Structural equation models of latent interactions: evaluation of alternative estimation strategies and indicator construction.
Interactions between (multiple indicator) latent variables are rarely used because of implementation complexity and competing strategies. Based on 4 simulation studies, the traditional constrained approach performed more poorly than did 3 new approaches--unconstrained, generalized appended product i...
| Main Authors: | , , |
|---|---|
| Format: | Journal article |
| Language: | English |
| Published: |
2004
|
| _version_ | 1797079706725515264 |
|---|---|
| author | Marsh, H Wen, Z Hau, K |
| author_facet | Marsh, H Wen, Z Hau, K |
| author_sort | Marsh, H |
| collection | OXFORD |
| description | Interactions between (multiple indicator) latent variables are rarely used because of implementation complexity and competing strategies. Based on 4 simulation studies, the traditional constrained approach performed more poorly than did 3 new approaches--unconstrained, generalized appended product indicator, and quasi-maximum-likelihood (QML). The authors' new unconstrained approach was easiest to apply. All 4 approaches were relatively unbiased for normally distributed indicators, but the constrained and QML approaches were more biased for nonnormal data; the size and direction of the bias varied with the distribution but not with the sample size. QML had more power, but this advantage was qualified by consistently higher Type I error rates. The authors also compared general strategies for defining product indicators to represent the latent interaction factor. |
| first_indexed | 2024-03-07T00:49:36Z |
| format | Journal article |
| id | oxford-uuid:85ec71be-8f6a-473c-a17e-d9df4a1780c5 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T00:49:36Z |
| publishDate | 2004 |
| record_format | dspace |
| spelling | oxford-uuid:85ec71be-8f6a-473c-a17e-d9df4a1780c52022-03-26T22:00:43ZStructural equation models of latent interactions: evaluation of alternative estimation strategies and indicator construction.Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:85ec71be-8f6a-473c-a17e-d9df4a1780c5EnglishSymplectic Elements at Oxford2004Marsh, HWen, ZHau, KInteractions between (multiple indicator) latent variables are rarely used because of implementation complexity and competing strategies. Based on 4 simulation studies, the traditional constrained approach performed more poorly than did 3 new approaches--unconstrained, generalized appended product indicator, and quasi-maximum-likelihood (QML). The authors' new unconstrained approach was easiest to apply. All 4 approaches were relatively unbiased for normally distributed indicators, but the constrained and QML approaches were more biased for nonnormal data; the size and direction of the bias varied with the distribution but not with the sample size. QML had more power, but this advantage was qualified by consistently higher Type I error rates. The authors also compared general strategies for defining product indicators to represent the latent interaction factor. |
| spellingShingle | Marsh, H Wen, Z Hau, K Structural equation models of latent interactions: evaluation of alternative estimation strategies and indicator construction. |
| title | Structural equation models of latent interactions: evaluation of alternative estimation strategies and indicator construction. |
| title_full | Structural equation models of latent interactions: evaluation of alternative estimation strategies and indicator construction. |
| title_fullStr | Structural equation models of latent interactions: evaluation of alternative estimation strategies and indicator construction. |
| title_full_unstemmed | Structural equation models of latent interactions: evaluation of alternative estimation strategies and indicator construction. |
| title_short | Structural equation models of latent interactions: evaluation of alternative estimation strategies and indicator construction. |
| title_sort | structural equation models of latent interactions evaluation of alternative estimation strategies and indicator construction |
| work_keys_str_mv | AT marshh structuralequationmodelsoflatentinteractionsevaluationofalternativeestimationstrategiesandindicatorconstruction AT wenz structuralequationmodelsoflatentinteractionsevaluationofalternativeestimationstrategiesandindicatorconstruction AT hauk structuralequationmodelsoflatentinteractionsevaluationofalternativeestimationstrategiesandindicatorconstruction |