An online Poisson test: compare event counts over different periods, such as tickets, orders or errors. An exact conditional test, the rate ratio and difference with intervals, and a daily check for bursts of events.
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Events must be a whole number from zero, length must be above zero.
A · Before release120 events · 30 days
mean 4.00 per day · dashed linevariance / mean = 0.33
B · After release150 events · 30 days
mean 5.00 per day · dashed linevariance / mean = 3.86
Paste a column from Excel or comma-separated numbers, one per day. Totals come from the sum and the number of days.
Overdispersion
In “After release” the variance is 3.9 times the mean: events come in bursts (promotions, outages), so the p-value is too low. Comparing daily means is safer.
When you count events over time rather than a share of people: one customer can contact support three times, and one outage can produce dozens of errors in an hour. If each visitor either did the action or did not, compare conversions instead. There each person gives a yes or a no, while here one person can produce any number of events.
The test accounts for length by comparing rates per unit of time rather than raw totals. Enter the length of each period, and 30 days can be compared with 14. The expected share of events in the first group comes from the lengths: with 30 and 14 days it is 30 out of 44. Make sure the periods do not cover different seasons or weekdays.
It shows how many times the rate of B exceeds the rate of A. A ratio of 1.25 means 25% more events, and 0.8 means 20% fewer. The interval shows where the true value may lie. If it includes one, the data are compatible with the two rates actually being equal, so the difference is not proven.
The test assumes one event does not cause another. Promotions and outages create bursts of events, so the spread is higher than expected and the p-value is too low. Turn on the “By day” mode: if the variance is more than one and a half times the mean, the calculator warns you. Comparing daily means in the revenue calculator is then safer.
If the difference is not yet proven, the calculator shows how long to observe for 80% power: for a 25% rise at 4 events per day, about 71 days in each period. The time depends heavily on the size of the difference and the event rate: the rarer the events and the smaller the difference, the longer you have to wait.
Add groups, up to 10 in total. Each one is compared with the first, and the table shows the ratio, interval and exact p for every pair. No multiple-comparison correction is applied here, and more pairs mean a higher chance of a false finding. Take the p-values to the corrections calculator, which applies Holm or Bonferroni.