Multidimensional scaling: review and geographical applications:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Washington, DC
Assoc. of American Geographers
1972
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| Series: | Association of American Geographers / Commission on College Geography: Technical paper
10 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 77 S. |
Staff View
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| 490 | 1 | |a Association of American Geographers / Commission on College Geography: Technical paper |v 10 | |
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Record in the Search Index
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| adam_text | Titel: Multidimensional scaling: review and geographical applications
Autor: Golledge, Reginald G
Jahr: 1972
TABLE OF CONTENTS
Preface ..........................................vil
I. An Introduction to Scaling and Scaling Algorithms............... 1
A. Scaling...................................... 1
B. Data Requirements and Collection...................... 3
C. Approaches to Non-Metric Multidimensional Scaling (MDS) ....... 6
1. The Basic Elements of Non-Metric MDS Algorithms.......... 7
2. Monotonicity Requirements ....................... 8
3. Treatment of Ties .............................10
4. Goodness-of-Fit ..............................11
5. Initial Configurations ...........................12
6. Dimensionality...............................13
7. A Metric Example: Recovering Point Configurations from Interpoint
Distances..................................14
8. Joint-Space Scaling Solutions.......................18
D. Selected Approaches to Non-Metric MDS Analysis.............18
1. Coombs...................................18
2. Torgerson..................................20
3. Shepard...................................20
4. Kruskal ...................................21
5. Guttman-Lingoes..............................23
E. Selected Problems in Non-Metric Scaling ..................24
1. Local Minima and the Convergence Process...............24
a. Multiple solutions...........................24
b. Selection of initial configuration...................24
c. Backup procedures to confirm convergence ............24
d. Varying the target distances .....................25
2. Interpretations of Scale Dimensions...................25
II. The Non-Metric Algorithm: A Worked Example ................27
A. The First Example ...............................27
1. Overall Strategy ..............................28
2. The Four Stages ..............................28
3. Application of the Four Stages to the Sample Problem........32
4. The Problem of the Initial Configuration................40
B. The Second Example..............................42
III. Geographical Applications of MDS Analysis..................49
A. Simple Space Outputs .............................49
1. Map Transformations ...........................49
2. Preferences for Politicians.........................51
3. Perceptual Studies.............................52
4. Archaeological Reconstructions .....................59
B. Joint-Space Output...............................60
1. Inter-Urban Migration Choices......................60
2. Scaling Space Preference Structures...................61
a. Computing the input matrix.....................62
b. Computing the interpoint probabilities...............63
c. Computing the interpoint proximities................63
d. Scaling the locational types......................64
e. Significance of the recovered scale..................64
f. Inter-personal comparisons of scales.................64
g. Temporal comparisons of scales...................64
3. Preference and Choice in Different Environments...........65
a. Joint-space analysis of preference scales ..............65
b. Incorporation of preference scales in diffusion models......67
4. Incorporation of Preference Scales in Central-Place Theory......70
IV. Concluding Statements ..................................72
A. Some Problems of Using MDS.........................72
B. Potential Uses of MDS in Geography.....................72
References ........................................75
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:57:34Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-004609571 |
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| physical | 77 S. |
| publishDate | 1972 |
| publishDateSearch | 1972 |
| publishDateSort | 1972 |
| publisher | Assoc. of American Geographers |
| record_format | marc |
| series2 | Association of American Geographers / Commission on College Geography: Technical paper |
| spelling | Golledge, Reginald G. Verfasser aut Multidimensional scaling: review and geographical applications Reginald G. Golledge ; Gerard Rushton* Washington, DC Assoc. of American Geographers 1972 77 S. txt rdacontent n rdamedia nc rdacarrier Association of American Geographers / Commission on College Geography: Technical paper 10 Analyse multivariée Geografie gtt Géographie - Méthodes statistiques Multidimensionale schaalmethoden gtt Geografie Geography Statistical methods Multivariate analysis Multidimensionale Skalierung (DE-588)4075090-5 gnd rswk-swf Geografie (DE-588)4020216-1 gnd rswk-swf Multidimensionale Skalierung (DE-588)4075090-5 s Geografie (DE-588)4020216-1 s DE-604 Rushton, Gerard Verfasser aut Commission on College Geography: Technical paper Association of American Geographers 10 (DE-604)BV006653065 10 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004609571&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Golledge, Reginald G. Rushton, Gerard Multidimensional scaling: review and geographical applications Analyse multivariée Geografie gtt Géographie - Méthodes statistiques Multidimensionale schaalmethoden gtt Geografie Geography Statistical methods Multivariate analysis Multidimensionale Skalierung (DE-588)4075090-5 gnd Geografie (DE-588)4020216-1 gnd |
| subject_GND | (DE-588)4075090-5 (DE-588)4020216-1 |
| title | Multidimensional scaling: review and geographical applications |
| title_auth | Multidimensional scaling: review and geographical applications |
| title_exact_search | Multidimensional scaling: review and geographical applications |
| title_full | Multidimensional scaling: review and geographical applications Reginald G. Golledge ; Gerard Rushton* |
| title_fullStr | Multidimensional scaling: review and geographical applications Reginald G. Golledge ; Gerard Rushton* |
| title_full_unstemmed | Multidimensional scaling: review and geographical applications Reginald G. Golledge ; Gerard Rushton* |
| title_short | Multidimensional scaling: review and geographical applications |
| title_sort | multidimensional scaling review and geographical applications |
| topic | Analyse multivariée Geografie gtt Géographie - Méthodes statistiques Multidimensionale schaalmethoden gtt Geografie Geography Statistical methods Multivariate analysis Multidimensionale Skalierung (DE-588)4075090-5 gnd Geografie (DE-588)4020216-1 gnd |
| topic_facet | Analyse multivariée Geografie Géographie - Méthodes statistiques Multidimensionale schaalmethoden Geography Statistical methods Multivariate analysis Multidimensionale Skalierung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004609571&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV006653065 |
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