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Jul 10, 2022 at 21:34 vote accept Palace Chan
Jul 10, 2022 at 21:33 comment added Palace Chan that’s a good point - i could aggregate the underlying statistics across the dimensions and obtain more of a “continuous comparison” vs the p.value approach is forcing an awkward layer of “discretization” with a cutoff…
Jul 10, 2022 at 20:05 history edited dipetkov CC BY-SA 4.0
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Jul 10, 2022 at 19:56 comment added dipetkov Across items -- assuming items are independent -- would be straightforward if you weren't trying to express better/same/worse as a p-value because you can just tabulate the proportion of better/same/worse. With a p-value, the conclusions about one item depends on the conclusion about all the other items (because of the necessity to adjust the p-values).
Jul 10, 2022 at 18:55 comment added Palace Chan agree on the insufficiency of correlation alone here, e.g. set.seed(0); x <- rnorm(1000); y <- x + rnorm(1000, sd=0.1); y2 <- 1+3*y; cor(y, y2); lm(x ~ y)$coefficients; lm(x ~ y2)$coefficients where $cor$ is same so need more to spot the scaling. One wants to know how often A/B performs better/worse/same. It is interesting to know this over time and across items. correlation is just one dimension (assuming other aspects are also checked) in which a better/worse "score" could be built and this approach with t-tests came to mind. Curious of course about better alternatives for "across items"
Jul 10, 2022 at 18:24 history answered dipetkov CC BY-SA 4.0