I am working on a mixed model, where suppose I have several stores of different sizes. The number of products manufactured in each store is different, say one store can manufacture 100 and other can do 10000 products as well. I have one independent variable as "total number of defects in a store". I am assuming that larger the products manufactured at a store, more will be the defects at that store.
Now if I take only the "absolute total number of defects" at a store, I am losing on the info about the total size of the stores. Can I use "percentage = (total defects at the store/total size of the store)" as my independent variable instead of "total defects at the store". Will that solve my issue? Or do I need to include interaction? Will the model become complicated in this scenerio?