Perceptual maps and multidimensional scaling - Multidimensional scaling models - Nonmetric MDS
3 important questions on Perceptual maps and multidimensional scaling - Multidimensional scaling models - Nonmetric MDS
What is the essence of the difference between metric and non-metric MDS?
What are the steps of non-metric MDS?
- Make a table with the data deltaij
- Assign ranks to the data and order the deltaij in a new table according to ranks.
- Have the model predict the distances and put them in column dij.
- If the distances are not monotonically increasing, then average the two values where it is decreasing (the decreased and the one before).
- These adjusted distances are called disparities and are written in the final column d^ij.
- Badness of fit is tested with Stress using the formula on the picture with the summation of i<j meaning to sum over all pairs. Larger numbers are worse.
What is a monotonic function?
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