I have some pages on a website and I have to create an ordering based on "popularity"/"activity"
The parameters that I have to use are:
Are there any standards for what a formula for popularity would be? (if not opinions are good too)
(initially I thought of views + 10*comments + 10*likeit)
You could do something like what YouTube does - just have it sorted by largest count per category. For example - most viewed, most commented, most liked. In each category a different page could come first, though the rankings might likely be correlated. If you only need a single ranking, then you would have to come up with a formula of some sort, preferably derived empirically by analyzing a bunch of data you already have and deciding what should be calculated as good/bad, and working backwards to fit an equation that fits your decision.
You could even attempt a machine learning approach to "learn" what a good weighting is for combining each of these numbers as in your example formula. Doing it manually might also not be too hard.
There is no standard formula for this (how could there be?)
What you have looks like a fairly normal solution, and would probably work well. Of course, you should play around with the 10's to find values that suit your needs.
Depending on your requirements, you might also want to add in a time factor (i.e. -X points per week) so that old pages become less popular. Alternatively, you could change your "page views" to "page views in the last month". Again, this depends on your needs, it may not be relevant.
I would value comments more than 'like it's if the content invites a discussion. If it's just stating facts, an equal ration for comments and the like count seems ok (though 10 is a bit too much, I think...)
Does visit take into account the time the user spent somehow? You might use that, as well, as a 2 second view means less than a 3 minute one.