THE COVARIANCE STRUCTURE - ANALYSIS OF IPSATIVE DATA

Authors
Citation
W. Chan et Pm. Bentler, THE COVARIANCE STRUCTURE - ANALYSIS OF IPSATIVE DATA, Sociological methods & research, 22(2), 1993, pp. 214-247
Citations number
23
Categorie Soggetti
Social Sciences, Mathematical Methods",Sociology
ISSN journal
00491241
Volume
22
Issue
2
Year of publication
1993
Pages
214 - 247
Database
ISI
SICI code
0049-1241(1993)22:2<214:TCS-AO>2.0.ZU;2-1
Abstract
Data are called ipsative if they am subject to a constant-sum constrai nt for each observation. Usually, ipsative data are the consequence of transformation of their corresponding preipsative data. In this artic le, two kinds of ipsative data are defined. They are the additive ipsa tive data (AID) and the multiplicative ipsative data (MID). Jackson an d Alwin proposed a method to analyze AID in exploratory factor analysi s. However they failed to provide the estimates of the original factor loadings. In this study, first, their method is modified in the conte xt of covariance structure analysts. It is discovered that the origina l parameter estimates can usually be recovered provided the model of t he preipsative data is well defined. An artificial example is used to demonstrate the suggested method. Second, the method is extended to th e case of MID. A real example is considered also. Finally, some relate d issues, problems, and generalizations am addressed and discussed.