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average revenue per user increases each country but decreases when combined

The algebra is as follows: Let $R_1, R_2$ be revenues per country, $R= R_1+R_2$, $N_1, N_2$ be population per country, $N= N_1 + N_2$, and write the per capita magnitudes as $$r_1 = \frac{R_1}{N_1},\...
Alecos Papadopoulos's user avatar
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average revenue per user increases each country but decreases when combined

This phenomenon is called Simpson's Paradox, but it's not really paradoxical. The likely explanation is that you are getting more users in lower-revenue countries. Toy example: Before: In Cheapia: ...
Thomas Lumley's user avatar
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When would we use tantiles and the medial, rather than quantiles and the median?

SAMPLE TANTILES Using order-statistics notation, let an ordered sample of size $n$ $$X_{(t)}\equiv \{x_{(1)},x_{(2)}, \dots, x_{(n)}\}.$$ Define the partial sums (in their usual sense) $$S_{(j)} \...
Alecos Papadopoulos's user avatar

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