Mixture Rasch Model with Main and Interaction Effects of Covariates on Latent Class Membership

Yıl 2019, Cilt: 6 Sayı: 3, 362 - 377, 15.10.2019

Tugba Karadavut Allan S. Cohen Seock-ho Kim

https://doi.org/10.21449/ijate.592789

Cited By: 2

Öz

Covariates have been used in mixture IRT models to help explain why examinees are classed into different latent classes. Previous research has considered manifest variables as covariates in a mixture Rasch analysis for prediction of group membership. Latent covariates, however, are more likely to have higher correlations with the latent class variable. This study investigated effects of including latent variables as covariates in a mixture Rasch model, in presence of and in absence of interactions between the covariates. Results indicated the latent and manifest covariates influenced latent class membership but did not have much influence on class ability means or class proportions. The influence was relatively higher for latent covariates compared to manifest covariates. The effects of the covariates on class membership and on item parameters were class specific. Substantial effects of covariates on item parameters yielded smaller standard errors for item parameter estimates. A significant interaction term also had an effect on the coefficients for predicting and explaining latent class membership.

Anahtar Kelimeler

Covariates, Item response theory, Latent class membership, Latent covariates, Mixture Rasch model

Mixture Rasch Model with Main and Interaction Effects of Covariates on Latent Class Membership

Öz

Covariates
have been used in mixture IRT models to help explain why examinees are classed
into different latent classes. Previous research has considered manifest
variables as covariates in a mixture Rasch analysis for prediction of group
membership. Latent covariates, however, are more likely to have higher
correlations with the latent class variable. This study investigated effects of
including latent variables as covariates in a mixture Rasch model, in presence
of and in absence of interactions between the covariates. Results indicated the
latent and manifest covariates influenced latent class membership but did not
have much influence on class ability means or class proportions. The influence
was relatively higher for latent covariates compared to manifest covariates.
The effects of the covariates on class membership and on item parameters were
class specific. Substantial effects of covariates on item parameters yielded
smaller standard errors for item parameter estimates. A significant interaction
term also had an effect on the coefficients for predicting and explaining
latent class membership.

Anahtar Kelimeler

Covariates, Item response theory, Latent class membership, Latent covariates, Mixture Rasch model

Kaynakça

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