is_specified_output_of statistic Wilk's Lambda https://stat.ethz.ch/R-manual/R-devel/library/stats/html/summary.manova.html ## S3 method for class 'manova' summary(object, test = c("Pillai", "Wilks", "Hotelling-Lawley", "Roy"), intercept = FALSE, tol = 1e-7, ...) "Wilks' lambda is a test statistic used in multivariate analysis of variance (MANOVA) to test whether there are differences between the means of identified groups of subjects on a combination of dependent variables." Alejandra Gonzalez-Beltran Philippe Rocca-Serra http://www.blackwellpublishing.com/specialarticles/jcn_9_381.pdf https://docs.scipy.org/doc/scipy-0.14.0/reference/generated/scipy.stats.mstats.f_value_wilks_lambda.html#scipy.stats.mstats.f_value_wilks_lambda scipy.stats.mstats.f_value_wilks_lambda(ER, EF, dfnum, dfden, a, b) multivariate analysis of variance ready for release