Statistical graphics

Statistical graphics

thumb|240px|John Snow's Cholera map in dot style, 1854.
Statistical graphics, also known as graphical techniques, are information graphics in the field of statistics used to visualize quantitative data.


Statistics and data analysis procedures can broadly be split into two parts: quantitative techniques and graphical techniques. Quantitative techniques are the set of statistical procedures that yield numeric or tabular output. Examples of quantitative techniques include hypothesis testing, analysis of variance, point estimation, confidence intervals, and least squares regression. These and similar techniques are all valuable and are mainstream in terms of classical analysis.Text from a public domain publication of the National Institute of Standards and Technology, a U.S. government agency.]

On the other hand, there is a large collection of statistical tools that we generally refer to as graphical techniques. These include: scatter plots, histograms, probability plots, residual plots, box plots, block plots, and biplots. Exploratory data analysis (EDA) relies heavily on these and similar graphical techniques. Graphical procedures are not just tools used in an EDA context; such graphical tools are the shortest path to gaining insight into a data set in terms of testing assumptions, model selection and statistical model validation, estimator selection, relationship identification, factor effect determination, and outlier detection. In addition, good 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: [ William G. Jacoby (1997). "Statistical Graphics for Univariate and Bivariate Data: Statistical Graphics" pp.2–4]
* 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.


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 charts, 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: "TheAmerican 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 1970th statistical graphics have been re-emerging as an important analytic tool with the revitalisation of computer graphics and related technologies.


Famous graphics were designed by:
* William Playfair who published what could be called the first pie chart and the well known diagram that depicts the evolution of England's imports and exports.
* Florence Nightingale, who used statistical graphics to persuade the British Government to improve army hygiene,
* John Snow who plotted deaths from cholera in London 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 is the best known.

A special type of statistical graphic are the so called isotypes. These are graphical tools designed by Otto Neurath with the specific purpose of achieving changes in society through visual education of the masses.

See also

*List of graphical methods
*Visual inspection


Further reading

*cite book |last=W.S. Cleveland|first= |authorlink= |coauthors= |title=Visualizing Data|year=1993 |publisher=Hobart Press |location= Summit, NJ, USA|id=ISBN 0-9634884-0-6
*cite book |last=W.S. Cleveland|first= |authorlink= |coauthors= |title=The Elements of Graphing Data|year=1994 |publisher=Hobart Press |location= Summit, NJ, USA|id=ISBN 0-9634884-1-4
*cite book|last=Edward R.Tufte|first=|authorlink=Edward Tufte|title=The Visual Display of Quantitative Information|origyear=1983|edition=2nd Edition|year=2001|publisher=Graphics Press|location=Cheshire, CT, USA|isbn=0-9613921-4-2
*cite book|last=Edward R. Tufte|first=|authorlink=Edward Tufte|title=Envisioning Information|origyear=1990|edition=|year=1992|publisher=Graphics Press|location=Cheshire, CT, USA|isbn=0-961-39211-8

External links

* [ Alphabetic gallery of graphical techniques]
* [ DataScope a website devoted to data visualization and statistical graphics]

Wikimedia Foundation. 2010.

Игры ⚽ Нужно решить контрольную?

Look at other dictionaries:

  • Statistical inference — In statistics, statistical inference is the process of drawing conclusions from data that are subject to random variation, for example, observational errors or sampling variation.[1] More substantially, the terms statistical inference,… …   Wikipedia

  • Statistical hypothesis testing — This article is about frequentist hypothesis testing which is taught in introductory statistics. For Bayesian hypothesis testing, see Bayesian inference. A statistical hypothesis test is a method of making decisions using data, whether from a… …   Wikipedia

  • Statistical dispersion — In statistics, statistical dispersion (also called statistical variability or variation) is variability or spread in a variable or a probability distribution. Common examples of measures of statistical dispersion are the variance, standard… …   Wikipedia

  • Graphics — (from Greek gr. ; see graphy) are visual presentations on some surface, such as a wall, canvas, computer screen, paper, or stone to brand, inform, illustrate, or entertain. Examples are photographs, drawings, Line Art, graphs, diagrams,… …   Wikipedia

  • Statistical survey — Statistical surveys are used to collect quantitative information about items in a population. Surveys of human populations and institutions are common in political polling and government, health, social science and marketing research. A survey… …   Wikipedia

  • Information graphics — or infographics are visual representations of information, data or knowledge. These graphics are used where complex information needs to be explained quickly and clearly Doug Newsom and Jim Haynes (2004). Public Relations Writing: Form and Style …   Wikipedia

  • Plot (graphics) — Scatterplot of the eruption interval for Old Faithful (a geyser). A plot is a graphical technique for representing a data set, usually as a graph showing the relationship between two or more variables. The plot can be drawn by hand or by a… …   Wikipedia

  • Computer graphics — This article is about graphics created using computers. For the article about the scientific study of computer graphics, see Computer graphics (computer science). For other uses, see Computer graphics (disambiguation). A Blender 2.45 screenshot,… …   Wikipedia

  • Rendering (computer graphics) — Not to be confused with 3D rendering. A variety of rendering techniques applied to a single 3D scene …   Wikipedia

  • Visualization (computer graphics) — See also Visualization and Information graphics Visualization is any technique for creating images, diagrams, or animations to communicate a message. Visualization through visual imagery has been an effective way to communicate both abstract and… …   Wikipedia

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”