Bartlett's Correction to Wilk's Lambda for MANOVA

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The test statistic tests for independence between a set of k numeric variables and a categorical variable containing g groups:

 \Lambda = \frac{| \textbf{W} |}{| \textbf{T} |}

where

 \textbf{W} is the withinsum of squares and cross-products matrix (computed using the Calibrated Weight),
 \textbf{T} is the total sum of squares and cross-products matrix (computed using the Calibrated Weight), and
 p \approx \Pr(\chi^2_{k(g-1)} \ge \Lambda).

See also

Multivariate Tests