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Statistical graphics, also known as statistical graphical techniques, are
graphics Graphics () are visual images or designs on some surface, such as a wall, canvas, screen, paper, or stone, to inform, illustrate, or entertain. In contemporary usage, it includes a pictorial representation of data, as in design and manufacture, ...
used in the field of statistics for
data visualization 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 nume ...
.


Overview

Whereas statistics and
data analysis Data analysis is a process of inspecting, cleansing, transforming, and modeling data with the goal of discovering useful information, informing conclusions, and supporting decision-making. Data analysis has multiple facets and approaches, en ...
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 plot A scatter plot (also called a scatterplot, scatter graph, scatter chart, scattergram, or scatter diagram) is a type of plot or mathematical diagram using Cartesian coordinates to display values for typically two variables for a set of data. ...
s,
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 ...
s, probability plots, spaghetti plots, residual plots, box plots, block plots and biplots. Exploratory data analysis (EDA) relies heavily on such techniques. They can also provide insight into a data set to help with testing assumptions, model selection and regression model validation, estimator selection, relationship identification, factor effect determination, and
outlier In statistics, an outlier is a data point that differs significantly from other observations. An outlier may be due to a variability in the measurement, an indication of novel data, or it may be the result of experimental error; the latter are ...
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 length Length is a measure of distance. In the International System of Quantities, length is a quantity with dimension dist ...
s, and
coordinate paper Graph paper, coordinate paper, grid paper, or squared paper is writing paper that is printed with fine lines making up a regular grid. The lines are often used as guides for plotting graphs of functions or experimental data and drawing curves. I ...
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 deal ...
and related technologies.


Examples

Famous graphics were designed by: * William Playfair who produced what could be called the first
line Line most often refers to: * Line (geometry), object with zero thickness and curvature that stretches to infinity * Telephone line, a single-user circuit on a telephone communication system Line, lines, The Line, or LINE may also refer to: Art ...
,
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 (un ...
, pie, and area charts. 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 ...
'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 John Snow (15 March 1813 – 16 June 1858) was an English physician and a leader in the development of anaesthesia and medical hygiene. He is considered one of the founders of modern epidemiology, in part because of his work in tracing the ...
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'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-eigh ...
is the best known. See the plots page for many more examples of statistical graphics.


See also

* Data Presentation Architecture * List of graphical methods *
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