I wonder how to extract the Multivariate Tests: Site portion from the output of fm1 in the following MWE.
library(car)
fm1 <- summary(Anova(lm(cbind(Al, Fe, Mg, Ca, Na) ~ Site, data=Pottery)))
fm1
Type II MANOVA Tests:
Sum of squares and products for error:
Al Fe Mg Ca Na
Al 48.2881429 7.08007143 0.60801429 0.10647143 0.58895714
Fe 7.0800714 10.95084571 0.52705714 -0.15519429 0.06675857
Mg 0.6080143 0.52705714 15.42961143 0.43537714 0.02761571
Ca 0.1064714 -0.15519429 0.43537714 0.05148571 0.01007857
Na 0.5889571 0.06675857 0.02761571 0.01007857 0.19929286
------------------------------------------
Term: Site
Sum of squares and products for the hypothesis:
Al Fe Mg Ca Na
Al 175.610319 -149.295533 -130.809707 -5.8891637 -5.3722648
Fe -149.295533 134.221616 117.745035 4.8217866 5.3259491
Mg -130.809707 117.745035 103.350527 4.2091613 4.7105458
Ca -5.889164 4.821787 4.209161 0.2047027 0.1547830
Na -5.372265 5.325949 4.710546 0.1547830 0.2582456
Multivariate Tests: Site
Df test stat approx F num Df den Df Pr(>F)
Pillai 3 1.55394 4.29839 15 60.00000 2.4129e-05 ***
Wilks 3 0.01230 13.08854 15 50.09147 1.8404e-12 ***
Hotelling-Lawley 3 35.43875 39.37639 15 50.00000 < 2.22e-16 ***
Roy 3 34.16111 136.64446 5 20.00000 9.4435e-15 ***
---
Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
I also couldn't find how to extract the table of tests but as a workaround you can calculate the results by running the Anova command over all test types.
However the print method, print.Anova.mlm does not return the results, so this needs to be tweaked a little.
library(car)
# create new print function
outtests <- car:::print.Anova.mlm
# allow the function to return the results and disable print
body(outtests)[[16]] <- quote(invisible(tests))
body(outtests)[[15]] <- NULL
# Now run the regression
mod <- lm(cbind(Al, Fe, Mg, Ca, Na) ~ Site, data=Pottery)
# Run the Anova over all tests
tab <- lapply(c("Pillai", "Wilks", "Hotelling-Lawley", "Roy"),
function(i) outtests(Anova(mod, test.statistic=i)))
tab <- do.call(rbind, tab)
row.names(tab) <- c("Pillai", "Wilks", "Hotelling-Lawley", "Roy")
tab
# Type II MANOVA Tests: Pillai test statistic
# Df test stat approx F num Df den Df Pr(>F)
#Pillai 3 1.554 4.298 15 60.000 2.413e-05 ***
#Wilks 3 0.012 13.089 15 50.091 1.840e-12 ***
#Hotelling-Lawley 3 35.439 39.376 15 50.000 < 2.2e-16 ***
#Roy 3 34.161 136.644 5 20.000 9.444e-15 ***
#---
#Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
As the output table is of class anova and data.frame you can use xtable on it.
xtable:::xtable(tab)