Comment by crazygringo

> We model tests as Bernoulli random variables and compute 95% confidence intervals around daily, weekly, and monthly pass rates. Statistically significant differences in any of those time horizons are reported.

They're going to need to provide a lot more detail on their methodology, because that doesn't make a lot of sense. From their graphs, they seem to be calculating the confidence interval around the previous value, then determining whether the new value falls outside of it. But that's not valid for establishing the statistical significance of a difference. You need to calculate the confidence interval of the difference itself, and then see if all the values within that confidence interval remain positive (if it excludes 0). This is because both the old and new measurement have uncertainty. Their approach seems to be only considering uncertainty for one of them.

They should also really be more specific about the time periods. E.g. their graphs only show performance over the past 30 days, but presumably the monthly change is comparing the data from 60 to 31 days ago, to the data from 30 days ago until yesterday? In which case the weekly graph really ought to be displaying the past two months, not one month.