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Sep 21, 2017 at 19:10 comment added Russ Lenth My suggestion is the same as for a lot of other things. Judge it both practically (does the lsmip plot ring any alarm bells, in terms of practical significance?) and statistically ($F$ test of interaction from ANOVA). You can get statistical significance for results that have no practical importance; and you can fail to have statistical significance for results that do appear to be practically important, if you have insufficient data to know it with any confidence.
S Sep 20, 2017 at 19:29 history suggested have fun CC BY-SA 3.0
I changed in the question the suggested edits
Sep 20, 2017 at 17:39 history bounty ended have fun
Sep 20, 2017 at 17:39 comment added have fun I particularly appreciated "statistics isn't about asterisks and P values", I would like to write it to some reviewer...Do you have any suggestion on how to check the strength of the interaction?
Sep 20, 2017 at 17:38 review Suggested edits
S Sep 20, 2017 at 19:29
Sep 20, 2017 at 17:37 vote accept have fun
Sep 19, 2017 at 14:43 history answered Russ Lenth CC BY-SA 3.0