Even though the last post is basically a month ago, I am still committed to this diary. Therefore I thought to provide an update. I spent the last month with finishing the experiment and preparing its pre-registration. In that progress, I have started working on the R script that analyses the data to include it in the pre-registration. I want to use mixed linear models to analyse the data so that I can model the performance on individual trials. To really understand these models, I simulated data, which can be found here. This worked quite well though I still need to understand why the models sometimes do not converge.
In addition, I want provide an expected effect size and determine the sample size, but unfortunately there are no studies, on which I can confidently base my calculations on. Hence we decided to collect around 16 participants completing the full new design of the experiment. This will enable me to provide an effect size and find the best combination of fixed and random factors for the mixed linear models. As soon as the prober study launches, I will upload all the scripts etc.