I have a large sample (10000+ per location) of temperature measurements which I would like to compare between 3 locations. I'm checking if there is a significant difference in temperture means between these 3 locations. My data fails the normal distribution and homogeneity of variance assumptions, so I did a Kruskal-Wallis test (it is significant in all pairwise comparisons; p = 0,000) and I calculated the effect size, which was 0,081. Due to a large sample of data, the p-value was expected. My question now is how to interpret or better yet, present the results? I presume that the effect size is considered low in my case, so there is a difference but it is not that "significant", even though the p-value is very low? Can I say that?
I'm comparing these 3 locations (which are generaly very similar), because a certain plant species grows only on one of them and I'm checking if any of the abiotic factors could be contribuiting to the fact that the species grows only there. Based on my results I cannot really say that temperature is one of those factors?
I got the effect size value as in this video: https://www.youtube.com/watch?v=Rna4VHHu4cI - is this the correct method? I'm on a basic level in SPSS.
Thank you in advance!