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Total correlation information


In probability theory and in particular in information theory, total correlation (Watanabe 1960) is one of several generalizations of the mutual information. It is also known as the multivariate constraint (Garner 1962) or multiinformation (Studený & Vejnarová 1999). It quantifies the redundancy or dependency among a set of n random variables.

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Total correlation

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In probability theory and in particular in information theory, total correlation (Watanabe 1960) is one of several generalizations of the mutual information...

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Dual total correlation

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In information theory, dual total correlation, information rate, excess entropy, or binding information is one of several known non-negative generalizations...

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Correlation

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In statistics, correlation or dependence is any statistical relationship, whether causal or not, between two random variables or bivariate data. Although...

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Pearson correlation coefficient

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In statistics, the Pearson correlation coefficient (PCC) is a correlation coefficient that measures linear correlation between two sets of data. It is...

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Classical test theory

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two statistics: the P-value (proportion) and the item-total correlation (point-biserial correlation coefficient). The P-value represents the proportion...

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Intraclass correlation

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In statistics, the intraclass correlation, or the intraclass correlation coefficient (ICC), is a descriptive statistic that can be used when quantitative...

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Mutual information

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random variables have been proposed, such as total correlation (or multi-information) and dual total correlation. The expression and study of multivariate...

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Partial correlation

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In probability theory and statistics, partial correlation measures the degree of association between two random variables, with the effect of a set of...

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List of statistics articles

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Topological data analysis Tornqvist index Total correlation Total least squares Total sum of squares Total survey error Total variation distance – a statistical...

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Rank correlation

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In statistics, a rank correlation is any of several statistics that measure an ordinal association—the relationship between rankings of different ordinal...

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Anna Karenina principle

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economic and political crisis. There was a simultaneous increase in the total correlation between the 19 major public fears in the Ukrainian society (by about...

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Coefficient of determination

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an intercept is included, then r2 is simply the square of the sample correlation coefficient (i.e., r) between the observed outcomes and the observed...

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Phi coefficient

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two binary variables. In machine learning, it is known as the Matthews correlation coefficient (MCC) and used as a measure of the quality of binary (two-class)...

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Quantum correlation

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In quantum mechanics, quantum correlation is the expected value of the product of the alternative outcomes. In other words, it is the expected change...

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Time series

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auto-correlation and cross-correlation analysis. In the time domain, correlation and analysis can be made in a filter-like manner using scaled correlation...

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Political science

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economic and political crisis. There was a simultaneous increase in the total correlation between the 19 major public fears in the Ukrainian society (by about...

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Correlation dimension

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In chaos theory, the correlation dimension (denoted by ν) is a measure of the dimensionality of the space occupied by a set of random points, often referred...

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Solvent model

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degrees of freedom. The MOZ equation splits the total correlation function in two. First the direct correlation function c(r), concerned with the effect of...

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The Authoritarian Personality

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sexual practices. Across various participant groups, the average item-total correlation was 0.33. Subsequent factor analysis confirmed a one-dimensional structure...

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Nuclear magnetic resonance spectroscopy

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spectroscopy (NOESY), total correlation spectroscopy (TOCSY), and heteronuclear correlation experiments, such as HSQC, HMQC, and HMBC. In correlation spectroscopy...

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Electronic correlation

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single-determinant approximation does not take into account Coulomb correlation, leading to a total electronic energy different from the exact solution of the...

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Nuclear magnetic resonance spectroscopy of proteins

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experiments through correlation spectroscopy (COSY), of which several types include conventional correlation spectroscopy, total correlation spectroscopy (TOCSY)...

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Illusory correlation

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In psychology, illusory correlation is the phenomenon of perceiving a relationship between variables (typically people, events, or behaviors) even when...

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Genetic correlation

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In multivariate quantitative genetics, a genetic correlation (denoted r g {\displaystyle r_{g}} or r a {\displaystyle r_{a}} ) is the proportion of variance...

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Ising model

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where to go at each step. A bound on the total correlation is given by the contribution to the correlation by summing over all paths linking two points...

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