Find the relative importance of each discriminant function. Determine the number of discriminant functions required

INSTRUCTIONS TO CANDIDATES

ANSWER ALL QUESTIONS

Applied Multivariate Data Analysis 

1. Recall the data set “T5 5 FBEETLES.DAT” (can be found in Canvas) from HW 3.

(a) Find the Fisher’s classification function z = (y¯1 − y¯2)′S−p 1y and the cutoff point  1 (z¯1 +z¯2).

(b) Find the classification table (confusion matrix) using the Fisher’s linear classification rule found in part (a), applied to the training data.

(c) (Graduate students only) Suppose, in nature, the proportions of two species of flea beetles are given as Haltica oleracea : Haltica carduorum = 0.9 : 0.1, and hence the prior is given as p1 = 0.9, and p2 = 0.1. If we want to reflect this prior to our classification rule, we can apply the normal-based classification rule. Assume the misclassification costs are the same (i.e., c12 = c21).  Update the cutoff point accordingly, and describe how does the imbalanced prior affect the classification rule.

2. The data set “T6 2 ROOT.DAT” (can be found in Canvas) includes  the  measurements  of apple trees of six different rootstocks.

(a) Find the eigenvalues and eigenvectors of E−1H. 

(b) Find the relative importance of each discriminant function. Determine the number of discriminant functions required to account for 90% of relative importance.

(c) (Graduate students only) Plot the first two discriminant function for each observation and for the mean vectors. Describe what you observed.

(d) Assuming equal misclassification costs and priors, conduct the linear classification and find the classification table (confusion matrix).

3. Use the data set “T3 8 GLUCOSE.DAT” (can be found in Canvas).

(a) Find canonical correlations between (y1, y2, y3) and (x1, x2, x3).

(b) Find the standardized coefficients for the canonical variates, and interpret the results.

Attachments:

Related Questions

. The fundamental operations of create, read, update, and delete (CRUD) in either Python or Java

CS 340 Milestone One Guidelines and Rubric  Overview: For this assignment, you will implement the fundamental operations of create, read, update,

. Develop a program to emulate a purchase transaction at a retail store. This  program will have two classes, a LineItem class and a Transaction class

Retail Transaction Programming Project  Project Requirements:  Develop a program to emulate a purchase transaction at a retail store. This

. The following program contains five errors. Identify the errors and fix them

7COM1028   Secure Systems Programming   Referral Coursework: Secure

. Accepts the following from a user: Item Name Item Quantity Item Price Allows the user to create a file to store the sales receipt contents

Create a GUI program that:Accepts the following from a user:Item NameItem QuantityItem PriceAllows the user to create a file to store the sales receip

. The final project will encompass developing a web service using a software stack and implementing an industry-standard interface. Regardless of whether you choose to pursue application development goals as a pure developer or as a software engineer

CS 340 Final Project Guidelines and Rubric  Overview The final project will encompass developing a web service using a software stack and impleme