I have a question regarding interactions. Using the Interaction Search tool in Lighthouse studio, I found several interactions in both the basic 2LL test and the modified 2LL test (by using the HB utilities file). I have a few questions regarding these interactions:
1. I want to know which levels that are interacting have the most significant statistical significance in the basic 2LL test and modified 2LL test. I looked at the "RUNS" tab of the interaction search, which gives me the effects and t ratios per level and interaction.
- Within a significant interaction effect between attributes, I can find effect scores and t ratios of interactions between specific levels. Are only the ones above 1.96 significant to at least the 95% confidence? What does the effect tell me?
- Within a non significant interaction effect between attributes, I can still find some interactions between specific levels that are above 1.96. Does this mean that this interaction between levels is significant, although the interaction between attributes is not significant?
2. The 2LL P-Value for Interaction Effect within the modified 2LL test shows two interactions that are significant (95% confidence). However, when looking at the individual t ratios, no significant interacting levels can be found. Furthermore, when clicking on the "Charts" tab of the Interaction search, no interactions are found. How is it so that the 2LL P-Value still reports for a significant interaction?
3. I want to know if there are specific interactions within my Latent Classes I have estimated. I want to do this the same way as the basic 2LL test and the modified 2LL test (so with Logit and HB estimates). From what I understand:
- I have the estimated utilities from the Latent Class report (as a logit)
- By including Latent Classes in the HB utility report as a segment, I now have HB utility values.
How do I now use these utility values for finding interactions in Latent Classes?
I understand this is a pretty large post, but since all my questions are centred around interactions, I assumed these would be the best way. I am looking forward to your answers.