Ensuring positiveness of the scaled difference chi-square test statistic
A scaled difference test statistic T~d that can be computed from standard software of structural equation models (SEM) by hand calculations was proposed in Satorra and Bentler (Psychometrika 66:507–514, 2001). The statistic T~d is asymptotically equivalent to the scaled difference test statistic T¯d...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2010 |
| País: | España |
| Institución: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repositorio: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:10230/46120 |
| Acceso en línea: | http://hdl.handle.net/10230/46120 http://dx.doi.org/10.1007/s11336-009-9135-y |
| Access Level: | acceso abierto |
| Palabra clave: | Moment-structures Goodness-of-fit test Chi-square difference test statistic Chi-square distribution Nonnormality |
| Sumario: | A scaled difference test statistic T~d that can be computed from standard software of structural equation models (SEM) by hand calculations was proposed in Satorra and Bentler (Psychometrika 66:507–514, 2001). The statistic T~d is asymptotically equivalent to the scaled difference test statistic T¯d introduced in Satorra (Innovations in Multivariate Statistical Analysis: A Festschrift for Heinz Neudecker, pp. 233–247, 2000), which requires more involved computations beyond standard output of SEM software. The test statistic T~d has been widely used in practice, but in some applications it is negative due to negativity of its associated scaling correction. Using the implicit function theorem, this note develops an improved scaling correction leading to a new scaled difference statistic T¯d that avoids negative chi-square values. |
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