What's the best method to see if there's a strong correlation between two types of ratings on a product level (product $1, 2, \dots, n$) where each product has ratings of type '$a$' and '$b$'?
For the paired averages of ratings (of type $a$ and $b$) on a product level, would it be biasing my results if I filter out products with small number of ratings per type of rating, or low standard error in either average of ratings, or a combination of both?
Which would be best: Pearson's or Spearman's?
What's the most valid way to observe a potential existence of a relationship?
Also, would said method allow for more explanatory factor variables, like product type?
The overall goal is to see if there is a correlated (or non-random) relationship between the two averages on a product level (since they're what's surfaced on the marketplace).