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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).
Gene Glass (1965) noted that the rank-biserial can be derived from Spearman's . "One can derive a coefficient defined on X, the dichotomous variable, and Y, the ranking variable, which estimates Spearman's rho between X and Y in the same way that biserial r estimates Pearson's r between two normal variables” (p. 91). The rank-biserial ...
Scales such as the Wechsler Intelligence Scale for Children has been compared with Spearman's g, which shows that there has a decrease in statistic significance. [10] Research has been adapted to incorporate modern psychological topics into Spearman's Two Factor Theory of Intelligence.
The g factor [a] is a construct developed in psychometric investigations of cognitive abilities and human intelligence.It is a variable that summarizes positive correlations among different cognitive tasks, reflecting the assertion that an individual's performance on one type of cognitive task tends to be comparable to that person's performance on other kinds of cognitive tasks.
Other correlation coefficients – such as Spearman's rank correlation coefficient – have been developed to be more robust than Pearson's, that is, more sensitive to nonlinear relationships. [1] [2] [3] Mutual information can also be applied to measure dependence between two variables.
Pearson assumes the rating scale is continuous; Kendall and Spearman statistics assume only that it is ordinal. If more than two raters are observed, an average level of agreement for the group can be calculated as the mean of the r {\displaystyle r} , τ , or ρ {\displaystyle \rho } values from each possible pair of raters.
Charles Edward Spearman, FRS [1] [3] (10 September 1863 – 17 September 1945) was an English psychologist known for work in statistics, as a pioneer of factor analysis, and for Spearman's rank correlation coefficient.
Third, arguments based on Spearman's hypothesis have been criticized. Some have argued that culturally caused differences could produce a correlation between g-loadings and group differences. Flynn (2010) has criticized the basic assumption that confirmation of Spearman's hypothesis would support a partially genetic explanation for IQ differences.