dc.contributor.author | Foldnes, Njål | |
dc.contributor.author | Foss, Tron | |
dc.contributor.author | Olsson, Ulf Henning | |
dc.date.accessioned | 2012-05-22T11:21:02Z | |
dc.date.available | 2012-10-31T00:00:17Z | |
dc.date.issued | 2012 | |
dc.identifier.issn | 1935-1054 | |
dc.identifier.uri | http://hdl.handle.net/11250/93488 | |
dc.description | This is the authors’ final, accepted and refereed manuscript to the article | no_NO |
dc.description.abstract | The residuals obtained from tting a structural equation model are
crucial ingredients in obtaining chi-square goodness-of- t statistics for the
model. We present a didactic discussion of the residuals, obtaining a
geometrical interpretation by recognizing the residuals as the result of
oblique projections. This sheds light on the concept of degrees of freedom
of the model. We use a simple example to illustrate the theory and also
to provide simulations of residuals in three dimensions. We then explain
the rationale behind the formula for the residual-based test statistic. The
formula for the statistic is deduced using linear algebra and large-sample
theory. Details are provided so that this material can be used in graduate
instruction. | no_NO |
dc.language.iso | eng | no_NO |
dc.publisher | Sage Publications | no_NO |
dc.subject | goodness-of-fit | no_NO |
dc.subject | residuals | no_NO |
dc.subject | degrees of freedom | no_NO |
dc.subject | residual-based statistic | no_NO |
dc.title | Residuals and the residual-based statistic for testing goodness of fit of structural equation models | no_NO |
dc.type | Journal article | no_NO |
dc.type | Peer reviewed | no_NO |
dc.source.pagenumber | 367-386 | no_NO |
dc.source.volume | 37 | no_NO |
dc.source.journal | Journal of Educational and Behavioral Statistics | no_NO |
dc.source.issue | 3 | no_NO |