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# correspondence analysis of combined female and male hair and eye color data
HairEyeColor %>%
rowSums(dims = 2L) %>%
MASS::corresp(nf = 2L) %>%
as_tbl_ord() %>%
augment_ord() %>%
print() -> hec_ca
# inertia across artificial coordinates (all singular values < 1)
get_inertia(hec_ca)
# in row-principal biplot, row coordinates are weighted averages of columns
hec_ca %>%
confer_inertia("rows") %>%
ggbiplot(aes(color = .matrix, fill = .matrix, shape = .matrix)) +
theme_bw() +
stat_cols_chull(alpha = .1) +
geom_cols_point() +
geom_rows_point() +
ggtitle("Row-principal CA of hair & eye color")
# in column-principal biplot, column coordinates are weighted averages of rows
hec_ca %>%
confer_inertia("cols") %>%
ggbiplot(aes(color = .matrix, fill = .matrix, shape = .matrix)) +
theme_bw() +
stat_rows_chull(alpha = .1) +
geom_rows_point() +
geom_cols_point() +
ggtitle("Column-principal CA of hair & eye color")
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