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Homework 2

IE 7275 Data Mining in Engineering

Task 1: Tutorial 

^• Reading chapter “Principal components and factor analysis.” 

Task 2: Perform principal component analysis

•      Input the raw data matrix to fa.parallel() function to determine the number of components to extract

•      Input the raw data matrix to principal() function to extract the components. If raw data is input, the correlation matrix is automatically calculated by principal() function.

•      Rotate the components

•      Compute component scores

•      Graph an orthogonal solution using factor.plot()

•      Interpret the results

Task 3: Perform factor analysis

•      Input the raw data matrix to fa.parallel() function to determine the number of components to extract

•      Input the raw data matrix to fa() function to extract the components. If raw data is input, the correlation matrix is automatically calculated by fa() function.

•      Rotate the factors

•      Compute factor scores

•      Graph an orthogonal solution using factor.plot()

•      Graph an oblique solutions using fa.diagram()

•      Interpret the results

Task 4: Perform multidimensional scaling

•      Input the raw data matrix to fa.parallel() function to determine the number of components to extract

•      Input the raw data matrix to cmdscale() function to perform multidimensional scaling. cmdscale() function which is available in the base installation performs a classical multidimensional scaling.

•      Graph an orthogonal solution using factor.plot()

•      Interpret the results

Problem 1

Perform Task 2 on US Judge Ratings.dat

Problem 2

Perform Task 2 on Glass Identification Data.xlsx

Problem 3

Perform Task 3 on Harman23.cor

Problem 4

Perform Task 3 on Herman74.cor

Problem 5

Perform Task 4 on Vertebral Column Data.xlsx

 Files Included in the Folder:

Homework 1.pdf

PCA and FA Tutorial.pdf

US Judge Rating.dat

Glass Identification Data.xlsx

Glass Identification Data Description.pdf

Herman23.cor

Herman74.cor

Vertebral Column Data.xlsx

Vertebral Column Description.pdf