R studio

MthStat 568/768 �Multivariate Statistical Analysis �Spring 2025

Homework 6

Due Wednesday, April 23

1. Consider the pendigits data set, which are samples of handwritten digits 0; 1; : : : ; 9. The feature variables in this case are the (x; y) coordinates of the pen tip, dis- cretized at eight time points (see section 7.2.1 of the book for more details).

(a) Split the data set into training and test sets (roughly a 70/30 split). Com- pute Gaussian-kernel support vector machine classi�ers for several values of the tuning parameter . For each , �nd the misclassi�cation rate on the test set. What�s the lowest MCR attained?

(b) For the optimal found in (a), construct the misclassi�cation table for the test data. Which digit seems to be the hardest to classify correctly?