In statistics, the reduced chi-square statistic is used extensively in goodness of fit testing. It is also known as mean squared weighted deviation (MSWD)...

Pearson's chi-squared test or Pearson's χ 2 {\displaystyle \chi ^{2}} test is a statistical test applied to sets of categorical data to evaluate how likely...

In probability theory and statistics, the chi-squared distribution (also chi-square or χ 2 {\displaystyle \chi ^{2}} -distribution) with k {\displaystyle...

A chi-squared test (also chi-square or χ2 test) is a statistical hypothesis test used in the analysis of contingency tables when the sample sizes are large...

see Least 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...

Lack-of-fit sum of squares Mean squared error Reduced chi-squared statistic, RSS per degree of freedom Squared deviations Sum of squares (statistics) Archdeacon...

proportion). Chi-squared tests use the same calculations and the same probability distribution for different applications: Chi-squared tests for variance...

That fact, and the normal and chi-squared distributions given above form the basis of calculations involving the t-statistic: T = X ¯ n − μ 0 S n / n , {\displaystyle...

analysis, the term "standard error" refers either to the square root of the reduced chi-squared statistic or the standard error for a particular regression coefficient...

replaced by an estimate, the reduced chi-squared statistic, based on the minimized value of the residual sum of squares (objective function), S. The denominator...