Table Diagonalization
Diagonalization is the process of re-ordering the rows and columns of tables and charts so that the data forms an approximately diagonal line.Jacques Bertin, ''Semiology of Graphics: Diagrams, Networks, Maps''. ESRI Press, 2010, 168-169. This makes it easier for people to see patterns in the data. Diagonalization typically involves either raw data, percentages, mean There are several kinds of mean in mathematics, especially in statistics. Each mean serves to summarize a given group of data, often to better understand the overall value ( magnitude and sign) of a given data set. For a data set, the '' ari ...s or residuals. Generally once tables are diagonalized one of two patterns appears: hierarchy or segmentation References {{Reflist * Infographics ...
[...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  

Matrix Diagonalization
In linear algebra, a square matrix A is called diagonalizable or non-defective if it is similar to a diagonal matrix, i.e., if there exists an invertible matrix P and a diagonal matrix D such that or equivalently (Such D are not unique.) For a finite-dimensional vector space a linear map T:V\to V is called diagonalizable if there exists an ordered basis of V consisting of eigenvectors of T. These definitions are equivalent: if T has a matrix representation T = PDP^ as above, then the column vectors of P form a basis consisting of eigenvectors of and the diagonal entries of D are the corresponding eigenvalues of with respect to this eigenvector basis, A is represented by Diagonalization is the process of finding the above P and Diagonalizable matrices and maps are especially easy for computations, once their eigenvalues and eigenvectors are known. One can raise a diagonal matrix D to a power by simply raising the diagonal entries to that power, and the determi ...
[...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  

Diagonalization (other)
In logic and mathematics, diagonalization may refer to: * Matrix diagonalization, a construction of a diagonal matrix (with nonzero entries only on the main diagonal) that is similar to a given matrix * Diagonal argument (other), various closely related proof techniques, including: ** Cantor's diagonal argument, used to prove that the set of real numbers is not countable ** Diagonal lemma, used to create self-referential sentences in formal logic * Table diagonalization Diagonalization is the process of re-ordering the rows and columns of tables and charts so that the data forms an approximately diagonal line.Jacques Bertin, '' Semiology of Graphics: Diagrams, Networks, Maps''. ESRI Press, 2010, 168-169. This m ..., a form of data reduction used to make interpretation of tables and charts easier. {{mathematical disambiguation ...
[...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  

Jacques Bertin
Jacques Bertin (27 July 1918 – 3 May 2010) was a French cartographer and theorist, known from his book ''Semiologie Graphique'' (''Semiology of Graphics''), published in 1967. This monumental work, based on his experience as a cartographer and geographer, represents the first and widest intent to provide a theoretical foundation to Information Visualization,Juan C. Dürsteler (2000-08)Interview with Jacques Bertin Retrieved 23 June 2008. with his most lasting contribution being his set of visual variables that can be used to construct map symbols and other graphical techniques one of then being the Bertin Projection, an innovative map projection type. Biography Jacques Bertin was born in 1918 in Maisons-Laffitte, Yvelines. When he was 10, he received the first prize of cartography at primary school. He never had problems with drawing, and pursued interests including architecture, the teaching of drawing and cartography. Finally he ended up studying geography and cartography ...
[...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  

Diagonalization Examples
In logic and mathematics, diagonalization may refer to: * Matrix diagonalization, a construction of a diagonal matrix (with nonzero entries only on the main diagonal) that is similar to a given matrix * Diagonal argument (other), various closely related proof techniques, including: ** Cantor's diagonal argument, used to prove that the set of real numbers is not countable **Diagonal lemma, used to create self-referential sentences in formal logic * Table diagonalization, a form of data reduction Data reduction is the transformation of numerical or alphabetical digital information derived empirically or experimentally into a corrected, ordered, and simplified form. The purpose of data reduction can be two-fold: reduce the number of data reco ...

Raw Data
Raw data, also known as primary data, are ''data'' (e.g., numbers, instrument readings, figures, etc.) collected from a source. In the context of examinations, the raw data might be described as a raw score (after test scores). If a scientist sets up a computerized thermometer which records the temperature of a chemical mixture in a test tube every minute, the list of temperature readings for every minute, as printed out on a spreadsheet or viewed on a computer screen are "raw data". Raw data have not been subjected to processing, "cleaning" by researchers to remove outliers, obvious instrument reading errors or data entry errors, or any analysis (e.g., determining central tendency aspects such as the average or median result). As well, raw data have not been subject to any other manipulation by a software program or a human researcher, analyst or technician. They are also referred to as ''primary'' data. Raw data is a relative term (see data), because even once raw data h ...
[...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  

Mean
There are several kinds of mean in mathematics, especially in statistics. Each mean serves to summarize a given group of data, often to better understand the overall value ( magnitude and sign) of a given data set. For a data set, the '' arithmetic mean'', also known as "arithmetic average", is a measure of central tendency of a finite set of numbers: specifically, the sum of the values divided by the number of values. The arithmetic mean of a set of numbers ''x''1, ''x''2, ..., x''n'' is typically denoted using an overhead bar, \bar. If the data set were based on a series of observations obtained by sampling from a statistical population, the arithmetic mean is the '' sample mean'' (\bar) to distinguish it from the mean, or expected value, of the underlying distribution, the '' population mean'' (denoted \mu or \mu_x).Underhill, L.G.; Bradfield d. (1998) ''Introstat'', Juta and Company Ltd.p. 181/ref> Outside probability and statistics, a wide range of other notions of m ...
[...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  

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 primarily EDA is for seeing what the data can tell us beyond the formal modeling and thereby contrasts traditional hypothesis testing. Exploratory data analysis has been promoted by John Tukey since 1970 to encourage statisticians to explore the data, and possibly formulate hypotheses that could lead to new data collection and experiments. EDA is different from initial data analysis (IDA), which focuses more narrowly on checking assumptions required for model fitting and hypothesis testing, and handling missing values and making transformations of variables as needed. EDA encompasses IDA. Overview Tukey defined data analysis in 1961 as: "Procedures for analyzing data, techniques for interpreting the results of such procedures, ways of planni ...
[...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]