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Chapter 14: Multidimensional Scaling: British Water Voles and Voting in US Congress

Chapter 14: Multidimensional Scaling: British Water Voles and Voting in US Congress. By: Laila, Rozie, Vimal . Introduction. The aim of the study was to compare British populations of water voles with those in Europe. To investigate whether more than one species might be present in Britain. .

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Chapter 14: Multidimensional Scaling: British Water Voles and Voting in US Congress

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  1. Chapter 14: Multidimensional Scaling: British Water Voles and Voting in US Congress By: Laila, Rozie, Vimal

  2. Introduction • The aim of the study was to compare British populations of water voles with those in Europe. • To investigate whether more than one species might be present in Britain.

  3. Introduction • Table 14.1 • Gives a distance matrix derived from their voles data. Measures distance between populations of water voles. • Table 14.2 • Shows number of times 15 congressmen voted differently in the house of representatives on 19 bills. So similarity of voting behavior of congressmen is measured.

  4. Multidimensional Scaling • What is it? • How it does it?

  5. Example

  6. Example-Map produced by MDS

  7. Multidimensional Scaling • So both 14.1 and 14.2 are examples of proximity matrices. • Which attempt to quantify how similar are stimuli, objects, or individuals. • How proximity data can be best displayed to aid in uncovering of an interesting structure.

  8. Multidimensional Scaling • The model consist of q dimensional coordinate values, with n=number of rows and columns of proximity matrix, and measure of distance between pairs of points. • Q provides information about the adequate fit.

  9. Euclidean distance • One of the inter-point distance measures used in MDS.

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