Dimension in latent variable models

被引：4
|
作者：
Levine, MV [1 ]
机构：
[1] Univ Illinois, Model Based Measurement Lab, Champaign, IL 61820 USA
来源：
JOURNAL OF MATHEMATICAL PSYCHOLOGY | 2003年 / 47卷 / 04期
关键词：
D O I：
10.1016/S0022-2496(03)00032-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Psychologists would like to say that a probability distribution on {0,1}(n) is d-dimensional if (1) the distribution can be represented by some smooth d-dimensional latent variable model and (2) the distribution cannot be represented by any smooth d - I dimensional model. This does not work out because for d > 1, every distribution that can be represented by a smooth d-dimensional model can also be represented by a smooth one-dimensional model. A proof and discussion of some implications of this mathematical result follow. (C) 2003 Elsevier Inc. All rights reserved.
引用
收藏
页码：450 / 466
页数：17
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