If the first product was shown 1000 times, the second — 500 times, and the first had 50 clicks, the second 25 — how can they be compared?

To compare the effectiveness of two products with different numbers of impressions and clicks, the CTR (Click-Through Rate) metric is usually used:

CTR = (number of clicks) / (number of impressions)

In this case:

• First product: 50 clicks / 1000 impressions = 5%
• Second product: 25 clicks / 500 impressions = 5%

Thus, both products have the same CTR of 5%, indicating equal effectiveness in terms of clickability.

If a more in-depth comparison is needed, statistical tests (for example, a z-test for proportions) can be applied to determine if there is a statistically significant difference between the products' CTRs.