Multidimensional scaling methods for many-object sets: A review

被引:30
作者
Tsogo, L [1 ]
Masson, MH [1 ]
Bardot, A [1 ]
机构
[1] Univ Technol Compiegne, F-60206 Compiegne, France
关键词
D O I
10.1207/S15327906MBR3503_02
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Given a set of dissimilarities data between 11 objects, multidimensional scaling is the problem of reconstructing a geometrical pattern of these objects, using n points, so that between-points distance corresponds to between-objects dissimilarity. Often, the collection of input data requires rating the dissimilarities between all 11(n - 1)/2 possible pairs of stimuli. When the number of stimuli is large, say n greater than or equal to 30, the number of pairs to be compared becomes very large and the similarity task inefficient. Hence a question of major importance is how to increase the efficiency of the similarity task while maintaining satisfactory scaling solutions. This article reviews the main similarity task methods suitable for a large objects set.
引用
收藏
页码:307 / 319
页数:13
相关论文
共 22 条
[1]   SPATIAL AND CONJOINT MODELS BASED ON PAIRWISE COMPARISONS OF DISSIMILARITIES AND COMBINED EFFECTS - COMPLETE AND INCOMPLETE DESIGNS [J].
BISSETT, R ;
SCHNEIDER, B .
PSYCHOMETRIKA, 1991, 56 (04) :685-698
[2]  
Borg I., 1997, MODERN MULTIDIMENSIO
[3]  
Clatworthy W. H, 1973, NATL BUREAU STANDARD, V63
[4]  
COX TF, 1994, MULTIDEMSIONAL SCALI
[5]   AN EVALUATION OF THE USE OF MULTIDIMENSIONAL-SCALING FOR UNDERSTANDING BRAIN CONNECTIVITY [J].
GOODHILL, GJ ;
SIMMEN, MW ;
WILLSHAW, DJ .
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON SERIES B-BIOLOGICAL SCIENCES, 1995, 348 (1325) :265-280
[6]  
GRAEF J, 1979, PSYCHOL BULL, V80, P60
[7]   PAIRWISE NONMETRIC MULTIDIMENSIONAL SCALING [J].
JOHNSON, RM .
PSYCHOMETRIKA, 1973, 38 (01) :11-18
[8]   MULTIDIMENSIONAL-SCALING BY OPTIMIZING GOODNESS OF FIT TO A NONMETRIC HYPOTHESIS [J].
KRUSKAL, JB .
PSYCHOMETRIKA, 1964, 29 (01) :1-27
[9]   NONMETRIC MULTIDIMENSIONAL-SCALING - A NUMERICAL-METHOD [J].
KRUSKAL, JB .
PSYCHOMETRIKA, 1964, 29 (02) :115-129
[10]   UNIQUELY REPRESENTING POINT PATTERNS WITH MINIMAL INFORMATION [J].
LEVINE, SH ;
KREIFELDT, JG .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS, 1994, 24 (06) :895-900