Attack Damage Explanation

The true damage output of a Pokemon has been debated for a while.  With the help of u/Qmike's research and u/Homu's testing, we finally have DPS values that's reflective the damage Pokemon dealt ingame. 

Damage =

$$Floor( ½ Power \frac{Attack}{Defense} STAB * Effectiveness) + 1$$

Where Attack and Defense are defined as:

$$Attack = (Base Attack + Attack IV) CPM$$ $$Defense = (Base Defense + Defense IV) CPM$$

In a nutshell, your Pokemon's attacks deal damage based on:

• The attacking Pokemon's base attack, attack IV, and level.
• The defending Pokemon's base defense, defense IV, and level.
• The attacking Pokemon's damage multipliers (STAB, Same Type Attack Bonus) and defending Pokemon's type disadvantages.

Once we know the damage output, we divide by the move's cooldown to get DPS.

$$True DPS = \frac{Damage}{Duration}$$

To keep things on the Pokemon pages simple:

• We ignore type advantage (although STAB is factored in for the attacker)
• Assume that the attacking and defending Pokemon are the SAME level.
• The defending Pokemon has 100 defense.  

Damage = Floor { Attack / 200  * Move Power * STAB } + 1

This helps you get a good idea of how powerful a move is and makes it easier to compare the DPS outputs of Pokemon with the same move.