Between-Group Metrics

被引:1
|
作者
Gower, John C. [1 ]
Albers, Casper J. [2 ]
机构
[1] Open Univ, Dept Math & Stat, Milton Keynes MK7 6AA, Bucks, England
[2] Univ Groningen, Dept Psychometr & Stat, NL-9712 TS Groningen, Netherlands
关键词
Between-group distances; Canonical analysis; Mahalanobis distance;
D O I
10.1007/s00357-011-9090-z
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In canonical analysis with more variables than samples, it is shown that, as well as the usual canonical means in the range-space of the within-groups dispersion matrix, canonical means may be defined in its null space. In the range space we have the usual Mahalanobis metric; in the null space explicit expressions are given and interpreted for a new metric.
引用
收藏
页码:315 / 326
页数:12
相关论文
共 50 条
  • [31] STATISTICAL PROPERTIES OF MEASURES OF BETWEEN-GROUP INCOME DIFFERENTIALS
    GASTWIRTH, JL
    NAYAK, TK
    WANG, JL
    [J]. JOURNAL OF ECONOMETRICS, 1989, 42 (01) : 5 - 19
  • [32] Understanding the role of subpopulations and reliability in between-group studies
    Selena Wang
    Paul De Boeck
    [J]. Behavior Research Methods, 2022, 54 : 2162 - 2177
  • [33] When Common Identities Reduce Between-Group Helping
    van Leeuwen, Esther
    Mashuri, Ali
    [J]. SOCIAL PSYCHOLOGICAL AND PERSONALITY SCIENCE, 2012, 3 (03) : 259 - 265
  • [34] Between-group psychotherapy outcome research and basic science
    Borkovec, TD
    Miranda, J
    [J]. JOURNAL OF CLINICAL PSYCHOLOGY, 1999, 55 (02) : 147 - 158
  • [35] Explaining between-group differences in performance on timing tasks
    Wearden, John H.
    Jones, Luke A.
    [J]. QUARTERLY JOURNAL OF EXPERIMENTAL PSYCHOLOGY, 2013, 66 (01): : 179 - 199
  • [36] The role of between-group signaling in the evolution of primate ornamentation
    Grueter, Cyril C.
    Lupold, Stefan
    [J]. EVOLUTION LETTERS, 2024,
  • [37] The evolution of group-beneficial traits in the absence of between-group selection
    Dugatkin, LA
    Perlin, M
    Atlas, R
    [J]. JOURNAL OF THEORETICAL BIOLOGY, 2003, 220 (01) : 67 - 74
  • [38] Migration, acculturation, and the maintenance of between-group cultural variation
    Mesoudi, Alex
    [J]. PLOS ONE, 2018, 13 (10):
  • [39] Between-group pathogen transmission: From processes to modeling
    Hoch, Thierry
    Touzeau, Suzanne
    Viet, Anne-France
    Ezanno, Pauline
    [J]. ECOLOGICAL MODELLING, 2018, 383 : 138 - 149
  • [40] Overcoming the Spurious Groups Problem in Between-Group PCA
    Thioulouse, Jean
    Renaud, Sabrina
    Dufour, Anne-Beatrice
    Dray, Stephane
    [J]. EVOLUTIONARY BIOLOGY, 2021, 48 (04) : 458 - 471