Has Anyone Here Ever Run the Numbers on Stat Shards?
Based on the amount of complains about the respective values, I'd guess not. Especially where the middle row is concerned.
First, you cannot compare stats you do not pay gold for by their gold value. Rather, compare their effect on damage values in hypothetical (but realistic!) scenarios.
For instance, like this: A 250 base damage, 0.8 AP ratio ability against a 0 MR/6 MR target. With 0 AP, the ability does 250/235.8 damage (94.3%) With 10 AP, the ability does 258/243.4 damage (94.3%) 10 AP increases this ability's damage by 3.2%/3.2%.
That same ability against a more realistic 36/42 MR target. With 0 AP, the ability does 183.8/176.1 damage (95.8%) With 10 AP, the ability does 189.7/181.7 damage (95.8%) 10 AP increases this ability's damage by 3.2%/3.2%.
That same ability with more AP (200). With 200 AP, the ability does 301.5/288.7 damage (95.8%) With 210 AP, the ability does 307.4/294.4 damage (95.8%) An additional 10 AP increases the ability's damage by 2.0%/2.0%.