Graphical Technique
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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 tabular form, graphical techniques allow such results to be displayed in some sort of pictorial form. They include plots such as scatter plots, histograms, probability plots,
spaghetti plot A spaghetti plot (also known as a spaghetti chart, spaghetti diagram, or spaghetti model) is a method of viewing data to visualize possible flows through systems. Flows depicted in this manner appear like noodles, hence the coining of this term. ...
s, residual plots,
box plot In descriptive statistics, a box plot or boxplot is a method for graphically demonstrating the locality, spread and skewness groups of numerical data through their quartiles. In addition to the box on a box plot, there can be lines (which are ca ...
s, block plots and
biplot Biplots are a type of exploratory graph used in statistics, a generalization of the simple two-variable scatterplot. A biplot overlays a ''score plot'' with a ''loading plot''. A biplot allows information on both samples and variables of a d ...
s.
Exploratory data analysis In statistics, exploratory data analysis (EDA) is an approach of analyzing data sets to summarize their main characteristics, often using statistical graphics and other data visualization methods. A statistical model can be used or not, but pri ...
(EDA) relies heavily on such techniques. They can also provide insight into a data set to help with testing assumptions,
model selection Model selection is the task of selecting a statistical model from a set of candidate models, given data. In the simplest cases, a pre-existing set of data is considered. However, the task can also involve the design of experiments such that the ...
and
regression model validation In statistics, regression validation is the process of deciding whether the numerical results quantifying hypothesized relationships between variables, obtained from regression analysis, are acceptable as descriptions of the data. The validation ...
, estimator selection, relationship identification, factor effect determination, and outlier detection. In addition, the choice of appropriate statistical graphics can provide a convincing means of communicating the underlying message that is present in the data to others. Graphical statistical methods have four objectives: * The exploration of the content of a data set * The use to find structure in data * Checking assumptions in statistical models * Communicate the results of an analysis. If one is not using statistical graphics, then one is forfeiting insight into one or more aspects of the underlying structure of the data.


History

Statistical graphics have been central to the development of science and date to the earliest attempts to analyse data. Many familiar forms, including bivariate plots, statistical maps,
bar chart A bar chart or bar graph is a chart or graph that presents categorical data with rectangular bars with heights or lengths proportional to the values that they represent. The bars can be plotted vertically or horizontally. A vertical bar chart i ...
s, and coordinate paper were used in the 18th century. Statistical graphics developed through attention to four problems: James R. Beniger and Dorothy L. Robyn (1978). "Quantitative graphics in statistics: A brief history". In: ''The American Statistician''. 32: pp. 1–11. * Spatial organization in the 17th and 18th century * Discrete comparison in the 18th and early 19th century * Continuous distribution in the 19th century and * Multivariate distribution and correlation in the late 19th and 20th century. Since the 1970s statistical graphics have been re-emerging as an important analytic tool with the revitalisation of
computer graphics Computer graphics deals with generating images with the aid of computers. Today, computer graphics is a core technology in digital photography, film, video games, cell phone and computer displays, and many specialized applications. A great de ...
and related technologies.


Examples

Famous graphics were designed by: *
William Playfair William Playfair (22 September 1759 – 11 February 1823), a Scottish engineer and political economist, served as a secret agent on behalf of Great Britain during its war with France. The founder of graphical methods of statistics, Playfai ...
who produced what could be called the first line,
bar Bar or BAR may refer to: Food and drink * Bar (establishment), selling alcoholic beverages * Candy bar * Chocolate bar Science and technology * Bar (river morphology), a deposit of sediment * Bar (tropical cyclone), a layer of cloud * Bar (u ...
, pie, and
area chart An area chart or area graph displays graphically quantitative data. It is based on the line chart. The area between axis and line are commonly emphasized with colors, textures and hatchings. Commonly one compares two or more quantities with an ar ...
s. For example, in 1786 he published the well known diagram that depicts the evolution of
England England is a country that is part of the United Kingdom. It shares land borders with Wales to its west and Scotland to its north. The Irish Sea lies northwest and the Celtic Sea to the southwest. It is separated from continental Europe b ...
's imports and exports, *
Florence Nightingale Florence Nightingale (; 12 May 1820 – 13 August 1910) was an English social reformer, statistician and the founder of modern nursing. Nightingale came to prominence while serving as a manager and trainer of nurses during the Crimean War, i ...
, who used statistical graphics to persuade the British Government to improve army hygiene, * John Snow who plotted deaths from cholera in
London London is the capital and List of urban areas in the United Kingdom, largest city of England and the United Kingdom, with a population of just under 9 million. It stands on the River Thames in south-east England at the head of a estuary dow ...
in 1854 to detect the source of the disease, and * Charles Joseph Minard who designed a large portfolio of maps of which the one depicting
Napoleon Napoleon Bonaparte ; it, Napoleone Bonaparte, ; co, Napulione Buonaparte. (born Napoleone Buonaparte; 15 August 1769 – 5 May 1821), later known by his regnal name Napoleon I, was a French military commander and political leader who ...
's campaign in
Russia Russia (, , ), or the Russian Federation, is a transcontinental country spanning Eastern Europe and Northern Asia. It is the largest country in the world, with its internationally recognised territory covering , and encompassing one-eig ...
is the best known. See the plots page for many more examples of statistical graphics.


See also

*
Data Presentation Architecture Data and information visualization (data viz or info viz) is an interdisciplinary field that deals with the graphic representation of data and information. It is a particularly efficient way of communicating when the data or information is num ...
*
List of graphical methods This is a list of graphical methods with a mathematical basis. Included are diagram techniques, chart techniques, plot techniques, and other forms of visualization. There is also a list of computer graphics and descriptive geometry topics. Simp ...
*
Visual inspection Visual inspection is a common method of quality control, data acquisition, and data analysis. Visual Inspection, used in maintenance of facilities, mean inspection of equipment and structures using either or all of raw human senses such as vision, ...
* Chart *
List of charting software There are many different types of software available to produce charts. A number of notable examples (with their own Wikipedia articles) are given below and organized according to the programming language or other context in which they are used. ...


References

; Citations ; Attribution


Further reading

* * * * *


External links


Trend CompassDataScope a website devoted to data visualization and statistical graphics
{{Visualization Infographics