• In probability theory and statistics, the mathematical concepts of covariance and correlation are very similar. Both describe the degree to which two...
    4 KB (638 words) - 20:58, 15 March 2023
  • that are in common for the two random variables. The correlation coefficient normalizes the covariance by dividing by the geometric mean of the total variances...
    29 KB (4,754 words) - 01:56, 4 May 2025
  • Thumbnail for Correlation
    correlation coefficient Cophenetic correlation Correlation disattenuation Correlation function Correlation gap Covariance Covariance and correlation Cross-correlation...
    39 KB (5,359 words) - 04:50, 11 June 2025
  • statistics, canonical-correlation analysis (CCA), also called canonical variates analysis, is a way of inferring information from cross-covariance matrices. If...
    24 KB (3,645 words) - 16:25, 25 May 2025
  • Thumbnail for Covariance matrix
    theory and statistics, a covariance matrix (also known as auto-covariance matrix, dispersion matrix, variance matrix, or variance–covariance matrix)...
    37 KB (5,799 words) - 21:03, 14 April 2025
  • Thumbnail for Distance correlation
    In statistics and in probability theory, distance correlation or distance covariance is a measure of dependence between two paired random vectors of arbitrary...
    24 KB (3,859 words) - 08:19, 9 April 2025
  • partial correlations can be challenging. In this scenario, the sample covariance Σ ^ {\displaystyle {\hat {\Sigma }}} is not well-conditioned, and finding...
    24 KB (3,782 words) - 08:17, 28 March 2025
  • Thumbnail for Pearson correlation coefficient
    has a value between −1 and 1. As with covariance itself, the measure can only reflect a linear correlation of variables, and ignores many other types...
    58 KB (8,398 words) - 20:34, 9 June 2025
  • Correlation does not imply causation Covariance function Pearson product-moment correlation coefficient Correlation function (astronomy) Correlation function...
    6 KB (889 words) - 21:03, 14 April 2025
  • Thumbnail for Cross-correlation
    Convolution Correlation Correlation function Cross-correlation matrix Cross-covariance Cross-spectrum Digital image correlation Phase correlation Scaled correlation...
    26 KB (4,083 words) - 05:53, 30 April 2025
  • exponential and squared exponential covariance functions as special cases. Autocorrelation function Correlation function Covariance matrix Covariance operator –...
    4 KB (582 words) - 18:22, 13 June 2024
  • In statistics, the interclass correlation (or interclass correlation coefficient) measures the relationship between two variables of different classes...
    2 KB (193 words) - 10:09, 10 October 2024
  • The phrase "correlation does not imply causation" refers to the inability to legitimately deduce a cause-and-effect relationship between two events or...
    27 KB (3,383 words) - 18:58, 30 May 2025
  • Thumbnail for Correlation function (statistical mechanics)
    mechanics, the correlation function is a measure of the order in a system, as characterized by a mathematical correlation function. Correlation functions describe...
    27 KB (3,959 words) - 10:41, 5 June 2025
  • Thumbnail for Autocorrelation
    Autocorrelation, sometimes known as serial correlation in the discrete time case, measures the correlation of a signal with a delayed copy of itself....
    39 KB (5,833 words) - 11:10, 13 June 2025
  • In statistics, and especially in biostatistics, cophenetic correlation (more precisely, the cophenetic correlation coefficient) is a measure of how faithfully...
    4 KB (438 words) - 17:22, 21 March 2024
  • Thumbnail for Eddy covariance
    The eddy covariance (also known as eddy correlation and eddy flux) is a key atmospheric measurement technique to measure and calculate vertical turbulent...
    22 KB (2,538 words) - 19:18, 23 May 2025
  • Thumbnail for Spearman's rank correlation coefficient
    In statistics, Spearman's rank correlation coefficient or Spearman's ρ is a number ranging from -1 to 1 that indicates how strongly two sets of ranks...
    33 KB (4,339 words) - 05:44, 7 June 2025
  • In probability theory and in particular in information theory, total correlation (Watanabe 1960) is one of several generalizations of the mutual information...
    8 KB (1,437 words) - 16:58, 9 December 2021
  • In probability theory and statistics, a cross-covariance matrix is a matrix whose element in the i, j position is the covariance between the i-th element...
    7 KB (1,255 words) - 21:03, 14 April 2025
  • remaining element is known. Exchangeable sequences have some basic covariance and correlation properties which mean that they are generally positively correlated...
    17 KB (2,561 words) - 20:51, 5 March 2025
  • individual's genotype. Gene–environment correlations (or rGE) is correlation of two traits, e.g. height and weight, which would mean that when one changes...
    14 KB (1,785 words) - 20:47, 7 February 2025
  • Thumbnail for Intraclass correlation
    same level have covariance $\sigma^2$?, URL (version: 2016-03-22) link Stanish W, Taylor N (1983). "Estimation of the Intraclass Correlation Coefficient for...
    24 KB (3,277 words) - 16:46, 9 October 2024
  • Thumbnail for Principal component analysis
    also related to canonical correlation analysis (CCA). CCA defines coordinate systems that optimally describe the cross-covariance between two datasets while...
    117 KB (14,851 words) - 06:44, 17 June 2025
  • In probability theory and statistics, given a stochastic process, the autocovariance is a function that gives the covariance of the process with itself...
    8 KB (1,345 words) - 05:25, 12 January 2025
  • Thumbnail for Wiener process
    ( 0 , t ) . {\displaystyle W_{t}=W_{t}-W_{0}\sim N(0,t).} The covariance and correlation (where s ≤ t {\displaystyle s\leq t} ): cov ⁡ ( W s , W t ) =...
    35 KB (5,874 words) - 23:58, 7 June 2025
  • covariance, also called the Matérn kernel, is a covariance function used in spatial statistics, geostatistics, machine learning, image analysis, and other...
    7 KB (1,347 words) - 21:45, 20 April 2025
  • In statistics, polychoric correlation is a technique for estimating the correlation between two hypothesised normally distributed continuous latent variables...
    4 KB (440 words) - 13:06, 18 March 2023
  • In statistics, the concordance correlation coefficient measures the agreement between two variables, e.g., to evaluate reproducibility or for inter-rater...
    5 KB (837 words) - 17:25, 21 May 2025
  • (sample average) or empirical mean (empirical average), and the sample covariance or empirical covariance are statistics computed from a sample of data on one...
    13 KB (2,206 words) - 14:55, 21 May 2025