Get a large group of people to independently judge the poems and see if there’s a quorum. It’s closer to social science than physics, but do-able all the same.D
Here’s why (IMHO) your example doesn’t constitute science ( although it may be that oxymoron “social science”). It is subjective. True science is objective, not subjective.
Let me give another example from the Olympic Games: the winner, second place, etc in a high jump, or in a dash can be incontrovertibly established–just measure the highest jump, the shortest time; the winner in figure skating depends on a point score from subjective judges, and even though it comes out as a number, it’s still subjective (how many scores in figure skating or gymnastics do you think may have been influenced by subjective nationalistic feelings?) And in your example, though you may get a number out (the vote score), you won’t KNOW in any sense what feelings one poem inspires in the mind of a judge. He/she may tell you that, but it will only be an imperfect, non-scientific piece of evidence.
The reason I get on a soap-box about this is that we live in dangerous times, when the pseudo-intellectuals and pseudo-scientists (e.g. Sam Davis, Richard Dawkins) attempt to set a moral code based on their own prejudices, by borrowing the prestige of science and calling their bias scientific. Consider that if one lived in Germany during the 1930’s; the racial theories of Haeckel were accepted by the majority so that the ethical and moral standards then (for those in the majority) condoned the murder of Jews, Catholic priests, gypsies and the mentally unfit. Suppose you lived now in New York city, or any large metropolitan area, what the moral standards set by the majority would be.
I maintain, despite what those say who know nothing of what science is about (including the etymologists who prescribe dictionary definitions–and dictionary definitions are not immutable), that science is a network of theories and
quantitative, objective measurement, measurement confirming theory (see the work of Lakatos).