Applied multidimensional scaling:
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Heidelberg [u.a.]
Springer
2013
|
| Series: | Springer briefs in statistics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | "The book is related to the much more comprehensive book 'Modern Multidimensional Scaling' by Borg and Groenen [...]." |
| Physical Description: | IX, 113 S. graph. Darst. |
| ISBN: | 9783642318474 |
Staff View
MARC
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| 100 | 1 | |a Borg, Ingwer |d 1945- |e Verfasser |0 (DE-588)121327191 |4 aut | |
| 245 | 1 | 0 | |a Applied multidimensional scaling |c Ingwer Borg ; Patrick J. F. Groene ; Patrick Mair |
| 264 | 1 | |a Heidelberg [u.a.] |b Springer |c 2013 | |
| 300 | |a IX, 113 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
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| 490 | 0 | |a Springer briefs in statistics | |
| 500 | |a "The book is related to the much more comprehensive book 'Modern Multidimensional Scaling' by Borg and Groenen [...]." | ||
| 650 | 0 | 7 | |a Multidimensionale Skalierung |0 (DE-588)4075090-5 |2 gnd |9 rswk-swf |
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| 700 | 1 | |a Mair, Patrick |e Verfasser |0 (DE-588)131503707 |4 aut | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-025887080 | ||
Record in the Search Index
| _version_ | 1804150192473112576 |
|---|---|
| adam_text | Contents
1 First Steps ......................................... ]
Summary
........................................... 6
2
The Purpose of MDS
....................... 7
2.1
MDS for Visualizing Proximity Data
.................. 7
2.2
MDS lor Uncovering Latent Dimensions of Judgment
....... 10
2.3
Distance Formulas as Models of Judgment
............... 12
2.4
MDS for Testing Structural Hypotheses
............... 16
2.5
Summary
...................................... 18
References
..................................... 19
3
The Goodness of an MDS Solution
........................ 21
3.1
Fit Indices and Loss Functions
.................... 21
3.2
Evaluating Stress
................................. 23
3.3
Variants of the Stress Measure
...................... 25
3.4
Summary
..................................... 26
References
.......................................... 26
4
Proximities
......................................... 27
4.1
Direct Proximities
................................ 27
4.2
Derived Proximities
............................... 29
4.3
Proximities from Index Conversions
.................... 30
4.4
Co-Occurrence Data
............................... 31
4.5
The Gravity Model for Co-Occurrences
................. 32
4.6
Summary
...................................... 34
References
.......................................... 34
5
Variants of Different MDS Models
37
5.!
Ordinal and Metric MDS
........................ 37
5.2
Euclidean and Other Distances
............. 39
її
Contents
5.3
Scaling Replicated Proximities
....................... 39
5.4
MDS
ol
Asymmetric Proximities
...................... 40
5.5
Modeling Individual Differences in MDS
................ 42
5.6
Unfolding
...................................... 45
5.7
Summary
...................................... 47
References
.......................................... 47
Confirmatory MDS
................................... 49
6.
