Package com.imsl.test.example.stat

Class MultidimensionalScalingEx2

java.lang.Object

com.imsl.test.example.stat.MultidimensionalScalingEx2

public class MultidimensionalScalingEx2
extends Object

Applies multidimensional scaling to rectangles of different size.

The following example involves three subjects' assessment of the dissimilarity between rectangles that vary in height and width. An analysis is performed in 2 dimensions using the individual-differences scaling model. The estimated subject weights, \(w_{mk}, \, m=1,2,3,\, k=1,2\) , indicate how each subject weights the dimensions.

The raw data are given as follows: $$ \begin{pmatrix} - & 1.00 & 1.41 & 2.24 & 2.00 & 2.24 & 1.41 & 1.00 & 1.00\\ & - & 1.00 & 2.00 & 2.24 & 2.83 & 2.24 & 2.00 & 1.41\\ & & - & 1.00 & 1.41 & 2.24 & 2.00 & 2.24 & 1.00\\ & & & - & 1.00 & 2.00 & 2.24 & 2.83 & 1.41\\ & & & & - & 1.00 & 1.41 & 2.24 & 1.00\\ & & & & & - & 1.00 & 2.00 & 1.41\\ & & & & & & - & 1.00 & 1.00\\ & & & & & & & - & 1.41\\ & & & & & & & & - \\ \end{pmatrix} \\[2cm] \begin{pmatrix} - & 1.50 & 1.68 & 2.12 & 1.50 & 2.12 & 1.68 & 1.50 & 0.75\\ & - & 0.75 & 1.50 & 2.12 & 3.35 & 3.09 & 3.00 & 1.68\\ & & - & 0.75 & 1.68 & 3.09 & 3.00 & 3.09 & 1.50\\ & & & - & 1.50 & 3.00 & 3.09 & 3.35 & 1.68\\ & & & & - & 1.50 & 1.68 & 2.12 & 0.75\\ & & & & & - & 0.75 & 1.50 & 1.68\\ & & & & & & - & 0.75 & 1.50\\ & & & & & & & - & 1.68\\ & & & & & & & & - \\ \end{pmatrix} \\[2cm] \begin{pmatrix} - & 0.50 & 2.06 & 4.03 & 4.00 & 4.03 & 2.06 & 0.50 & 2.00\\ & - & 2.00 & 4.00 & 4.03 & 4.12 & 2.24 & 1.00 & 2.06\\ & & - & 2.00 & 2.06 & 2.24 & 1.00 & 2.24 & 0.50\\ & & & - & 0.50 & 1.00 & 2.24 & 4.12 & 2.06\\ & & & & - & 0.50 & 2.06 & 4.03 & 2.00\\ & & & & & - & 2.00 & 4.00 & 2.06\\ & & & & & & - & 2.00 & 0.50\\ & & & & & & & - & 2.06\\ & & & & & & & & - \\ \end{pmatrix} $$

See Also:

• Code
• Output

Constructor Summary

Constructors

Constructor	Description
MultidimensionalScalingEx2()

Method Summary

Modifier and Type	Method	Description
static void	main(String[] args)

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Details

MultidimensionalScalingEx2

public MultidimensionalScalingEx2()

Method Details

main

public static void main(String[] args)
                 throws Exception

Throws:

Exception