For cross-tabulation that aggregates by summing, averaging, etc. (rather than only by counting), see Pivot table.
In statistics, a contingency table (also known as a cross tabulation or crosstab) is a type of table in a matrix format that displays the multivariate frequency distribution of the variables. They are heavily used in survey research, business intelligence, engineering, and scientific research. They provide a basic picture of the interrelation between two variables and can help find interactions between them. The term contingency table was first used by Karl Pearson in "On the Theory of Contingency and Its Relation to Association and Normal Correlation",[1] part of the Drapers' Company Research Memoirs Biometric Series I published in 1904.
A crucial problem of multivariate statistics is finding the (direct-)dependence structure underlying the variables contained in high-dimensional contingency tables. If some of the conditional independences are revealed, then even the storage of the data can be done in a smarter way (see Lauritzen (2002)). In order to do this one can use information theory concepts, which gain the information only from the distribution of probability, which can be expressed easily from the contingency table by the relative frequencies.
A pivot table is a way to create contingency tables using spreadsheet software.
^Karl Pearson, F.R.S. (1904). Mathematical contributions to the theory of evolution. Dulau and Co.
In statistics, a contingencytable (also known as a cross tabulation or crosstab) is a type of table in a matrix format that displays the multivariate...
e. commonly mislabeling one as another). It is a special kind of contingencytable, with two dimensions ("actual" and "predicted"), and identical sets...
\ldots ,Y_{s}\}} , the overlap between X and Y can be summarized in a contingencytable [ n i j ] {\displaystyle \left[n_{ij}\right]} where each entry n i...
another gold standard test – and cross tabulates the data into a 2×2 contingencytable, comparing the two classifications. One then evaluates the classifier...
intervals. Often, purely categorical data are summarised in the form of a contingencytable. However, particularly when considering data analysis, it is common...
for some condition. The four outcomes can be formulated in a 2×2 contingencytable or confusion matrix, as follows: the number of real positive cases...
interpolation methods, results can be a bit crude. The Nearest-Rank Methods table shows the computational steps for exclusive and inclusive methods. Interpolation...
argued to be flawed as they ignore the true negative cell of the contingencytable, and they are easily manipulated by biasing the predictions. The first...
linear model form of regression analysis used to model count data and contingencytables. Poisson regression assumes the response variable Y has a Poisson...
In statistics, the phi coefficient (or mean square contingency coefficient and denoted by φ or rφ) is a measure of association for two binary variables...
{\displaystyle H_{N}=594} stayed healthy. We can organize this in a contingencytable: Diseased Healthy Exposed 20 380 Not exposed 6 594 {\displaystyle...
is the statistical process of adjusting data sample weights of a contingencytable to match desired marginal totals. "1. How different weighting methods...
test χ 2 {\displaystyle \chi ^{2}} test nominal non-parametric No Contingencytable, sample size > ca. 60, any cell content ≥ 5, marginal totals fixed...
ordinary median. The following table has 13 rows, and follows the rules for the odd number of entries. For the data in this table the interquartile range is...
Continuous data Count data Index of dispersion Summary tablesContingencytable Frequency distribution Grouped data Dependence Partial correlation Pearson...
analysis of rates of disability, morbidity, mortality, fertility and other contingencies. The effects of consumer choice and the geographical distribution of...
number of later articles that cite articles in a given journal. League table Ordinal data Percentile rank Rating (disambiguation) "Definition of RANKING"...
standard deviations of the mean is at least as much as given in the following table. The central limit theorem states that the distribution of an average of...
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