1 / 9

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. .

freeman
Download Presentation

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

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  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.

More Related