorical data with rectangular bars with heights or length
Length is a measure of distance. In the International System of Quantities, length is a quantity with dimension dist ...
,
pie chart
A pie chart (or a circle chart) is a circular statistical graphic, which is divided into slices to illustrate numerical proportion. In a pie chart, the arc length of each slice (and consequently its central angle and area) is proportional t ...
,
radar chart
A radar chart is a graphical method of displaying multivariate data in the form of a two-dimensional chart of three or more quantitative variables represented on axes starting from the same point. The relative position and angle of the axes ...
,
bubble chart
A bubble chart is a type of chart that displays three dimensions of data. Each entity with its triplet (''v''1, ''v''2, ''v''3) of associated data is plotted as a disk that expresses two of the ''vi'' values through the dis