1 Weak Confirmatory MDS
........................... 50
6.2
External Side Constraints on the Point Coordinates
......... 51
6.3
Regional Axial Restrictions
.......................... 54
6.4
Challenges of Confirmatory MDS
..................... 56
6.5
Summary
...................................... 57
References
.......................................... 58
Typical Mistakes in MDS
............................... 59
7.1
Using the Term MDS Too Generally
................... 59
7.2
Using the Distance Notion Too Loosely
................. 60
7.3
Assigning the Wrong Polarity to Proximities
.............. 60
7.4
Using Too Few Iterations
........................... 61
7.5
Using the Wrong Starting Configuration
................. 61
7.6
Doing Nothing to Avoid
Suboptimal
Local Minima
......... 61
7.7
Not Recognizing Degeneracy in Ordinal MDS
............ 63
7.8
Meaningless Comparisons of Different MDS Solutions
....... 65
7.9
Evaluating Stress Mechanically
....................... 68
7.10
Always Interpreting the Dimensions
.................. 70
7.11
Poorly Dealing with Disturbing Points
.................. 74
7.12
Scaling Almost Equal Proximities
..................... 75
7.13
Over-Interpreting Dimension Weights
................... 78
7.14
Unevenly Stretching MDS Plots
...................... 79
7.15
Summary
...................................... 79
References
.......................................... 80
MDS Algorithms
..................................... 81
8.1
Classical MDS
................................... 81
8.2
Iterative MDS Algorithms
........................... 84
8.3
Summary
...................................... 86
References
.......................................... 86
Computer Programs for MDS
........................... 87
9.1
Proxscal
....................................... 87
9.1.1
Proxscal by Menus
.......................... 88
9.1.2
Proxscal by Commands
....................... 91
Contents ix
9.2
The R Package
Ѕмлсчи·
............................. 96
9.2.1
General Remarks on Smacoi-
.................... 97
9.2.2
Smacol Sym
................................ 98
9.2.3
SmacoľlndDiľľ..............................
101
9.2.4
SmacoľRect
................................ 103
9.2.5
SmacofConslraint
............................ 104
9.2.6
Final Remarks
.............................. 105
9.3
Other Programs for MDS
........................... 105
References
.......................................... 106
Author Index
.......................................... 109
Subject Index
..........................................
Ill
|
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| discipline | Soziologie Psychologie Wirtschaftswissenschaften |
| format | Book |
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| id | DE-604.BV040907690 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T00:35:01Z |
| institution | BVB |
| isbn | 9783642318474 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-025887080 |
| oclc_num | 844040197 |
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| owner | DE-11 DE-473 DE-BY-UBG DE-19 DE-BY-UBM |
| owner_facet | DE-11 DE-473 DE-BY-UBG DE-19 DE-BY-UBM |
| physical | IX, 113 S. graph. Darst. |
| publishDate | 2013 |
| publishDateSearch | 2013 |
| publishDateSort | 2013 |
| publisher | Springer |
| record_format | marc |
| series2 | Springer briefs in statistics |
| spelling | Borg, Ingwer 1945- Verfasser (DE-588)121327191 aut Applied multidimensional scaling Ingwer Borg ; Patrick J. F. Groene ; Patrick Mair Heidelberg [u.a.] Springer 2013 IX, 113 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Springer briefs in statistics "The book is related to the much more comprehensive book 'Modern Multidimensional Scaling' by Borg and Groenen [...]." Multidimensionale Skalierung (DE-588)4075090-5 gnd rswk-swf Multidimensionale Skalierung (DE-588)4075090-5 s DE-604 Groenen, Patrick J. F. 1964- Verfasser (DE-588)140945199 aut Mair, Patrick Verfasser (DE-588)131503707 aut Erscheint auch als Online-Ausgabe 978-3-642-31848-1 Digitalisierung UB Bamberg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025887080&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Borg, Ingwer 1945- Groenen, Patrick J. F. 1964- Mair, Patrick Applied multidimensional scaling Multidimensionale Skalierung (DE-588)4075090-5 gnd |
| subject_GND | (DE-588)4075090-5 |
| title | Applied multidimensional scaling |
| title_auth | Applied multidimensional scaling |
| title_exact_search | Applied multidimensional scaling |
| title_full | Applied multidimensional scaling Ingwer Borg ; Patrick J. F. Groene ; Patrick Mair |
| title_fullStr | Applied multidimensional scaling Ingwer Borg ; Patrick J. F. Groene ; Patrick Mair |
| title_full_unstemmed | Applied multidimensional scaling Ingwer Borg ; Patrick J. F. Groene ; Patrick Mair |
| title_short | Applied multidimensional scaling |
| title_sort | applied multidimensional scaling |
| topic | Multidimensionale Skalierung (DE-588)4075090-5 gnd |
| topic_facet | Multidimensionale Skalierung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025887080&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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