EXERCISE 18.1
Calculate the Simplicial Depth for the Swiss bank notes data set and compare
the results to the univariate medians.
Calculate the Simplicial Depth again for the genuine and counterfeit
bank notes separately.
EXERCISE 18.2
Construct a configuration of points in

such that

from (
18.2) is not in the ``center'' of the scatterplot.
EXERCISE 18.3
Apply the SIR technique to the U.S. companies data with

and

.
Which directions do you find?
EXERCISE 18.4
Simulate a data set with

and

.
Use SIR and SIR II to find the EDR directions.
EXERCISE 18.5
Apply the Projection Pursuit technique on the Swiss bank notes data set and
compare the results to the PC analysis and the Fisher discriminant rule.
EXERCISE 18.6
Apply the SIR and SIR II technique on the car data set in Table
B.3
with

.