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  2. Pearson correlation coefficient - Wikipedia

    en.wikipedia.org/wiki/Pearson_correlation...

    Pearson's correlation coefficient is the covariance of the two variables divided by the product of their standard deviations. The form of the definition involves a "product moment", that is, the mean (the first moment about the origin) of the product of the mean-adjusted random variables; hence the modifier product-moment in the name.

  3. Intraclass correlation - Wikipedia

    en.wikipedia.org/wiki/Intraclass_correlation

    An important property of the Pearson correlation is that it is invariant to application of separate linear transformations to the two variables being compared. Thus, if we are correlating X and Y, where, say, Y = 2X + 1, the Pearson correlation between X and Y is 1 — a perfect correlation. This property does not make sense for the ICC, since ...

  4. Correlation coefficient - Wikipedia

    en.wikipedia.org/wiki/Correlation_coefficient

    The Pearson product-moment correlation coefficient, also known as r, R, or Pearson's r, is a measure of the strength and direction of the linear relationship between two variables that is defined as the covariance of the variables divided by the product of their standard deviations. [ 4] This is the best-known and most commonly used type of ...

  5. The activity is designed to help students better understand how statistical measures are "invented" and why certain measures are preferred. (Contains 8 figures and 3 tables.) National Council of Teachers of Mathematics. 1906 Association Drive, Reston, VA 20191-1502. Tel: 800-235-7566; Tel: 703-620-3702; Fax: 703-476-2970; e-mail: orders@nctm ...

  6. Spearman's rank correlation coefficient - Wikipedia

    en.wikipedia.org/wiki/Spearman's_rank_correlation...

    In statistics, Spearman's rank correlation coefficient or Spearman's ρ, named after Charles Spearman [ 1] and often denoted by the Greek letter (rho) or as , is a nonparametric measure of rank correlation ( statistical dependence between the rankings of two variables ). It assesses how well the relationship between two variables can be ...

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  8. When weights are used, the correlation coefficients are calculated with so called sample weights or inverse probability weights. 2. This vignette introduces the methodology used in the wCorr package for computing the Pearson, Spearman, polyserial, and polychoric correlations, with and without weights applied.

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