
Contents
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Introduction Introduction
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Historical Review Historical Review
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Four Stages of MDS Development Four Stages of MDS Development
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The First Stage: Metric MDS Model The First Stage: Metric MDS Model
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The Second Stage: Nonmetric MDS Model The Second Stage: Nonmetric MDS Model
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Kruskal’s contribution Kruskal’s contribution
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Coombs’ contribution Coombs’ contribution
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The Third Stage: Individual Differences Models. The Third Stage: Individual Differences Models.
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The Fourth Stage: Maximum Likelihood MDS. The Fourth Stage: Maximum Likelihood MDS.
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Differences and Similarities Between MDS, Factor Analysis, and Cluster Analysis Differences and Similarities Between MDS, Factor Analysis, and Cluster Analysis
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Multidimensional Scaling and Factor Analysis Multidimensional Scaling and Factor Analysis
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Multidimensional Scaling and Cluster Analysis Multidimensional Scaling and Cluster Analysis
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The MDS Models: Basics and Their Applications The MDS Models: Basics and Their Applications
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Data: More Than Just Numbers Data: More Than Just Numbers
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Metric Model Metric Model
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Nonmetric Model Nonmetric Model
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Individual Differences Models Individual Differences Models
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The MDS Model Using Maximum Likelihood Estimation The MDS Model Using Maximum Likelihood Estimation
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Computer Programs for MDS Analysis Computer Programs for MDS Analysis
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New Applications of the MDS Models New Applications of the MDS Models
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Conclusion Conclusion
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Future Directions Future Directions
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Author Note Author Note
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References References
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12 Multidimensional Scaling
Get accessCody S. Ding, College of Education, University of Missouri-Saint Louis, Saint Louis, MO
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Published:01 October 2013
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Abstract
This chapter introduces multidimensional scaling (MDS) as a psychological and educational research tool. Using examples that are more familiar to psychological and educational researchers, I describe the major types of MDS models and their applications. Because the focus of the chapter is applied orientation, the presentation of materials is less technical. The chapter covers four types of MDS models: metric, nonmetric, individual differences, and preference. For individual differences models and preference models, there are both metric and nonmetric models. An example for each type of model is presented so that the reader may get a flavor of what research questions can be addressed. In addition, some main differences between MDS analysis, factor analysis, and cluster analysis are discussed. The chapter ends with some issues that need to be addressed in the future.
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