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I’m having trouble wording my problem to search for it, so if anyone could point me in the right direction it would be appreciated.
I have multiple scores given out of 5 for a series of objects.
How can I find which object has the best overall rating? A similar formula to Amazon’s reviews or Reddit’s best comments (probably a lot more basic?), so not necessarily finding the highest average score but incorporating the number of reviews given to get the “best”.
Any ideas?
This seems to be a classical application of the Friedman test: “n wine judges each rate k different wines. Are any wines ranked consistently higher or lower than the others?” Friedman test is implemented in many statistical packages, e.g., in R: friedman.test.
Friedman test will return the p-value. If the p-value is not siginificant there is no reason to assume that some of the objects are consistently ranked higher than other ones. If the p-value is significant, then you know that some objects have been ranked higher than others but you still do not know which ones. Hence, appropriate post-hoc multiple comparisons tests should be performed.
A number of different post-hoc tests can be performed, see e.g., for R code of an example post-hoc analysis http://www.r-statistics.com/2010/02/post-hoc-analysis-for-friedmans-test-r-code/