Interaction effects in growth modeling: A full model
In substantively important research, Li, Duncan, and Acock (2000) and Duncan, Duncan, Strycker, Li, and Alpert (1999) extended Jöreskog and Yang's (1996) structural equation model of latent interactions to latent growth modeling. We address 2 concerns with their approach: (a) Parameter constrai...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
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2002
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| _version_ | 1797072479991103488 |
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| author | Wen, Z Marsh, H Hau, K |
| author_facet | Wen, Z Marsh, H Hau, K |
| author_sort | Wen, Z |
| collection | OXFORD |
| description | In substantively important research, Li, Duncan, and Acock (2000) and Duncan, Duncan, Strycker, Li, and Alpert (1999) extended Jöreskog and Yang's (1996) structural equation model of latent interactions to latent growth modeling. We address 2 concerns with their approach: (a) Parameter constraints specified in their models were apparently inappropriate, and (b) they did not specify a full interaction model. Here we present more appropriate constraints and demonstrate a full interaction model for latent growth modeling that simultaneously estimates (a) the interaction between rates of change (slopes) of 2 predictors on the rate of change (slope) of the outcome and (b) the interaction between initial levels of growth (intercepts) of 2 predictors on the initial level (intercept) of outcome. Based on mathematical derivation and a comparison of alternative models fitted to simulated data, we show that our model is more appropriate and that their models can result in seriously biased parameter estimates. © 2002, Lawrence Erlbaum Associates, Inc. |
| first_indexed | 2024-03-06T23:08:17Z |
| format | Journal article |
| id | oxford-uuid:649adce3-dc0a-4969-a8ca-d7ba775080d3 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T23:08:17Z |
| publishDate | 2002 |
| record_format | dspace |
| spelling | oxford-uuid:649adce3-dc0a-4969-a8ca-d7ba775080d32022-03-26T18:19:56ZInteraction effects in growth modeling: A full modelJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:649adce3-dc0a-4969-a8ca-d7ba775080d3EnglishSymplectic Elements at Oxford2002Wen, ZMarsh, HHau, KIn substantively important research, Li, Duncan, and Acock (2000) and Duncan, Duncan, Strycker, Li, and Alpert (1999) extended Jöreskog and Yang's (1996) structural equation model of latent interactions to latent growth modeling. We address 2 concerns with their approach: (a) Parameter constraints specified in their models were apparently inappropriate, and (b) they did not specify a full interaction model. Here we present more appropriate constraints and demonstrate a full interaction model for latent growth modeling that simultaneously estimates (a) the interaction between rates of change (slopes) of 2 predictors on the rate of change (slope) of the outcome and (b) the interaction between initial levels of growth (intercepts) of 2 predictors on the initial level (intercept) of outcome. Based on mathematical derivation and a comparison of alternative models fitted to simulated data, we show that our model is more appropriate and that their models can result in seriously biased parameter estimates. © 2002, Lawrence Erlbaum Associates, Inc. |
| spellingShingle | Wen, Z Marsh, H Hau, K Interaction effects in growth modeling: A full model |
| title | Interaction effects in growth modeling: A full model |
| title_full | Interaction effects in growth modeling: A full model |
| title_fullStr | Interaction effects in growth modeling: A full model |
| title_full_unstemmed | Interaction effects in growth modeling: A full model |
| title_short | Interaction effects in growth modeling: A full model |
| title_sort | interaction effects in growth modeling a full model |
| work_keys_str_mv | AT wenz interactioneffectsingrowthmodelingafullmodel AT marshh interactioneffectsingrowthmodelingafullmodel AT hauk interactioneffectsingrowthmodelingafullmodel |