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New Developments in Mplus Version 7: Part 2 - Muthén & Muthén

New Developments in Mplus Version 7: Part 2 - Muthén & Muthén

New Developments in Mplus Version 7: Part 2 - Muthén & Muthén

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Random Load<strong>in</strong>gs In IRT Cont<strong>in</strong>uedNote that cluster specific factor variance is confounded withcluster specific factor load<strong>in</strong>gs (it is not straight forward toseparate the two). Ignor<strong>in</strong>g cluster specific factor varianceshould not lead to misfit. It just <strong>in</strong>creases variation <strong>in</strong> the factorload<strong>in</strong>gs which absorb the variation <strong>in</strong> the factor varianceModel 1 setup <strong>in</strong> <strong>Mplus</strong>: the factor f is used on both levels torepresent the with<strong>in</strong> ε ij and the between θ j part of the factorAll between level components are estimated as <strong>in</strong>dependent.Dependence can be <strong>in</strong>troduced by add<strong>in</strong>g factor models on thebetween level or covariancesBengt <strong>Muthén</strong> & Tihomir Asparouhov <strong>New</strong> <strong>Developments</strong> <strong>in</strong> <strong>Mplus</strong> <strong>Version</strong> 7 8/ 159

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