summary.manova(object, univariate=F, test="pillai", alias=F, intercept=F)
There is a choice of four tests, Pillai-Bartlett trace, Wilks' lambda, Hotelling-Lawley trace, and Roy's largest eigenvalue. These tests are transformed to an approximate F statistic (which is exact under some circumstances). The p-value for Roy's largest eigenvalue test is a lower bound for the true p-value. These tests are made under the assumptions of independent Gaussian errors with common variance matrices. The default test is the Pillai-Bartlett trace since it appears to be slightly more robust to failure of these assumptions than the other tests, and it is the most powerful under some reasonable conditions (see Hand and Taylor (1987) page 76).
Mardia, K. V., Kent, J. T. and Bibby, J. M. (1979). Multivariate Analysis. Academic Press, London.
Seber, G. A. F., (1984). Multivariate Observations. Wiley, New York.
wafer.manova <- manova(cbind(pre.mean, post.mean) ~ maskdim + visc.tem + spinsp, wafer)
summary(wafer.manova) # manova table with Pillai's trace
summary(wafer.manova, univar=T) # univariate anova tables
summary(wafer.manova, test="wilk") # manova table with Wilks' Lambda