Comparing Coefficients of Nonlinear Multivariate Regression Models Between Equations
The present study discusses the usage of non-linear constraints in regression models with multiple categorical outcomes. With this approach, effect differences between equations are made accessible to statistical tests while potential differences in residual variation are explicitly taken into accou...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
European Survey Research Association
2015-12-01
|
| Series: | Survey Research Methods |
| Subjects: | |
| Online Access: | https://ojs.ub.uni-konstanz.de/srm/article/view/6211 |
| _version_ | 1811320006850379776 |
|---|---|
| author | Christoph Kern Petra Stein |
| author_facet | Christoph Kern Petra Stein |
| author_sort | Christoph Kern |
| collection | DOAJ |
| description | The present study discusses the usage of non-linear constraints in regression models with multiple categorical outcomes. With this approach, effect differences between equations are made accessible to statistical tests while potential differences in residual variation are explicitly taken into account. In this context, it can be shown that the techniques reviewed by Williams (2010) are conjointly equivalent to the specification of non-linear constraints in multivariate regression models. However, the application of non-linear constraints extends these approaches into a structural equation modeling framework, which allows the researcher to address a broader range of research questions. |
| first_indexed | 2024-04-13T12:51:59Z |
| format | Article |
| id | doaj.art-4d1494cc189b4e4bb5d4d8798adef041 |
| institution | Directory Open Access Journal |
| issn | 1864-3361 |
| language | English |
| last_indexed | 2024-04-13T12:51:59Z |
| publishDate | 2015-12-01 |
| publisher | European Survey Research Association |
| record_format | Article |
| series | Survey Research Methods |
| spelling | doaj.art-4d1494cc189b4e4bb5d4d8798adef0412022-12-22T02:46:11ZengEuropean Survey Research AssociationSurvey Research Methods1864-33612015-12-019310.18148/srm/2015.v9i3.62115735Comparing Coefficients of Nonlinear Multivariate Regression Models Between EquationsChristoph Kern0Petra Stein1University of Duisburg-EssenUniversity of Duisburg-EssenThe present study discusses the usage of non-linear constraints in regression models with multiple categorical outcomes. With this approach, effect differences between equations are made accessible to statistical tests while potential differences in residual variation are explicitly taken into account. In this context, it can be shown that the techniques reviewed by Williams (2010) are conjointly equivalent to the specification of non-linear constraints in multivariate regression models. However, the application of non-linear constraints extends these approaches into a structural equation modeling framework, which allows the researcher to address a broader range of research questions.https://ojs.ub.uni-konstanz.de/srm/article/view/6211non-linear constraintsstructural equation modelingeffect comparison |
| spellingShingle | Christoph Kern Petra Stein Comparing Coefficients of Nonlinear Multivariate Regression Models Between Equations Survey Research Methods non-linear constraints structural equation modeling effect comparison |
| title | Comparing Coefficients of Nonlinear Multivariate Regression Models Between Equations |
| title_full | Comparing Coefficients of Nonlinear Multivariate Regression Models Between Equations |
| title_fullStr | Comparing Coefficients of Nonlinear Multivariate Regression Models Between Equations |
| title_full_unstemmed | Comparing Coefficients of Nonlinear Multivariate Regression Models Between Equations |
| title_short | Comparing Coefficients of Nonlinear Multivariate Regression Models Between Equations |
| title_sort | comparing coefficients of nonlinear multivariate regression models between equations |
| topic | non-linear constraints structural equation modeling effect comparison |
| url | https://ojs.ub.uni-konstanz.de/srm/article/view/6211 |
| work_keys_str_mv | AT christophkern comparingcoefficientsofnonlinearmultivariateregressionmodelsbetweenequations AT petrastein comparingcoefficientsofnonlinearmultivariateregressionmodelsbetweenequations |