2 options
Multidimensional scaling / Joseph B. Kruskal, Myron Wish.
- Format:
- Book
- Author/Creator:
- Kruskal, Joseph B., 1928-2010.
- Wish, Myron, author.
- Series:
- Sage university paper : Quantitative applications in the social sciences ; ser. no. 07-011.
- A Sage university paper : Quantitative applications in the social sciences ; ser. no. 07-011
- Language:
- English
- Subjects (All):
- Social sciences--Statistical methods.
- Social sciences.
- Scaling (Social sciences).
- Physical Description:
- 93 pages : illustrations ; 22 cm.
- Place of Publication:
- Beverly Hills, Calif. : Sage Publications, 1978.
- Summary:
- Outlines a set of techniques that enable a researcher to discuss the "hidden structure" of large data bases. These techniques use proximities, measures which indicate how similar or different objects are, to find a configuration of points which reflects the structure in the data.
- Contents:
- 1. Basic Concepts of Multidimensional Scaling 7
- Some Methods for Obtaining Proximities Data 9
- Relationship Between the Proximities and the Spatial Distances 14
- Different Types of MDS 19
- Defining an Objective Function 23
- Computational Procedure 27
- Looking at the Scatter Diagram 28
- 2. Interpretation of the Configuration 30
- Application to Perceptions of Nations 30
- Linear Regression for Dimensional Interpretation 35
- Neighborhood Interpretation of MDS Configurations 43
- Embedding Other Information in the MDS Configuration 45
- 3. Dimensionality 48
- Goodness-of-Fit 49
- Other Considerations Concerning Dimensionality 56
- 4. Three-Way Multidimensional Scaling 60
- The INDSCAL Model 61
- INDSCAL Analysis of the Nation Similarities Data 63
- Fitting the Friendship Ratings into the Similarities Space 69
- INDSCAL Analysis of Profile Proximities 70
- 5. Preparing the Input for Multidimensional Scaling 73
- Preprocessing of Data 73
- Metric Versus Nonmetric MDS, and Transformation of the Proximities 76
- Some Available Computer Programs for MDS 78
- Appendix A Some Comments on Multiple Linear Regression 87
- Appendix B Other Uses for Lines and the "Horseshoe" Phenomenon 88
- Appendix C Statistical Guide to Dimensionality 89
- Appendix D Relationship Between MDS Solutions in Different Dimensionalities 92
- Appendix E Determining Meaningful Directions by INDSCAL and by Other Methods 92.
- Notes:
- Bibliography: pages 83-87.
- ISBN:
- 0803909403
- OCLC:
- 3803952
The Penn Libraries is committed to describing library materials using current, accurate, and responsible language. If you discover outdated or inaccurate language, please fill out this feedback form to report it and suggest alternative language.