Constrained Homogeneity Analysis With Applications To Hierarchical Data (1996)
| Venue: | Hierarchical Data,” UCLA Statistical Series, #207 |
| Citations: | 3 - 3 self |
BibTeX
@INPROCEEDINGS{Michailidis96constrainedhomogeneity,
author = {George Michailidis and Jan and JAN DE LEEUW},
title = {Constrained Homogeneity Analysis With Applications To Hierarchical Data},
booktitle = {Hierarchical Data,” UCLA Statistical Series, #207},
year = {1996},
pages = {207}
}
Bookmark
 |
 |
 |
 |
 |
 |
OpenURL
Abstract
. In this paper we extend the techniques of homogeneity analysis and nonlinear principal components analysis to a multilevel sampling design framework. We also propose some models that take advantage of the multilevel nature of the sampling design, and allow us to make within-groups and between-groups comparisons. Furthermore, it is shown that several models proposed in the literature for panel and event history data, can be casted naturally into our framework. A data set from the National Educational Longitudinal Study (NELS:88) is used to illustrate the techniques introduced in the paper. 1 2 GEORGE MICHAILIDIS AND JAN DE LEEUW 1. Introduction to Homogeneity Analysis The basic technique studied in this paper is known under many different names. For example, we have principal components of scale analysis [19, 20], factorial analysis of qualitative data [7], second method of quantification [21], multiple correspondence analysis [2, 17, 27] and homogeneity analysis [10, 15]. The tec...
