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Mann–Whitney–Wilcoxon (MWW/MWU), Wilcoxon rank-sum test, or Wilcoxon–Mann–Whitney test) is a nonparametric statistical test of the null hypothesis that, for randomly...

residual sum of squares (RSS), also known as the sum of squared residuals (SSR) or the sum of squared estimate of errors (SSE), is the sum of the squares...

In statistical data analysis the total sum of squares (TSS or SST) is a quantity that appears as part of a standard way of presenting results of such...

of statistical analysis is to produce information about some chosen population. In statistical inference, a subset of the population (a statistical sample)...

point statistic has two contemporary meanings. As a personal statistic, points sum the total goals and assists scored by a player. As a team statistic, points...

represent a particular statistical ensemble (which, in turn, corresponds to a particular free energy). The most common statistical ensembles have named...

the test statistic approximates a chi-squared distribution more and more closely as sample sizes increase. In the 19th century, statistical analytical...

mean, the sum of the residuals within a random sample is necessarily zero, and thus the residuals are necessarily not independent. The statistical errors...

In physics, statistical mechanics is a mathematical framework that applies statistical methods and probability theory to large assemblies of microscopic...

In statistical modeling, regression analysis is a set of statistical processes for estimating the relationships between a dependent variable (often called...

distribution of the sum of independent random variables is the convolution of their distributions. Suppose Z {\displaystyle Z} is the sum of n {\displaystyle...

number of values in the final calculation of a statistic that are free to vary. Estimates of statistical parameters can be based upon different amounts...

{\displaystyle T(\mathbf {X} )} . Typically, the sufficient statistic is a simple function of the data, e.g. the sum of all the data points. More generally, the "unknown...

statistic (singular) or sample statistic is any quantity computed from values in a sample which is considered for a statistical purpose. Statistical purposes...

squares For the "sum of squared differences", see Mean squared error For the "sum of squared error", see Residual sum of squares For the "sum of squares due...

The goodness of fit of a statistical model describes how well it fits a set of observations. Measures of goodness of fit typically summarize the discrepancy...

mathematics, the digit sum of a natural number in a given number base is the sum of all its digits. For example, the digit sum of the decimal number 9045...

with respect to the sampling distribution of the sample statistic. The MSE can be written as the sum of the variance of the estimator and the squared bias...

absolute deviation; for example, the variance of a sum of uncorrelated random variables is equal to the sum of their variances. A disadvantage of the variance...

chi-squared statistic, based on the minimized value of the residual sum of squares (objective function), S. The denominator, n − m, is the statistical degrees...