I want to examine the relationships between three latent variables namely: Emotional Intelligence, Self Efficacy and Geography Achievement using SEM with Amos. I used three instruments to collect data. Emotional intelligence was tested using scale consists of 39 items divided to seven subscales, self efficacy was tested using scale consists of 22 items divided to two subscales and geography achievement was tested using test consists of 40 items divided by three subscales.
First, the validity of these three instruments was tested using Rasch model. Then the interval score for each subscale was calculated using WINSTEPS software. Finally, each subscale used as indicators to their latent variables (instead to use items) to conduct the CFA and SEM.
My question: Is this procedure correct? I mean using subscales as indicators especially in this case when there are many latent variables and a lot of items (the model in attachment).